Need a and b 5. An ideal gas is heated according to the irreversible pathway drawn in red on the T-Vdiagram below.(V, T)(V, , T)Volumea) Construct a thermodynamic cycle to compute the entropy change for the irreversible pro-cess, AS,.rev. Give your answer in terms of 7,. T. V. V, and the appropriate heat capacityCp or Cy.b) Similarly, what is AHrer?Temperature

At equilibrium ΔG = 0,ΔG = ΔH - TΔS0 = ΔH - TΔS ΔS = ΔHT substitute ΔH = dU + PdV and integrate…

Answered: 5. An ideal gas is heated according to…

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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Need a and b

5. An ideal gas is heated according to the irreversible pathway drawn in red on the T-V
diagram below.
(V, T)
(V, , T)
Volume
a) Construct a thermodynamic cycle to compute the entropy change for the irreversible pro-
cess, AS,.rev. Give your answer in terms of 7,. T. V. V, and the appropriate heat capacity
Cp or Cy.
b) Similarly, what is AHrer?
Temperature

Expert Solution

a) Entropy change for the irreversible process

At equilibrium $Δ G = 0$ ,
$Δ G = Δ H - T Δ S$
0 = $Δ H - T Δ S$
$Δ S = \frac{Δ H}{T}$
substitute ΔH = dU + PdV and integrate within the limits

$\int_{S_{1}}^{S_{2}} d S = S_{2} - S_{1} = Δ S_{i r r e v} = \int_{T_{i}}^{T_{f}} \frac{(d U + P d V)}{T}$
ΔS_irrev= $\int_{T_{i}}^{T_{f}} \frac{C_{v} d T}{T} + \int_{V_{i}}^{V_{f}} \frac{R d V}{V}$
ΔS_irrev= $C_{v} \ln \frac{T_{f}}{T_{i}} + R \ln \frac{V_{f}}{V_{i}}$

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