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i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; -图 7 AS = S(V¡,T¡) – S(Vi, T;) = ;Rl Rln T + Rln %3D

i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; -图 7 AS = S(V¡,T¡) – S(Vi, T;) = ;Rl Rln T + Rln %3D

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; 7 AS = S(V;,T;) – S(V;, T;) = ;Rln + Rln T ii) The gas undergoes an isobaric compression from V; to V;/2. Evaluate the change in the number of microstates of the system that occurs as a result. ii) Using the equation derived in i), demonstrate that for an ideal gas undergoing an adiabatic expansion from initial volume V; to final volume V; the change in entropy is zero.
Transcribed Image Text:i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; 7 AS = S(V;,T;) – S(V;, T;) = ;Rln + Rln T ii) The gas undergoes an isobaric compression from V; to V;/2. Evaluate the change in the number of microstates of the system that occurs as a result. ii) Using the equation derived in i), demonstrate that for an ideal gas undergoing an adiabatic expansion from initial volume V; to final volume V; the change in entropy is zero.
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