Four identical samples of same polyatomic ideal gas undergo addition of same amount of heat under four different processes namely PV 1/2 = C , PV 3/2 = C , P = C and PV 2 = C . The final energy will b

Question

Four identical samples of same polyatomic ideal gas undergo addition of same amount of heat under four different processes namely PV 1/2 = C , PV 3/2 = C , P = C and PV 2 = C . The final energy will be maximum for the sample which has undergoes :-

TestHub · Accepted Answer

For a polytropic process PV x = C : Δ Q Δ U ​ = γ − 1 R ​ + 1 − x R ​ γ − 1 R ​ ​ = 1 + 1 − x γ − 1 ​ 1 ​ For a polyatomic gas γ = 3 4 ​ : Δ Q Δ U ​ = 1 + 3 ( 1 − x ) 1 ​ 1 ​ , which is maximum at x = 2 3 ​ Hence (B) PV 3/2 = C .

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