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 ____.
PVγ= constant
PV4/3= constant
In V4+In P3= constant
4dVV=−3dPP
4P(dV)+3V(dP)=0
3(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+3PV
So, n = 3