Example: Serum containing Na gave a signal of 4.27 mV in an atomic emission analysis. Then, 5 mL of 2.08 M NaCl were added to 95.0 mL of serum. The spiked serum gave a signal of 7.98 mV. Find the original concentration of Nat in serum.

Answers

Answer 1

Explanation:

It is known that,

       No. of moles = Concentration × volume

As 5 ml of 2.08 M NaCl NaS added to 95 ml of serum then,

        Total volume = (95 + 5) ml = 100 ml

Therefore, total moles of [tex]Na^{+}[/tex] = (5 × 2.08) + (95 × x)

where,      x =  concentration of [tex]Na^{+}[/tex] in original serum

Hence, signal obtained for this NaS = 7.8 mV

Let us assume same volume, that is, 100 ml Serum then [tex]Na^{+}[/tex] will be (100 × x) mol.

Signal obtained for this is 4.27 mV.

Now, the ratio of signal is equal to the ratio of mole.

So,   [tex]\frac{4.27}{7.98} = \frac{100x}{(5 \times 2.08) + 95x}[/tex]

                           x = 0.113

Thus, we can conclude that original concentration of [tex]Na^{+}[/tex] in Serum is 0.113.

Answer 2
Final answer:

The original concentration of Na+ in serum is found by using the provided signals before and after spiking with NaCl, identifying the change in signal due to added Na+, and back-calculating to find the initial Na+ level in serum. The calculation reveals that the original concentration of Na+ is approximately 0.126 M.

Explanation:

To find the original concentration of Na+ in serum, we use the information provided by the atomic emission analysis before and after spiking the serum with a known amount of NaCl. We are given that the unspiked serum produced a signal of 4.27 mV and the spiked serum produced a signal of 7.98 mV after adding 5 mL of 2.08 M NaCl to 95.0 mL of serum.

Step 1: Calculate the moles of Na+ added from the NaCl solution.
Moles of NaCl = 2.08 mol/L × 0.005 L = 0.0104 mol

Step 2: Since the reaction of NaCl in water leads to one mole of Na+ for every mole of NaCl, moles of Na+ added = 0.0104 mol.

Step 3: Calculate the increase in signal due to the added Na+.

Signal increase = 7.98 mV - 4.27 mV = 3.71 mV

Step 4: Determine the signal per mole of Na+ added.

Signal per mole = 3.71 mV / 0.0104 mol = 356.73 mV/mol

Step 5: Calculate the original moles of Na+ in serum from its signal.
Moles of Na+ in serum = 4.27 mV / 356.73 mV/mol = 0.01196 mol

Step 6: Calculate the concentration of Na+ using the serum volume.
Concentration of Na+ = 0.01196 mol / 0.095 L = 0.126 mol/L

The original concentration of Na+ in serum is approximately 0.126 M.

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Related Questions

Nitroglycerin is a dangerous powerful explosive that violently decomposes when it is shaken or dropped. The Swedish chemist Alfred Nobel (1833-1896) founded the Nobel Prizes with a fortune he made by inventing dynamite, a mixture of nitroglycerin and inert ingredients that was safe to handle. (1) Write a balanced chemical equation, including physical state symbols, for the decomposition of liquid nitroglycerin ( C3H5NO33 ) into gaseous dinitrogen, gaseous dioxygen, gaseous water and gaseous carbon dioxide. (2) Suppose 41.0L of carbon dioxide gas are produced by this reaction, at a temperature of −14.0°C and pressure of exactly 1atm . Calculate the mass of nitroglycerin that must have reacted. Round your answer to 3 significant digits.

Answers

Answer:

a. [tex]4 C_3H_5N_3O_9 (l)\rightarrow 6N_2 (g) + O_2 (g) + 10 H_2O (g) + 12 CO_2 (g)[/tex]

b. 146.0 g

Explanation:

Question 1 (a). Just as the problem states, liquid nitroglycerin decomposes into nitrogen gas [tex]N_2[/tex], oxygen gas [tex]O_2[/tex], water vapor [tex]H_2O[/tex] and carbon dioxide [tex]CO_2[/tex]. Let's write the decomposition of nitroglycerin into these 4 components:

[tex]C_3H_5N_3O_9 (l)\rightarrow N_2 (g) + O_2 (g) + H_2O (g) + CO_2 (g)[/tex]

Now we need to balance the equation. Firstly, notice we have 3 carbon atoms on the left and 1 on the right, so let's multiply carbon dioxide by 3:

[tex]C_3H_5N_3O_9 (l)\rightarrow N_2 (g) + O_2 (g) + H_2O (g) + 3 CO_2 (g)[/tex]

Now, we have 3 nitrogen atoms on the left and 2 on the right, so let's multiply nitrogen on the right by [tex]\frac{3}{2}[/tex]:

[tex]C_3H_5N_3O_9 (l)\rightarrow \frac{3}{2}N_2 (g) + O_2 (g) + H_2O (g) + 3 CO_2 (g)[/tex]

We have 5 hydrogen atoms on the left, 2 on the right, so let's multiply the right-hand side by [tex]\frac{5}{2}[/tex]:

[tex]C_3H_5N_3O_9 (l)\rightarrow \frac{3}{2}N_2 (g) + O_2 (g) + \frac{5}{2} H_2O (g) + 3 CO_2 (g)[/tex]

Finally, count the oxygen atoms. We have a total of 9 on the left. On the right we have (excluding oxygen molecule):

[tex]\frac{5}{2} + 6 = 8.5[/tex]

This leaves [tex]9 - 8.5 = 0.5 = \frac{1}{2}[/tex] of oxygen. Since oxygen is diatomic, we need to take one fourth of it to get one half in total:

[tex]C_3H_5N_3O_9 (l)\rightarrow \frac{3}{2}N_2 (g) + \frac{1}{4} O_2 (g) + \frac{5}{2} H_2O (g) + 3 CO_2 (g)[/tex]

To make it look neater without fractional coefficients, multiply both sides by 4:

[tex]4 C_3H_5N_3O_9 (l)\rightarrow 6N_2 (g) + O_2 (g) + 10 H_2O (g) + 12 CO_2 (g)[/tex]

Question 2 (b). Now we can make use of the balanced chemical equation and apply it for the context of this separate problem. We're given the following variables:

[tex]V_{CO_2} = 41.0 L[/tex]

[tex]T = -14.0^oC + 273.15 K = 259.15 K[/tex]

[tex]p = 1 atm[/tex]

Firstly, we may find moles of carbon dioxide produced using the ideal gas law [tex]pV = nRT[/tex].

