Answered: A 1.0 B 0.5 22.4 44.8 Volume (L)…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

One mole of an ideal gas undergoes the cycle, A⟶B⟶C⟶A, as shown in the graph. For this gas, C_V = 1.5R. Step C⟶A is isothermal and reversible.

1) Calculate ΔS for each step in the process.

A
1.0
B
0.5
C
22.4
44.8
Volume (L)
Pressure (atm)

Expert Solution

Introduction

From A $\to$ B
The process from A $\to$ B is isobaric since process is constant
For isobaric process entropy change is,
ΔS_AB = n C_p ln (V₂ / V₁)
Here C_p - C_v = R
but C_v = 1.5R
C_p = R + 1.5R = 2.5R

From B $\to$ C
the process from B $\to$ C is isochoric since volume is constant
ΔS_BC = n C_v ln (P₂ / P₁)

From C $\to$ A
it is given in the question that it is isothermal and reversible process,
ΔS_CA = nR ln(V₂ / V₁)

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