Use the tools for manipulating partial derivatives to prove the following relations a) (), -G ),Total differentials:U(V,T)dU = C,dT + n7dVS(V,T)ds = dT + dvOTH(P,T)S(P,T)dH = C,dT + prdPds = dT - a,VdP%3Dx expansion coecooffemt-1avisothenmelamprem bydeb.) (). = T. (hint: you can start from the result you proved above).%DV.

Here we have to prove above thermodynamic relationship.

a) (),- ), Total differentials: U(V,T) du = C,dT + n-dV S(V,T) ds = aT + dv H(P,T) S(P,T) dH = C,dT + HrdP as = aT - a,VdP expansin coofemt-d lav for isothermed de b.) = T. (hint: you can start from the result you proved above). %3D

a) (),- ), Total differentials: U(V,T) du = C,dT + n-dV S(V,T) ds = aT + dv H(P,T) S(P,T) dH = C,dT + HrdP as = aT - a,VdP expansin coofemt-d lav for isothermed de b.) = T. (hint: you can start from the result you proved above). %3D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Use the tools for manipulating partial derivatives to prove the following relations

a) (), -G ),
Total differentials:
U(V,T)
dU = C,dT + n7dV
S(V,T)
ds = dT + dv
OT
H(P,T)
S(P,T)
dH = C,dT + prdP
ds = dT - a,VdP
%3D
x expansion coe
cooffemt-1av
isothenmel
amprem by
de
b.) (). = T. (hint: you can start from the result you proved above).
%D
V.

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