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sanchit_golu (214)

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Olaaa!! Perrrfect answer. 38  [50 rates]

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dq=du+dw
dq=0 for adibiatic
0=du+dw

d(pv)=nrt
pdv+vdp = nrdt
ndt = (pdv + vdp)/r

since
du = nCvdt
dw = pdv
0 = nCvdt + pdv
0 = Cv[(pdv+vdp)/r]+pdv
pdv [1+Cv/r] = -CvVdp/r
pdv Cp/r = -Cv Vdp/r
by intigrating
Cp logV = -Cv logP + logk
Cp Cv
logV + logP = log k

P^Cv * V^Cp = k

Cp/Cv
P^ = k
by comparing with P^Y=c
Y=cp/cv


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