Rearranging for moles, that is, dividing both sides by RT (here R is the ideal gas law constant):

[tex]n_{CO_2} = \frac{pV_{CO_2}}{RT} = \frac{1 atm\cdot 41.0 L}{0.08206 \frac{L atm}{mol K}\cdot 259.15 K} = 1.928 mol[/tex]

According to the stoichiometry of the balanced chemical equation:

[tex]4 C_3H_5N_3O_9 (l)\rightarrow 6N_2 (g) + O_2 (g) + 10 H_2O (g) + 12 CO_2 (g)[/tex]

4 moles of nitroglycerin (ng) produce 12 moles of carbon dioxide. From here we can find moles o nitroglycerin knowing that:

[tex]\frac{n_{ng}}{4} = \frac{n_{CO_2}}{12} \therefore n_{ng} = \frac{4}{12}n_{CO_2} = \frac{1}{3}\cdot 1.928 mol = 0.6427 mol[/tex]

Multiplying the number of moles of nitroglycerin by its molar mass will yield the mass of nitroglycerin decomposed:

[tex]m_{ng} = n_{ng}\cdot M_{ng} = 0.6427 mol\cdot 227.09 g/mol = 146.0 g[/tex]

In the development of atomic models, it was realized that the atom is mostly empty. Consider a model for the hydrogen atom where its nucleus is a sphere with a radius of roughly 10−15 m, and assume the electron orbits in a circle with a radius of roughly 10−10 m. In order to get a better sense for the emptiness of the atom, choose an object and estimate its width. This object will be your "nucleus". How far away would the "electron" be located away from your "nucleus"?

Answers

Answer:

See below

Explanation:

Lets choose a baseball ball which has to have a minimum of  diameter of 1.43 inches ( 1.43 in x 2.54 cm/in = 3.63 cm )

ratio electron/nucleus =  10−10 m / 10−15 m = 100000

distance "e" = 3.63 cm x 100000 = 363000 cm ( 3630 m or 3.630 km )

Imagine to bat a baseball 3.6 km away !

The second messenger cyclic AMP (cAMP) is synthesized from ATP by the activity of the enzyme adenylyl cyclase. Cyclic AMP, in turn, activates protein kinase A (PKA), also called cAMP‑dependent protein kinase, which is responsible for most of the effects of cAMP within the cell. Determine the correct steps in the activation of PKA, and then place them in the correct order, starting after the adenylyl cyclase reaction.

Answers

Final answer:

The correct steps in the activation of PKA after the adenylyl cyclase reaction are: cAMP binding to and activating the regulatory subunits of PKA, the catalytic subunits of PKA phosphorylating target proteins, and PKA being inactivated when cAMP is hydrolyzed by phosphodiesterase.

Explanation:

The correct steps in the activation of PKA, after the adenylyl cyclase reaction, are:

cAMP binds to and activates the regulatory subunits of PKA, causing them to release the catalytic subunits.The catalytic subunits of PKA phosphorylate target proteins, leading to their activation or inhibition.PKA is inactivated when cAMP is hydrolyzed by phosphodiesterase, reducing the levels of cAMP in the cell.

Overall, the activation of PKA by cAMP allows for the regulation of various cellular processes, including metabolism, gene expression, and cell signaling.

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Final answer:

The correct steps in the activation of PKA after the adenylyl cyclase reaction are: adenylyl cyclase converts ATP to cAMP, cAMP binds to and activates Protein Kinase A (PKA), and activated PKA phosphorylates serine and threonine residues of target proteins, activating them.

Explanation:

The correct steps in the activation of PKA after the adenylyl cyclase reaction are:

Adenylyl cyclase converts ATP to cAMP.cAMP binds to and activates Protein Kinase A (PKA).Activated PKA phosphorylates serine and threonine residues of target proteins, activating them.

These steps occur in the cAMP second messenger system and are responsible for the effects of cAMP within the cell.

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Predict the shape, state the hybridizationof the central atom,and give the ideal bond angle(s) and any expected deviations ineach of the following.
a) BiF52-
Shape:
Hybridization:
Ideal bond angle(s):
Deviation from ideal angle(s):
b) BrO3-
Shape:
Hybridization:
Ideal bond angle(s):
Deviation from ideal angle(s):
c) IF4+
Shape:
Hybridization:
Ideal bond angle(s):
Deviation from ideal angle(s):

Answers

Answer:

BiF5

Shape- trigonal bipyramid

Hybridisation-sp3d

Ideal bond angle-120 and 90

BrO3-

Shape- tetrahedral

Hybridisation-sp3

Ideal bond angle 109o28'

IF4+

Shape- trigonal bipyramid

Hybridisation-sp3d

Ideal bond angle-120o and 90o

Explanation:

The shape adopted by a molecule according to VSEPR is such as minimizes repulsion between electron pairs. The shape of a molecule depends on electron pairs present on the outermost shell of the central atom. The bond angles are such that electrons are positioned as far apart in space as possible, given the number of electron pairs present.

Final answer:

BiF52- has a square pyramidal shape, sp3d2 hybridization, with ideal bond angles of 90° and 120°. BrO3- has a trigonal pyramidal shape, sp3 hybridization, with an ideal bond angle of 109.5°. IF4+ has a square planar shape, sp3d2 hybridization, with ideal bond angles of 90° and 180°.

Explanation:

The shape, hybridization of the central atom, ideal bond angle(s), and any expected deviations for the molecules are as follows:

BiF52-: The shape is square pyramidal. The hybridization of the central atom, Bi, is sp3d2. The ideal bond angles are 90° and 120°. Due to the presence of lone pairs, there can be deviations from these angles.BrO3-: This molecule has a trigonal pyramidal shape. The hybridization of the central Br atom is sp3. The ideal bond angle is 109.5°. Since there is one lone pair of electrons, deviations from the ideal angle occur.IF4+: The shape of this molecule is square planar. The central atom I is in sp3d2 hybridization. The ideal bond angles are 90° and 180°. As it is a symmetrical molecule with no lone pairs, there aren't deviations from this angle.

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What is the conjugate acid of each of the following? What is the conjugate base of each?

(a) OH−
(b) H2O
(c) HCO3 −
(d) NH3
(e) HSO4 −
(f) H2O2
(g) HS−
(h) H5N2+

Answers

The specie formed when an acid looses a proton is its conjugate base.

According to the Brownstead - Lowry definition, an acid donates a proton while a base accepts a proton. The specie formed when an acid looses a proton is its conjugate base.

The conjugate acids of the following Brownstead - Lowry bases are;

[tex]OH^-[/tex] ----> [tex]H2O[/tex]

[tex]H2O[/tex]----->[tex]H3O^+[/tex]

[tex]NH3[/tex] -----> [tex]NH4^+[/tex]

[tex]HS^-[/tex]----> [tex]H2S[/tex]

The conjugate bases of the following acids are shown;

[tex]H2O2[/tex] -----> [tex]HO2^-[/tex]

[tex]H5N2+[/tex] ------> [tex]H4N2[/tex]

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Final answer:

This is a high school chemistry question about identifying conjugate acids and bases. The conjugate acid of a base is formed when the base accepts a proton, while a conjugate base is formed when an acid donates a proton.

Explanation:

When a base accepts a proton (H+), it becomes a conjugate acid, and when an acid donates a proton, it becomes a conjugate base.

For the given compounds:

(a) OH−: Conjugate acid is H2O; Conjugate base doesn't exist as OH- is a base.(b) H2O: Conjugate acid is H3O+; Conjugate base is OH-.(c) HCO3− : Conjugate acid is H2CO3; Conjugate base is CO3^2-.(d) NH3 : Conjugate acid is NH4+; Conjugate base doesn't exist as NH3 is a base.(e) HSO4− : Conjugate acid is H2SO4; Conjugate base is SO4^2-.(f) H2O2 : Conjugate acid is H3O2+; Conjugate base is HO2-.(g) HS− : Conjugate acid is H2S; Conjugate base is S^2-.(h) H5N2+ : Conjugate acid doesn't exist as H5N2+ is an acid; Conjugate base is H4N2.

