1.

The relation between U,P and V foran ideal gas in an adiabatic process is given by U = 2 + 3 PV. The gas is

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monoatomic
diatomic
polyatomic
eithermonoatomic or diatomic

SOLUTION :For an adiabatic process,dQ= 0
Fromthe firstlawof THERMODYNAMICS, we get
or ` 0- dU + PdV`
From the given equation
`dU = 3 ( PdV + VdP)+ PdV`
` or 4P (dV) +3 V (dP) = 0or 4 (dV)/V)=-3 ((dP)/P)`
On integrating , we get
` "In"(V^(4) + "In"(P^(3))="constantor " PV^(4//3)` = constantCompareit with standardequation of an adiabatic process
` PV^(y) ` = constant,we get ` gamma = 4/3 `i.e,GASIS polyatomic .


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