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Chapter 5: Q5-50P (page 222)

In a reaction in which reactant A is in equilibrium with product B at

25 °C, what relative amounts of A and B are present at equilibrium if ΔG° at 25 °C is

a. 2.72 kcal/mol?

b. 0.65 kcal/mol?

c. -2.72 kcal/mol?

d. -0.65 kcal/mol?

Short Answer

Expert verified

a. The relative amount of A and B are 1 and 0.01 respectively.

b. The relative amount of A and B are 1 and 0.33 respectively.

c. The relative amount of A and B are 1 and 90 respectively.

d. The relative amount of A and B are 1 and 2.97 respectively.

Step by step solution

01

Explanation of formula

In an equilibrium reaction,

k1

A ⇌ B

k-1

From this, we can say, and the relation between kequi and ΔG° is equal to

ΔG° = -RTln(kequi)

02

calculation

  1. whenΔG° = 2.72 kcal/mol,

2.72 kcal/mol = -1.987 x 298 x In ( kequi )

In kequi =

The relative amount of A and B are 1 and 0.01 respectively.

b. when ΔG° = 0.65 kcal/mol,

0.65 kcal/mol = -1.987 x 298 x In(kequi )


The relative amount of A and B are 1 and 0.33 respectively.

  1. whenΔG° = -2.72 kcal/mol,

The relative amount of A and B are 1 and 90 respectively.

  1. whenΔG° = -0.65 kcal/mol,

The relative amount of A and B are 1 and 2.97 respectively.

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Most popular questions from this chapter

Question: Draw the structure for each of the following:

a. 3,3-dimethylcyclopentene

b. 6-bromo-2,3-dimethyl-2-hexene

c. ethyl vinyl ether

d. allyl alcohol

Given the reaction coordinate diagram for the reaction of A to form G, answer the following questions:

a. How many intermediates are formed in the reaction?

b. Which letters represent transition states?

c. What is the fastest step in the reaction?

d. Which is more stable,AorG?

e. DoesAorEform faster fromC?

f. What is the reactant of the rate-determining step?

g. Is the first step of the reaction exergonic or endergonic?

h. Is the overall reaction exergonic or endergonic?

i. Which is the more stable intermediate?

j. Which step in the forward direction has the largest rate constant?

k. Which step in the reverse direction has the smallest rate constant?

Question: Determine the degree of unsaturation for hydrocarbons with the following molecular formulas:

a. C20H34 b. C8H16 c. C12H20 d. C40H56

Which bond is stronger? Briefly explain why.

a. For a reaction with ∆H° = -12 kcal/mol and ∆S° = 0.01kcal mol-1 K-1, calculate the ∆G° and the equilibrium constant at: 1. 30 °C and 2. 150 °C.

b. How does ∆G° change as T increases?

c. How does Keq change as T increases?
See all solutions

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