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One way in which the useful metal copper is produced is by dissolving the mineral azurite, which contains copper (II) carbonate, in concentrated sulfuric acid. The sulfuric acid reacts with the copper (II) carbonate to produce a blue solution of copper (II) sulfate. Scrap iron is then added to this solution, and pure copper metal precipitates out because of the following chemical reaction: Fe(s) + CuSO4 (aq) rightarrow Cu (s) + FeSO4 (aq) Suppose an industrial quality-control chemist analyzes a sample from a copper processing plant in the following way. He adds powdered iron to a 250. mL copper (II) sulfate sample from the plant until no more copper will precipitate. He then washes, dries, and weighs the precipitate, and finds that it has a mass of 96. mg . Calculate the original concentration of copper (II) sulfate in the sample. Be sure your answer has the correct number of significant digits.

Answers

Answer:

6,04x10⁻³M

Explanation:

For the reaction:

Fe(s) + CuSO₄(aq) → Cu(s) + FeSO₄(aq)

The precipitate of Cu(s) weights 96,0 mg. In moles:

Moles of Cu(s):

0,096g×(1mol/63,546g) = 1,51x10⁻³ moles of Cu(s). If you see the balanced equation 1 mole of CuSO₄ produce 1 mole of Cu(s). That means moles of CuSO₄ are the same of Cu(s), 1,51x10⁻³ moles of CuSO₄

As volume of the solution is 250 mL, 0,250L, the molar concentration of the original solution is:

1,51x10⁻³ moles of CuSO₄ / 0,250L = 6,04x10⁻³M

I hope it helps!

Calculate the change in the entropy of the system and also the change in the entropy of the surroundings, and the resulting total change in entropy, when a sample of nitrogen gas of mass 14 g at 298 K and 1.00 bar doubles its volume in (a) an isothermal reversible expansion, (b) an isothermal irreversible expansion against Pext = 0, and (c) an adiabatic reversible expansion.

Answers

Answer:

(a) Δ[tex]S_{sys}[/tex]  = 2.881 J/K; Δ[tex]S_{sur}[/tex]  = -2.881 J/K; total change in entropy = 0

(b)Δ[tex]S_{sys}[/tex]  = 2.881 J/K; Δ[tex]S_{sur}[/tex]  = 0 ; total change in entropy = 2.881 J/K

(c) Δ[tex]S_{sys}[/tex]  = 0 ; Δ[tex]S_{sur}[/tex]  = 0 ; total change in entropy = 0

Explanation:

In the given problem, we need to calculate the change in the entropy of the system and also the change in the entropy of the surroundings, and the resulting total change in entropy, when a sample of nitrogen gas of mass 14 g at 298 K and 1.00 bar doubles its volume. We have the following variable:

mass (m) = 14 g

Temperature = 298 K

Pressure = 1.00 bar

Initial volume = [tex]V_{1}[/tex]

Final volume = [tex]V_{2}[/tex] = [tex]2V_{1}[/tex]

(a) Change in entropy of the system Δ[tex]S_{sys}[/tex] = [tex]nRIn\frac{V_{2} }{V_{1} }[/tex]

where R = 8.314 J/(mol*K)

n = number of moles = mass/molar mass = 14/ 28 = 0.5 moles

Δ[tex]S_{sys}[/tex] = 0.5*8.314*ln2 = 2.881 J/K

Change in entropy of the surrounding Δ[tex]S_{sur}[/tex] = -2.881 J/K

Therefore, for a reversible process, the total change in entropy = Δ[tex]S_{sys}[/tex]+Δ[tex]S_{sur}[/tex] = 2.881 - 2.881 = 0

(b) Because entropy is a state function, we use the same procedure as in part (a). Thus, Δ[tex]S_{sys}[/tex]  = 2.881 J/K

Since surrounding does not change in this process Δ[tex]S_{sur}[/tex] = 0.

total change in entropy = Δ[tex]S_{sys}[/tex]+Δ[tex]S_{sur}[/tex] = 2.881 - 0 = 2.88 J/K

(c) For an adiabatic reversible expansion, q(rev) = 0, thus:

Δ[tex]S_{sys}[/tex]  = 0

Since heat energy is not transferred from the system to the surrounding

Δ[tex]S_{sur}[/tex]  = 0

total change in entropy = Δ[tex]S_{sys}[/tex]+Δ[tex]S_{sur}[/tex] = 0

The zinc within a copper-plated penny will dissolve in hydrochloric acid if the copper coating is filed down in several spots (so that the hydrochloric acid can get to the zinc). The reaction between the acid and the zinc is as follows: 2H+(aq)+Zn(s)→H2(g)+Zn2+(aq). When the zinc in a certain penny dissolves, the total volume of gas collected over water at 25 ∘C was 0.949 L at a total pressure of 758 mmHg .

Answers

Answer:

Mass of hydrogen gas evolved is 0.0749 grams.

Explanation:

Total pressure of the gases = p = 758 mmHg

Vapor pressure of water = 23.78 mmHg

Pressure of hydrogen gas ,P =  p - 23.78 mmHg = 758 mmHg - 23.78 mmHg

P = 734.22 mmHg = [tex]\frac{734.22}{760} atm=0.966 atm[/tex]

Temperature  of of hydrogen gas ,T= 25°C =298.15 K

Volume of hydrogen gas = V = 0.949 L

Moles of hydrogen gas =n

PV = nRT (Ideal gas equation )

[tex]n=\frac{PV}{RT}=\frac{0.966 atm\times 0.949 L}{0.0821 atm L/mol K\times 298.15 K}[/tex]

n = 0.03745 mol

Moles of hydrogen gas = 0.03745 mol

Mass of  0.03745 moles of hydrogen gas  = 0.03745 mol × 2 g/mol = 0.0749 g

Mass of hydrogen gas evolved is 0.0749 grams.

Concerning the 10.0 mL of 0.50 M NaCl to 100 mL of solution:
Does dilution change the concentration?

Yes
No

Answers

Answer:

Yes

Explanation:

Before dilution:

Volume of NaCl = 10 mL

Concentration of NaCl = 0.5 M

Number of moles = Molarity*Volume = 0.5*10 = 5 millimoles.

Note that number of moles of NaCl does not change on dilution as we are only adding water.

After dilution:

Volume of NaCl = 100 mL

Number of moles = 5 millimoles (no change)

New Concentration = Number of moles per volume in litres = [tex]\frac{5\times10^{-3}}{100\times10^{-3}}[/tex]= 0.05 Molar

Hence the concentration became one-tenth of the initial concentration after dilution.

Final answer:

Yes, dilution does change the concentration of a solution. By diluting a 0.50 M NaCl solution to a total volume of 100 mL, the concentration is reduced to 0.050 M, because the same amount of NaCl is spread out in a larger volume of water.

Explanation:

Concerning dilution, yes, it does change the concentration of the solution. When you add more solvent to a solution, the concentration of the solute decreases. For example, if you have a 0.50 M NaCl solution and add enough water to make the total volume 100 mL, the concentration of NaCl changes because the same amount of solute (NaCl) is now dispersed in a greater volume of solvent (water).

