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Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437

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Chapter
Section
BuyFindarrow_forward

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437
Chapter 5, Problem 5.42E
Textbook Problem
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For the reaction

2 Na ( g ) Na 2 ( g ) the following values of K have been determined (C. T. Ewing et al., J. Chem. Phys. 1967 , 71 , 473 ):

T (K) K
900 1.32
1000 0.47
1100 0.21
1200 0.10

From these data, estimate Δ rxn H ° for the reaction.

Interpretation Introduction

Interpretation:

The value of ΔrxnH° from the given data is to be predicted.

Concept introduction:

The relationship between equilibrium constants at two different temperatures is expressed as,

lnK2K1=ΔH°R(1T11T2)

Explanation of Solution

The relationship between ΔrxnH° and K is expressed as,

dlnK=ΔrxnH°Rd1T

The slope obtained from the graph plotted between 1T and lnK is equal to ΔrxnH°R.

The y-axis of the graph is lnK and the x-axis of the graph is 1T.

The value of 1T and lnK from the given data is,

T(K) K 1T lnK
900 1.32 0.0011 0.278
1000 0.47 0.001 0.755
1100 0.21 0.00091 1.56
1200 0.10 0.00083 2.30

The graph plotted between 1T and lnK is shown in Figure 1.

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Chapter 5 Solutions

Physical Chemistry
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