A) \[\frac{a}{b}\]
B) \[\frac{b+1}{b}\]
C) \[\frac{a+1}{a}\]
D) \[\frac{b}{a}\]
Correct Answer: B
Solution :
[b] For an adiabatic process, \[0=dU+PdV\] Or \[d(a+bPV)+PdV=0\] Or \[(b+1)\frac{dV}{V}+b\frac{dP}{P=0}\] Or \[(b+1)logV+blogP=constant\] Or \[{{V}^{b+1}}{{P}^{b}}=cons\tan t\] Or \[P{{V}^{\frac{b+1}{b}}}=cons\tan t\] \[\therefore \gamma =\frac{b+1}{b}\]
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