Step-by-step Calculation:

Determine the initial amount of NaCl in moles by multiplying the initial volume by the concentration: Moles of NaCl = 0.50 M × 0.010 L = 0.005 moles.

Keep in mind that the amount of NaCl does not change during dilution.

Calculate the final concentration by dividing the moles of NaCl by the final volume of the solution after dilution: Final concentration = 0.005 moles / 0.100 L = 0.050 M NaCl.

Part A Find ΔS∘ for the reaction between nitrogen gas and hydrogen gas to form ammonia: 12N2(g)+32H2(g)→NH3(g) Express your answer using one decimal place. ΔS∘Δ S ∘ = J/K Previous Answer Request Answer Incorrect; Try Again; 3 attempts remaining Part B Complete previous part(s) Provide Feedback

Answers

Answer:

[tex]\Delta S^{0}[/tex] for the given reaction is -99.4 J/K

Explanation:

Balanced reaction: [tex]\frac{1}{2}N_{2}(g)+\frac{3}{2}H_{2}(g)\rightarrow NH_{3}(g)[/tex]

[tex]\Delta S^{0}=[1mol\times S^{0}(NH_{3})_{g}]-[\frac{1}{2}mol\times S^{0}(N_{2})_{g}]-[\frac{3}{2}mol\times S^{0}(H_{2})_{g}][/tex]

where [tex]S^{0}[/tex] represents standard entropy.

Plug in all the standard entropy values from available literature in the above equation:

[tex]\Delta S^{0}=[1mol\times 192.45\frac{J}{mol.K}]-[\frac{1}{2}mol\times 191.61\frac{J}{mol.K}]-[\frac{3}{2}mol\times 130.684\frac{J}{mol.K}]=-99.4J/K[/tex]

So, [tex]\Delta S^{0}[/tex] for the given reaction is -99.4 J/K

Final answer:

The change in entropy in the reaction forming ammonia from nitrogen and hydrogen gas can be calculated using the stoichiometry of the balanced equation and the entropy values of the reactants and products.

Explanation:

The question is, 'Find ΔS∘ for the reaction between nitrogen gas and hydrogen gas to form ammonia: 1/2N2(g) + 3/2H2(g) → NH3(g)' To calculate this, we need to consider the stoichiometry of the balanced chemical equation, which tells us that one mole of N₂ will react with three moles of H₂ to form two moles of NH3. The stoichiometric factors derived from this equation can be used to determine the change in entropy (ΔS∘) for the reaction.

The change in entropy for a reaction can be determined using the equation ΔS∘ = ΣS∘(products) - ΣS∘(reactants). As per the balanced chemical equation N₂(g) + 3H₂(g) → 2NH3(g), ΔS∘ would be equal to the sum of the absolute entropies of 2 moles of NH3 (products) minus the sum of the absolute entropies of 1/2 moles of N2 and 3/2 moles of H2 (reactants). The specific entropy values would depend on data provided in a standard thermodynamic table.

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Electricity is the flow of electrons. The following questions relate to how electricity is quantified.1. Electrons are charged particles. The amount of charge that passes per unit time is calleda. potentialb. currentc. voltage2. The driving force for the electrons (i.e., the reason they are flowing in the first place) is measured bya. chargeb. currentc. potential3. Charge is measured ina. amperes (A)b. coulombs (C)c. joules (J)d. volts (V)4. Current is measured ina. amperes (A)b. coulombs (C)c. joules (J)d. volts (V)5. Potential is measured ina. amperes (A)b. coulombs (C)c. joules (J)d. volts (V)

Answers

Answer:

The correct option are:

1.  (b) current

2. (c) potential

3.  (b) coulombs (C)

4.  (a) amperes (A)

5.  (d) volts (V)

Explanation:

Electric charge is a property of a particle, like electron and proton. The subatomic particles, electrons and protons are negatively and positively charged particles, respectively.

The electric charge of a particle can be measured in coulomb, denoted by C.

Current or electric current is defined as the net flow of the electric charges through a given region, per unit time. Electric current can be measured in ampere, denoted by A.

Potential or Electric potential is described as the work done to displace the electric charges from one point to another. Potential is the driving force for the movement of charges and can be calculated in volt, denoted by V.

The flow of charge per unit time is current, measured in amperes (A), while the driving force for electron flow is electric potential, measured in volts (V), and charge itself is quantified in coulombs (C).

Understanding Electrical Quantities

The amount of charge that passes per unit time is called current, and is measured in amperes (A). The driving force that causes electrons to flow, known as the electric potential, is measured in volts (V). Charge itself is measured in coulombs (C).

Answering the questions provided:

The amount of charge that passes per unit time is called current.

The driving force for the electrons is measured by potential.

Charge is measured in coulombs (C).

Current is measured in amperes (A).

Potential is measured in volts (V).

Given that E°red = -1.66 V for Al3+/ Al at 25°C, find E° and E for the concentration cell expressed using shorthand notation below.
Al(s) Al3+(1.0 × 10-5 M) Al3+(0.100 M) Al(s)

A) E° = 0.00 V and E = +0.24 V
B) E° = 0.00 V and E = +0.12 V
C) E° = -1.66 V and E = -1.42 V
D) E° = -1.66 V and E = -1.54 V

Answers

The concentration cell involving Al3+ has a standard cell potential (E°) of -1.66 V, and the cell potential (E) is approximately -1.54 V. The correct option is D: E° = -1.66 V and E = -1.54 V.

To determine the standard cell potential (E°) and the cell potential (E) for the given concentration cell, we can use the Nernst equation and the standard reduction potential (E°red) for the half-reaction involved.

The shorthand notation for the concentration cell is given as:

[tex]\[ \text{Al(s) | Al}^{3+} (1.0 \times 10^{-5} \, \text{M}) \, || \, \text{Al}^{3+} (0.100 \, \text{M}) \, | \, \text{Al(s)} \][/tex]

Firstly, let's identify the two half-reactions occurring in the cell. The half-reaction for the left side (anode) is [tex]\(\text{Al} \rightarrow \text{Al}^{3+} + 3e^-\)[/tex], and for the right side (cathode), it is [tex]\(\text{Al}^{3+} + 3e^- \rightarrow \text{Al}\)[/tex].

The standard cell potential (E°) can be calculated using the standard reduction potentials [tex](\(E°_{\text{red}}\))[/tex] of the half-reactions:

[tex]\[ E° = E°_{\text{cathode}} - E°_{\text{anode}} \][/tex]

Given[tex]\(E°_{\text{red}} = -1.66 \, \text{V}\) for \(\text{Al}^{3+}/\text{Al}\)[/tex], we can substitute this into the equation to find E°. However, we need to consider the fact that the half-reaction for the anode is reversed in the standard reduction potential table. Therefore, \(E°_{\text{anode}} = -(-1.66 \, \text{V}) = 1.66 \, \text{V}\).

[tex]\[ E° = 0 - 1.66 \, \text{V} = -1.66 \, \text{V} \][/tex]

Now, to find the cell potential (E), we use the Nernst equation:

[tex]\[ E = E° - \frac{0.0592}{n} \log\left(\frac{[\text{Al}^{3+}]_{\text{cathode}}}{[\text{Al}^{3+}]_{\text{anode}}}\right) \][/tex]

Here, n is the number of electrons transferred (which is 3 for both half-reactions), and[tex]\([X]_{\text{cathode}}\[/tex] ) and [tex]\([X]_{\text{anode}}\)[/tex]are the concentrations of X at the cathode and anode, respectively.

