Questión (a) From first principles, (i) Derive the fundamental equation for the changes in Gibbs energy. (ii) What does this equation tell us about how the Gibbs energy changes as a function of pressure under conditions of constant temperature? (iii)What is the Maxwell relation derived from this fundamental equation?
Questión (a) From first principles, (i) Derive the fundamental equation for the changes in Gibbs energy. (ii) What does this equation tell us about how the Gibbs energy changes as a function of pressure under conditions of constant temperature? (iii)What is the Maxwell relation derived from this fundamental equation?
Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Kindly assist with question 5(a)(i)(ii)(iii)
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![Question 5
(a) From first principles,
(i) Derive the fundamental equation for the changes in Gibbs energy.
(ii) What does this equation tell us about how the Gibbs energy changes as a function of
pressure under conditions of constant temperature?
(iii)What is the Maxwell relation derived from this fundamental equation?
(b) For any thermodynamic equation of state:
дн
= V - T
ӘР
Derive an expression for ().
an²
for the van der Waals gas (P + V – nb) = nRT
nRT
(c) Consider the following differential: dq = nC, dT + dV, where n and R are constants.
(i) Is the above differential dq, an exact or inexact differential?
[Show how you arrived to your conclusion by evaluating the appropriate partial
differentials!!]
(ii) Based on your answer obtained in part c (i), is the thermodynamic quantity q a path
function or state function? Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5eb2cf4a-2e60-4cc6-a01e-d5a0b98f77a8%2F95ea2167-030a-4458-abd0-7f28b3e019cb%2Fooxgc3j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5
(a) From first principles,
(i) Derive the fundamental equation for the changes in Gibbs energy.
(ii) What does this equation tell us about how the Gibbs energy changes as a function of
pressure under conditions of constant temperature?
(iii)What is the Maxwell relation derived from this fundamental equation?
(b) For any thermodynamic equation of state:
дн
= V - T
ӘР
Derive an expression for ().
an²
for the van der Waals gas (P + V – nb) = nRT
nRT
(c) Consider the following differential: dq = nC, dT + dV, where n and R are constants.
(i) Is the above differential dq, an exact or inexact differential?
[Show how you arrived to your conclusion by evaluating the appropriate partial
differentials!!]
(ii) Based on your answer obtained in part c (i), is the thermodynamic quantity q a path
function or state function? Why?
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