Q.

The value of γ=CP/CV is 4/3 for an adiabatic process of an ideal gas for which internal energy U=K+nPV. The value of n (K is a constant ) is ___.

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answer is 3.

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Detailed Solution

PVγ= constant PV4/3= constant In V4+In⁡P3= constant 4dVV=−3dPP4P(dV)+3V(dP)=03(PdV+VdP)+PdV=0          …(i)For adiabatic process, dQ=0=dU+dW=dU+PdV                           …(ii)Compare Eqs. (i) and (ii), dU=3(PdV+VdP)U=K+3PVSo, n = 3
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