For the given cell, plugging in the values:

[tex]\[ E = -1.66 - \frac{0.0592}{3} \log\left(\frac{0.100}{1.0 \times 10^{-5}}\right) \][/tex]

Calculating this gives approximately -1.54 V.

Therefore, the correct answer is option D: [tex]\(E° = -1.66 \, \text{V}\) and \(E = -1.54 \, \text{V}\)[/tex].

Complete question :- Given that E°red = -1.66 V for Al3+/ Al at 25°C, find E° and E for the concentration cell expressed using shorthand notation below.

Al(s) | Al3+(1.0 × 10-5 M) || Al3+(0.100 M) | Al(s)

A) E° = 0.00 V and E = +0.24 V

B) E° = 0.00 V and E = +0.12 V

C) E° = -1.66 V and E = -1.42 V

D) E° = -1.66 V and E = -1.54 V

Dinitrogen tetroxide partially decomposes according to the following equilibrium: N2O4 (g) → 2 NO2 (g)
A 1.000-L flask is charged with 3.00 × 10-2 mol of N2O4. At equilibrium, 2.36 × 10-2 mol of N2O4 remains.

Keq for this reaction is __________.

Answers

Answer:

Keq for this reaction is 6.94x10⁻³

Explanation:

The equilibrium equation is this one:

N₂O₄ (g) ⇄  2NO₂ (g)

Initially we have 0.03 moles from the dinitrogen tetroxide and nothing from the dioxide.

In the reaction, some amount of compound (x) has reacted.

As ratio is 1:2, we have double x in products.

Finally in equilibrium we have:

       N₂O₄ (g) ⇄  2NO₂ (g)

       0.03 - x          2x

And we know [N₂O₄] in equilibrium so:

0.03 - x = 0.0236

x = 0.03 - 0.0236 → 6.4x10⁻³

As this is the amount that has reacted, in equilibrium I have produced:

6.4x10⁻³  .2 = 0.0128 moles of NO₂

This is the expression for K,

[NO₂] ² / [N₂O₄]

0.0128² / 0.0236 = 6.94x10⁻³

Answer:

6.94x10-3

Explanation:

Which of the following sequences ranks the structures below in order of increasing acidity?

A) 1 < 2 < 3
B) 2 < 3 < 1
C) 3 < 1 < 2
D) 2 < 1 < 3

Answers

Answer:

Hi, no structure in the question was given to the answer the question.

Explanation:

Certain molecules or groups, when attached to an organic compound can make it become more acidic or less acidic. These groups are classified into 2

Electron withdrawing groups e.g the halogens F, Cl, Br and I. Fluorine is the best withdrawing group, next to chlorine and the least Iodine. Electron donating groups e.g Alkyls and Phenyl groups

Electron withdrawing groups makes the carboxylic more acidic. Also, the closer the electron withdrawing groups to the proton in the acid also makes the acid more acidic. This electron withdrawing group allows the electron density around the oxygen atom to be decreased.

Electron donating group makes the carboxylic acid less acidic. The more alkyl groups in a carboxylic acid, the less acidic the acid becomes. This allows the electron density around the oxygen atom in to be increased.

My grandmother left me some silver years ago. I opened the box containing the silver and it had tarnished. Using the equation below, if I had 300 g of silver that had tarnished and 175g H2S, which would be the limiting reactant? 2 Ag(s) + H2S(g) → Ag2S(s) + H2(g) A. hydrogen B. silver C. There is no limiting reactant in this case D. hydrogen sulfide E. silver sulfide

Answers

Answer:

B

Explanation:

The limiting reagent in a chemical reaction is the one that is consumed completely in the course of the reaction. It dictates the extent to which the reaction would proceed as the completion of the reaction is based solely on it.

There are several ways to determine the limiting reagent. The easiest way to do this that works is to divide the number of moles of each reagent by their stoichiometric coefficient in the balanced equation. The reactant with the least value is the limiting reagent.

Thus, we need to calculate the number of moles of silver and hydrogen sulphide. To do this, we simply divide the masses by the relative atomic masses or molecular masses.

The atomic mass of silver is 108.

The number of moles of silver is =

300/108 = 2.8

We now divide this by the stoichiometric coefficient: 2.8/2 = 1.4

We do same for hydrogen sulphide. The molar mass of hydrogen sulphide is 34g/mol

The number of moles is thus 175/34 = 5.15

We now divide this by stoichiometric coefficient = 5.15/1 = 5.15

We can see that silver has less number of the value and hence it is the limiting reactant.

A chemist prepares a solution of copper(II) sulfate CuSO4 by measuring out 79.g of copper(II) sulfate into a 500.mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in /molL of the chemist's copper(II) sulfate solution. Be sure your answer has the correct number of significant digits.

Answers

Answer:

The concentration of the copper(II) sulfate solution is 0.99 M

Explanation:

Step 1: Data given

Mass of copper(II) sulfate = 79 grams

Volume of the flask = 500 mL

Molar mass copper(II) sulfate = 159.61 g/mol

Step 2: Calculate moles copper(II) sulfate

Moles CuSO4 = Mass CuSO4 / molar mass CuSO4

Moles CuSO4 = 79.0 grams / 159.61 g/mol

Moles CuSO4 = 0.495 moles

Step 3: Calculate concentration

Concentration CuSO4 = moles / volume

Concentration CuSO4 = 0.495 moles / 0.5 L

Concentration = 0.99 M

The concentration of the copper(II) sulfate solution is 0.99 M

In an ionic compound, the size of the ions affects the internuclear distance (the distance between the centers of adjacent ions), which affects lattice energy (a measure of the attractive force holding those ions together). Based on ion sizes, rank these compounds of their expected lattice energy..
Note: Many sources define lattice energies as negative values. Please rank by magnitude and ignore the sign. |Lattice energy| = absolute value of the lattice energy.
a. RbCl ,b. RbBr ,c. Rbl ,d. RbF

Answers

Answer:

b

Explanation:

bc

Express the equilibrium constant for the following reaction.P(g) + 3/2 Cl2(g) ↔ PCl3(g)K = [PCl3]^2/[P]^2[Cl2]^3K = [PCl3]/[P][Cl2]^3/2K = [P][Cl2]^3/2/[PCl3]K = [P]^1/2[Cl2]^1/3/[PCl3]^1/2K = [PCl3]^2/[P]2[Cl2]3

Answers

The correct expression for the equilibrium constant (K) is:

K = [PCl₃]² / [P] × [Cl₂](3/2)

The correct expression for the equilibrium constant (K) of the given reaction is:

K = [PCl₃]² / [P] × [Cl₂](3/2)

In this expression:

[PCl₃] represents the molar concentration of PCl₃ (gaseous product).

[P] represents the molar concentration of P (reactant P in its gaseous state).

[Cl₂] represents the molar concentration of Cl₂ (reactant Cl₂ in its gaseous state).

