   # The equilibrium constant K for the reaction 2 CI ( g ) ⇌ CI 2 ( g ) was measured as a function of temperature (Kelvin). A graph of In ( K ) versus 1/ T for this reaction gives a straight line with a slope of 1.352 × 10 4 K and a y-intercept of −14.5 1. Determine the values of ∆H° and ∆S° for this reaction. See Exercise 79. ### 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 80E
Textbook Problem
1 views

## The equilibrium constant K for the reaction 2 CI ( g ) ⇌ CI 2 ( g ) was measured as a function of temperature (Kelvin). A graph of In (K) versus 1/T for this reaction gives a straight line with a slope of 1.352 × 104 K and a y-intercept of −14.5 1. Determine the values of ∆H° and ∆S° for this reaction. See Exercise 79.

Interpretation Introduction

Interpretation: The slope and intercept of straight line plot of lnK versus 1/T is given. The values of ΔH°,ΔS° is to be calculated from the given data.

Concept introduction: The plot of lnK versus 1/T is a straight line. If the slope of this plot is negative, then the reaction will be endothermic, whereas if the slope of this plot is positive, then the reaction will be exothermic.

ln(K)=ΔH°RT+ΔS°R

### Explanation of Solution

Given

Slope of graph is 1.352×104K .

Intercept of graph is 14.51 .

The expression of equilibrium constant (refer to exercise 79 ) is,

ln(K)=ΔH°RT+ΔS°R

Where,

• ΔH° is the standard enthalpy change.
• ΔS° is the standard entropy change.
• R is the gas law constant (8.3145J/Kmol) .
• T is the absolute temperature.
• K is the equilibrium constant.

Compare the given relation with general straight line equation.

y=mx+c

The slope (m) of graph is,

m=ΔH°R (1)

The intercept (c) of graph is,

c=ΔS°R (2)

And,

y=lnKx=1T

Substitute the value of m and R in equation (1)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Water-soluble vitamins are mostly absorbed into the lymph. the blood. the extracellular fluid, b and c.

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Define the following terms: a. chromosome b. chromatin

Human Heredity: Principles and Issues (MindTap Course List)

Intensities being equal, which color of light moves farthest through seawater. Least far?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

A submarine dives from the water surface at an angle of 30 below the horizontal, following a straight path 50 m...

Physics for Scientists and Engineers, Technology Update (No access codes included)

What is an electron cloud?

Introductory Chemistry: An Active Learning Approach 