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(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

(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
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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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?
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: 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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