The exponents in the expression correspond to the stoichiometric coefficients in the balanced chemical equation:

P(g) + 3/2 Cl₂(g) ↔ PCl₃(g)

The stoichiometric coefficients of P and Cl₂ are both 1, and the coefficient of PCl₃ is 1. To make the equation balanced, we need to multiply Cl₂ by 3/2 (1.5).

So, the correct expression for the equilibrium constant (K) is:

K = [PCl₃]² / [P] × [Cl₂](3/2)

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reddit The amount of NE released by sympathetic nerve terminals will be most strongly influenced by a change in which of the following? Alpha receptor sensitivity Alpha receptor density Extracellular [Ca2+] COMT activity

Answers

Answer: Extracellular [Ca2+]

Explanation:

The sensitivity and density of the alpha receptors serve to enhance the response to the release of norepinephrine (NE) . However, they do not exert a strong influence as the concentration of calcium ions on the amount of norepinephrine (NE) released by sympathic nerve terminals.

The release of neurotransmitters depends more on either an external or internal stimulus.This results in an action potential which on reaching a nerve terminal, results in the opening of Ca²⁺ channels in the neuronal membrane. Because the extracellular concentration of Ca²⁺ is greater than the intracellular Ca²⁺ concentration, Ca²⁺ flows into the nerve terminal. This triggers a series of events that cause the vesicles containing norepinephrine (NE) to fuse with the plasma membrane and release norepinephrine (NE) into the synapse. The higher the action potential, the higher the Ca²⁺ flow into the terminals resulting in higher amount of norepinephrine (NE) into the synapse, and vice versa.

Catechol-O-methyltransferase (COMT) is one of several enzymes that degrade catecholamines such as dopamine, epinephrine, and norepinephrine. It serves a regulatory purpose to lower the concentration of norepinephrine upon its release from nerve terminals.

Compare and contrast the three different types of friction. Explain one way they are all alike, and at least one way they are different.

Answers

Answer:

The correct answer is static, sliding and rolling friction.

Explanation:

There are three different types of friction. Static, sliding and rolling friction occur between solid surfaces. Static friction is strongest, followed by sliding friction and then rolling friction, which is the weakest of the three. The equality of these three types of friction is that they produce heat and make movement difficult. The difference is in their magnitude and in the conditions that produce each type of friction. Static is produced when a body at rest begins to move, sliding is produced when this body is already in motion and rolling is produced when a body rolls on a surface, deforming one or both of them.

Have a nice day!

ethanol is used as fuel for cars. Explain how energy is obtained from ethanol to fuel a car.

Answers

Ethanol fuel is ethyl alcohol, the same type of alcohol found in alcoholic beverages, used as fuel. It is most often used as a motor fuel, mainly as a biofuel additive for gasoline.

Answer:

the gas it runs on it

Explanation:

Heavy metal ions like lead(II) can be precipitated from laboratory wastewater by adding sodium sulfide, Na2S. Will all the lead be removed from 14.0 mL of 6.30×10-3 M Pb(NO3)2 upon addition of 13.1 mL of 0.0121 M Na2S? If all the lead is removed, how many moles of lead is this? If not, how many moles of Pb remain?

Answers

Answer:

All the 8.82*10^-5 moles of lead present is removed.

Explanation:

The total amount of lead II ion present is less than the amount of sulphide ion present and they react in 1:1 ratio so all the lead II ions are removed from the solution. See attached image.

For the reaction X2 + Y + Z -> XY + XZ it is found that doubling the concentration of X2 doubles the reaction rate. triplingthe concentration on triples the rate, and doubling the concentration of 2 has no effect, (a) What is the rate law for thisreaction? (b) Why is it that the change in the concentration of 2 has no effect on the rate? (c) Suggest a mechanism for thereaction that is consistent with the rate law.

Answers

Answer:

(a) R=k[X2][Y] (b) reaction is zero order wrt Z (c) X2 + Y --- XY +  X (slow step)

X + Z --- XZ    (fast step)

Explanation:

(a) Suppose the reaction rate R with respect to a component X2 with concentration [X2] is generally expressed as follows:

R = k [X2]^n                     (1)

Where k is the rate constant and n is the order of reaction with respect to X2.

When the reaction rate is found to double by doubling the concentration of X2, the following equation could be developed:

2R = k *(2[X2])^n           (2)

Dividing equation (2) by (1) yields

2R/R= k *(2[X2])^n / k *[X2]^n  

2=2^n , n = 1

Thus, the reaction is first order with respect to X2.

In the same manner,  

Tripling the concentration of Y triples the rate,  

R = k [Y]^m                     (3)

Where k is the rate constant and m is the order of reaction with respect to Y.

When the reaction rate is found to triple by tripling the concentration of Y, the following equation could be developed:

2R = k *(3[Y])^m           (4)

Dividing equation (4) by (3) yields

3R/R= k *(3[Y])^m / k *[Y]^m  

3=3^m  , m = 1

Thus, the reaction is first order with respect to Y.

Therefore,the rate law for this reaction is R = k [X2] [Y]

(b)

Provided that doubling the concentration of Z has no effect, we perform similar analysis as above with p representing order of reaction wrt Z:  

R = k [Z]^p                     (5)

R = k (2*[Z]^p                     (6)

R/R= k *(2[Z])^p / k *[Z]^p  

1=2^p  , p = 0

Thus, the reaction is zero order wrt Z. This explains why the change in concentration has no effect on the rate.

(c) A suggested mechanism for the reaction that is consistent with the rate law will therefore be

X2 + Y ----  XY +  X (slow step)

X + Z ---- XZ    (fast step)

The rate law is determined by the slow step, and this is very consistent with the experimentally observed data.

Besides, addition of the two step yields the overall reaction, and both steps are reasonable.

Final answer:

The rate law is Rate = k[X2][Y] indicating first order dependencies on X2 and Y. Z has no effect on the rate, suggesting it's not involved in the rate-determining step, which implies a reaction mechanism with an initial slow step not involving Z.

Explanation:

Rate Law and Reaction Mechanism

Based on the given information, we can deduce the rate law for the reaction. As the rate doubles when the concentration of X2 is doubled, and it triples when the concentration of Y is tripled, this suggests first order dependencies with respect to X2 and Y. There is no effect on the rate when the concentration of Z is doubled, which means Z is zero order in the rate law. Therefore, the rate law can be expressed as:

Rate = k[X2][Y]

The change in concentration of Z has no effect on the rate because it is not involved in the rate-determining step of the mechanism. The reaction mechanism likely involves a slow initial step that does not include Z, followed by a rapid step that includes it. Thus, the overall rate of the reaction is controlled by the first, slower step in the mechanism.

The percentage of water in an unknown hydrated salt is to bedetermined by weighing a sample of the salt, heating it to driveoff water, cooling it to room temperature, and re-weighing. Whichprocedural mistake would result in determining a percentage ofwater that is too low?
Procedural Mistakes

I. heating the sample in aclosed, rather than an open, container
II. re-weighing thesample before it has cooled to room temperature

A. I only
B. II only
C. both I andII
D. neither I norII

Answers

Answer:

B

Explanation:

If the sample is reweighed after it is removed from the furnace without being cooled to room temperature, its percentage water content will be too low as there would be almost no water if crystalization at such high temperature. However, when it is cooled to room temperature, the actual percentage of water contained in the sample can be accurately determined by weighing.

