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

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Diatomic

Mono atomic

None of these

Polyatomic

answer is B.

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Detailed Solution

U = 2 + 3PV

= 2 + 3RT (Ideal gas : PV = RT)

C_V= (∂U/∂T)V = 3R (Specific heat at constant volume)

Also, C_P−C_V= R

C_P= C_V+ R = 4R (SpecifIC heat at constant pressure)

Adiabatic coefficient , γ = C_P/C_V = 4R/3R = 4/3

Polyatomic $γ = \frac{4}{3}$

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