   # Given the values of ∆H and ∆ S , which of the following changes will be spontaneous at constant T and p ? a. ∆H = + 25 kJ, ∆S = + 5.0 J/K, T = 300. K b. ∆H = + 25 kJ, ∆ S = + 100. J/K, T = 300. K c. ∆H = − 10. kJ, ∆ S = + 5.0 J/K, T= 298 K d. ∆ H = − 10.kJ, ∆S =−40.J/K, T = 200.K ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 16, Problem 35E
Textbook Problem
1 views

## Given the values of ∆H and ∆S, which of the following changes will be spontaneous at constant T and p?a. ∆H = + 25 kJ, ∆S = + 5.0 J/K, T = 300. Kb. ∆H = + 25 kJ, ∆S = + 100. J/K, T = 300. Kc. ∆H = − 10. kJ, ∆S = + 5.0 J/K, T= 298 Kd. ∆H = − 10.kJ, ∆S =−40.J/K, T = 200.K

(a)

Interpretation Introduction

Interpretation: The spontaneous change in each case is to be predicted at constant temperature and pressure.

ΔG=ΔHTΔS

A reaction is said to be spontaneous if the value of ΔG is negative.

### Explanation of Solution

Given

The value of ΔH is 25kJ .

The value of ΔS is 5.0J/K .

Temperature is 300K .

The conversion of kilo-joule (kJ) into joule (J) is done as,

1kJ=103J

Hence,

The conversion of 25kJ into joule is,

25kJ=(25×103)J=25×103J

Formula

The formula of ΔG is,

ΔG=ΔHTΔS

Where,

• ΔH is the enthalpy of reaction

(b)

Interpretation Introduction

Interpretation: The spontaneous change in each case is to be predicted at constant temperature and pressure.

ΔG=ΔHTΔS

A reaction is said to be spontaneous if the value of ΔG is negative.

(c)

Interpretation Introduction

Interpretation: The spontaneous change in each case is to be predicted at constant temperature and pressure.

ΔG=ΔHTΔS

A reaction is said to be spontaneous if the value of ΔG is negative.

(d)

Interpretation Introduction

Interpretation: The spontaneous change in each case is to be predicted at constant temperature and pressure.

ΔG=ΔHTΔS

A reaction is said to be spontaneous if the value of ΔG is negative.

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