The relation between U,P and V for an ideal gas is `U=2+3PV` . What is the atomicity of gas.

Explanation

For an adiabatic process
`dQ=0=dU+dW or 0=dU+PdV" _____"(1)`
From the given equation
`dU=3(PdV+VdP)`
`:. 0=3(PdV+VdP)+PdV ("from "(1)) or 4P (dV)+3V(dP)=0 or 4[(dV)/V]=-3[(dP)/P]`
On integrating, we get
In `(V^(4))+ In (P^(3))="constant "(or) PV^(4//3)=constant`
i.e., `gamma=4/3` i.e., gas is polyatomic.