Final answer:

The procedural mistake that would result in determining a percentage of water that is too low is heating the sample in a closed container. Mistake I prevents the water from fully evaporating, which would cause an undercalculation of the water content.

Explanation:

When determining the percentage of water in a hydrated salt through heating, two procedural mistakes could lead to an inaccurate calculation of a lower percentage of water than the actual value. The correct answer to the given options is A. I only.

Heating the sample in a closed container (Mistake I) could prevent all the water from escaping, meaning that some water may remain inside, leading to an underestimation of the percentage of water in the salt.

In contrast, re-weighing the sample before it has cooled to room temperature (Mistake II) would not cause an underestimation but rather an overestimation, as the sample would weigh more due to the warmth. Therefore, Mistake II would not result in a lower percentage but rather potentially a higher percentage if the heat impacted the scale's reading.

The van Deemter equation describes plate height in terms of constants A, B, C, and the linear velocity, ux. Which statement is NOT true for the van Deemter equation?


A) A takes into account multiple pathways through the column. The value of A is column specific and independent of linear flow.

B) B takes into account longitudinal diffusion of the analyte in the mobile phase. The value of B is column specific and the impact of B on the plate height is inversely proportional to the linear velocity. x x + Cu u B H » A +

C) C takes into account equilibrium time between the stationary and mobile phase. The value of C is column specific and the impact of C on plate height is proportional to the linear velocity.

D) To minimize plate height, the optimal flow rate is the maxima for the plot of versus flow rate.

E) Linear velocity is the flow rate of the mobile phase.

Answers

Answer:

D) To minimize plate height, the optimal flow rate is the maxima for the plot of plate height versus flow rate.

Explanation:

Van Deemter equation in chromatography, relates the variance per unit length of a separation column to the linear mobile phase velocity by considering physical, kinetic, and thermodynamic properties of a separation.

The formula is:

H = A + B/u + C×u

Where:

H = HETP (plate height)

A = Eddy diffusion term .  

B = Longitudinal diffusion.

C = Resistance against mass transfer.

u = Linear velocity .

A) A takes into account multiple pathways through the column. The value of A is column specific and independent of linear flow.  TRUE. Eddy difussion term depends of column packing

B) B takes into account longitudinal diffusion of the analyte in the mobile phase. The value of B is column specific and the impact of B on the plate height is inversely proportional to the linear velocity. TRUE. Longitudinal difussion is another term that is specific to a column. Also, as the formula is H = A + B/u + C×u, the impact of B on the plate height is inversely proportional to the linear velocity.

C) C takes into account equilibrium time between the stationary and mobile phase. The value of C is column specific and the impact of C on plate height is proportional to the linear velocity.  TRUE. C is the time that system needs to equilibirum. Based on the formula, the impact of C on plate height is proportional to the linear velocity

D) To minimize plate height, the optimal flow rate is the maxima for the plot of plate height versus flow rate.  FALSE. The optimal flow is the minimum of the graph

E) Linear velocity is the flow rate of the mobile phase. TRUE. The Van Deemter equation describes u as the linear velocity of the mobile phase.

I hope it helps!

Final answer:

The correct statement that is NOT true for the van Deemter equation is option D) To minimize plate height, the optimal flow rate is the maxima for the plot of versus flow rate.

Explanation:

The correct statement that is NOT true for the van Deemter equation is option D) To minimize plate height, the optimal flow rate is the maxima for the plot of versus flow rate.

This means that in order to minimize the plate height, the optimal flow rate is not at the maximum point on the plot of plate height versus flow rate. The optimal flow rate is usually at a point of minimum plate height.

2) You are trying to determine a TLC solvent system which will separate the compounds X, Y, and Z. You ran the compounds on a TLC plate using hexanes/ethyl acetate 95:5 as the eluting solvent and obtained the chromatogram below. How could you change the solvent system to give better separation of these three compounds?

Answers

Answer:

Answer is in the explanation.

Explanation:

Thin layer chromatography is a chromatographic technique used to separate the components of a mixture using a thin stationary phase supported by an inert backing and a mobile phase. The separation principle is in the different affinities between the components of the mixture and the stationary or mobile phase.

The affinity in mobile phase could be improved changing the polarity of this phase. In this case, you could change proportion of hexane/ethyl acetate to change polarity of mobile phase and the affinity of the different compounds to mobile or stationary phase.

I hope it helps!

Thin-layer chromatography with its adjustable hexane/ethyl acetate ratio, serves as a precise and versatile tool for optimizing separation conditions and exploring diverse interactions in chromatography.

Thin-layer chromatography (TLC) is a chromatographic method that segregates mixture components via a slender stationary phase on an inert support and a mobile phase. The separation hin-ges on distinct affinities between mixture constituents and the stationary or mobile phase. Modifying the polarity of the mobile phase can enhance its affinity.

By adjusting the hexane/ethyl acetate ratio, the mobile phase's polarity transforms, influencing compounds' interactions with the stationary and mobile phases. This dynamic shift in affinity leads to differential migration rates, facilitating component separation.

TLC stands as a versatile tool in analytical chemistry, where subtle adjustments in solvent composition yield nuanced variations in separation patterns.

Fine-tuning the hexane/ethyl acetate proportions allows for targeted optimization of separation conditions, offering a precise means to explore and exploit the diverse interactions governing the chromatographic process.

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vWould radiation with a wavelength 0.91 nm or a frequency of 5.9×1011 s−1 be detected by an X-ray detector? Would radiation with a wavelength 0.91 or a frequency of 5.9×1011 be detected by an X-ray detector? Only the radiation with a wavelength 0.91 nm can be observed by an X-ray detector. Only the radiation with a frequency of 5.9×1011 s−1 can be observed by an X-ray detector. Both types of radiation can be observed by an X-ray detector. Neither type of radiation can be observed by an X-ray detector.

Answers

Answer:

Only the radiation with a wavelength 0.91 nm can be observed by an X-ray detector.

Explanation:

To answer this question we need to consult the ranges in which x rays are in the electromagnetic spectrum:

The X radiation in the electromagnetic spectrum fall in the region of:

frequency: 3 x 10¹⁶ Hz  to 3 x 10¹⁹ Hz     (1Hz = 1s⁻¹)

wavelengt: 1 pm  to 10 nm

Comparing the values in our question,

0.91 nm will be detected

5.9 x 10¹¹ Hz will not be detected.

The radiation with a wavelength 0.91 or a frequency of [tex]5.9*10^{11}[/tex] will have:

A. Only the radiation with a wavelength 0.91 nm can be observed by an X-ray detector.

Electromagnetic spectrum:

X-rays are both types of high energy (high frequency) electromagnetic radiation. They are packets of energy that have no charge or mass (weight).

The X radiation in the electromagnetic spectrum fall in the region of:

Frequency : 3 x 10¹⁶ Hz  to 3 x 10¹⁹ Hz     (1Hz = 1s⁻¹)

Wavelength : 1 pm  to 10 nm

On comparing to the values given in the question:

0.91 nm will be detected

5.9 x 10¹¹ Hz will not be detected.

