In this question, we derive the entropy of an Ideal Gas. a) By considering a constant volume process, show that the First Law, dE=dQdW can be written as nCydT=dQ – dW. b) Using the Ideal Gas Law, show that this expression can be written as nCy dT=dQ – nRT V 328 as usual, show that the change in entropy, AS, can be written as: c) By dividing by T, and defining d.S= AS=ffd dQ = nCv In +nRln Ti
In this question, we derive the entropy of an Ideal Gas. a) By considering a constant volume process, show that the First Law, dE=dQdW can be written as nCydT=dQ – dW. b) Using the Ideal Gas Law, show that this expression can be written as nCy dT=dQ – nRT V 328 as usual, show that the change in entropy, AS, can be written as: c) By dividing by T, and defining d.S= AS=ffd dQ = nCv In +nRln Ti
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Transcribed Image Text:In this question, we derive the entropy of an Ideal Gas.
a) By considering a constant volume process, show that the First Law, dE
dQ
dW can be written as nCydT=dQ – dW.
dV
b) Using the Ideal Gas Law, show that this expression can be written as nCv dT dQ - nRT V.
c) By dividing by T, and defining d.S
of dQ
T
Tf
AS = ff d = nCv In +nRln
Ti
=
dQ
as usual, show that the change in entropy, AS, can be written as:
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