Kindly help with (b), c(i) & c(ii) 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 ofpressure under conditions of constant temperature?(iii)What is the Maxwell relation derived from this fundamental equation?(b) For any thermodynamic equation of state:ƏH'= V – T(-атTan2Derive an expression for () for the van der Waals gas (P +) (V – nb) = nRT%3DT.V2(c) Consider the following differential: dq = nCy dT +(i) Is the above differential dq, an exact or inexact differential?nRTdV, where n and R are constants.V[Show how you arrived to your conclusion by evaluating the appropriate partialdifferentials!!](ii) Based on your answer obtained in part c (i), is the thermodynamic quantity q a pathfunction or state function? Why?

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: (b) For any thermodynamic equation of…

(b) For any thermodynamic equation of state: ), =v - r ), ӘР. ле an Derive an expression for a (O, for the van der Waals gas (P +) (v – nb) = nRT %3D T. v2

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

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Kindly help with (b), c(i) & c(ii)

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:
ƏH'
= V – T(-
ат
T
an2
Derive an expression for () for the van der Waals gas (P +) (V – nb) = nRT
%3D
T.
V2
(c) Consider the following differential: dq = nCy dT +
(i) Is the above differential dq, an exact or inexact differential?
nRT
dV, where n and R are constants.
V
[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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