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A fixed amount of gas at 25.0°C occupies a volume of 10.0 L when the pressure is 667 torr. Use Boyle's law to calculate the pressure (torr) when the volume is reduced to 7.88 L at a constant temperature of 25.0°C.a. 846 torrb. 526 torrc. 0.118 torrd. 1.11 torre. 5.26 × 104 torr

Answers

Answer:

The pressure, when the volume is reduced to 7.88L, is 846 torr (option A)

Explanation:

Step 1: Data given

The temperature of a gas = 25.0°C

AT 25 °C the gas occupies a volume of 10.0L and a pressure of 667 torr.

The volume reduces to 7.88 L but the temperature stays constant.

Step 2: Boyle's law

(P1*V1)/T1 = (P2*V2)/T2

 ⇒ Since the temperature stays constant, we can simplify to:

P1*V1 = P2*V2

⇒ with P1 = the initial pressure 667 torr

⇒ with V1 = the initial volume = 10.0 L

⇒ with P2 = the final pressure = TO BE DETERMINED

⇒ with V2 = the final volume = 7.88L

P2 = (P1*V1)/V2

P2 = (667*10.0)/7.88

P2 = 846 torr

The pressure, when the volume is reduced to 7.88L, is 846 torr (option A)

Final answer:

Using Boyle's law, the new pressure of the gas when its volume decreases from 10.0 L to 7.88 L (with initial pressure 667 torr) is calculated to be 846 torr.

Explanation:

To calculate the new pressure of a gas when its volume changes, we can use Boyle's law, which states that for a fixed amount of gas at constant temperature, the pressure of the gas is inversely proportional to its volume.

This means if the volume decreases, the pressure increases, and vice versa, as long as the temperature and the amount of gas remain unchanged.

When the volume of the gas decreases from 10.0 L to 7.88 L and the initial pressure is 667 torr, we set up Boyle's law as follows: P1 * V1 = P2 * V2

Substituting the known values gives: 667 torr * 10.0 L = P2 * 7.88 L

Assuming no typographical errors, to solve for P2 (the new pressure), we rearrange the equation:

P2 = (667 torr * 10.0 L) / 7.88 L

After performing the division, we find: P2 = 846 torr.

Therefore, the answer is (a) 846 torr, which aligns with Boyle's expectation that a decrease in volume leads to an increase in pressure.

A thermos bottle (Dewar vessel) has an evacuated space between its inner and outer walls to diminish the rate of transfer of thermal energy to or from the bottle’s contents. For good insulation, the mean free path of the residual gas (air; average molecular mass 5 29) should be at least 10 times the distance between the inner and outer walls, which is about 1.0 cm. What should be the maximum residual gas pressure in the evacuated space if T 5 300 K? Take an average diameter of d 5 3.1 × 10210 m for the molecules in the air.

Answers

There are quite a bunch of typo errors in the question; here is the correct question below:

A thermos bottle (Dewar vessel) has an evacuated space between its inner and outer walls to diminish the rate of transfer of thermal energy to or from the bottle’s contents. For good insulation, the mean free path of the residual gas (air; average molecular mass = 29) should be at least 10 times the distance between the inner and outer walls, which is about 1.0 cm. What should be the maximum residual gas pressure in the evacuated space if T = 300 K? Take an average diameter of d = 3.1 × 10⁻¹⁰ m for the molecules in the air.

Answer:

9.57 × 10⁻⁷ atm

Explanation:

The mean free path ( λ ) can be illustrated by the equation:

λ =   [tex]\frac{1}{\sqrt{2} \pi d{^2}N/V }[/tex]     ----------  (1)

N/V = [tex]\frac{N_AP}{RT}[/tex]                      ------------- (2)

From the above relation, we can deduce that;

P=  [tex]\frac{RT}{\sqrt{2}\pi d{^2}N{_A}λ }[/tex]     -------------(3)

let I=  λ

From the above equations;

d= diameter of the atom

[tex]{N_A}[/tex] = avogadro's constant

P= pressure

R= universal rate constant which is given by 0.08206 L atm mol⁻¹ k⁻¹

T= temperature

From the question, we are given that the mean free path of the residual air molecules ( d = 3.1 × 10⁻¹⁰ m) is equal to 10cm = 0.1m

Therefore, we can determine the pressure using equation (3)

i.e

P=  [tex]\frac{RT}{\sqrt{2}\pi d{^2}N{_A}λ }[/tex]

=  [tex]\frac{(8.314J{K^-^1)(300K)}}{\sqrt{2}(3.14)(3.1*10^{-10}m)^2(6.022*10^{23}mol^{-1})(0.1m) }[/tex]

=97.06 × 10⁻³ Pa   ×   [tex]\frac{1atm}{1.01325*10^5Pa}[/tex]

=9.57 ×  10⁻⁷  atm

Therefore, the maximum residual gas pressure in the calculated space is; 9.57 ×  10⁻⁷  atm

Place the following compounds in order of increasing strength of intermolecular forces.

a. CH3CH3 CH3(CH2)8CH3 CH3CH2CH2CH3
b. CH3CH3 < CH3(CH2)8CH3 < CH3CH2CH2CH3
c. CH3CH2CH2CH3 < CH3CH3 < CH3(CH2)8CH3
d. CH3(CH2)8CH3 < CH3CH3 < CH3CH2CH2CH3
e. CH3CH3 < CH3CH2CH 2CH3 < CH3(CH2)8CH3
f. CH3(CH2)8CH3 < CH3CH2CH2CH3 < CH3CH3

Answers

Answer:

CH3(CH2)8CH3 > CH3CH2CH2CH3 > CH3CH3 (Option f)

Explanation:

Larger and heavier atoms and molecules exhibit stronger dispersion forces than smaller and lighter ones. In a larger atom or molecule, the valence electrons are, on average, farther from the nuclei than in a smaller atom or molecule. They are less tightly held and can more easily form temporary dipoles.

CH3CH3 has a molar mass of 30.07 g/mol

CH3(CH2)8CH3 has a molar mass of 142.28 g/mol

CH3CH2CH2CH3 has a molar mass of 58.12 g/mol

CH3(CH2)8CH3 > CH3CH2CH2CH3 > CH3CH3 (Option f)

The compounds should be ordered by increasing strength of their London dispersion forces, which relate to their molecular size. The correct order is CH3CH3 < CH3CH2CH2CH3 < CH3(CH2)8CH3, reflecting the increasing number of electrons and molecule size from ethane, to butane, to decane. Option e) is correct.

When placing the compounds CH3CH3, CH3(CH2)8CH3, and CH3CH2CH2CH3 in order of increasing strength of intermolecular forces (IMFs), it is important to consider the types of intermolecular forces present and the size of the molecules. All three compounds are nonpolar and primarily exhibit London dispersion forces. Because dispersion forces increase with the number of electrons and, thus, with the size of the molecule, the compound with the longest carbon chain will have the strongest intermolecular forces.

Thus, the correct ordering from weakest to strongest intermolecular forces is:

CH3CH3 (Ethane) - smallest molecule with the fewest electrons and hydrocarbonsCH3CH2CH2CH3 (Butane) - larger molecule with more electrons and hydrocarbons than ethaneCH3(CH2)8CH3 (Decane) - largest molecule with the most electrons and hydrocarbons, thus the strongest dispersion forces

Therefore, the correct answer is e. CH3CH3 < CH3CH2CH2CH3 < CH3(CH2)8CH3.

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