The relation between U, P and V for an ideal gas is U = 2 +…

Physics Thermodynamics Adiabatic Process MCQ (Single Correct)

The relation between U, P and V for an ideal gas is U = 2 + 3 P V. The gas is –

Monoatomic

Diatomic

Polyatomic

Either a monoatomic or diatomic

Text Solution

Verified by Experts

The correct answer is:

For an adiabatic process dQ = 0 = dU + dW

or 0 = dU + PdV

From the given equation

dU = 3 (PdV + VdP)

∴ 0 = 3 (PdV + VdP) + PdV

or 4P (dV) + 3V (dP) = 0

or 4 = – 3

On integrating, we get

ln(V 4 ) + ln(P 3 ) = constant

or PV 4/3 = constant

i.e., γ =

i.e., gas is polyatomic.

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