When 500 J heat is given to a gas at constant pressure, it performs 3 500 J work. Find the average number of degrees of freedom per molecule of gas :-

Question

When 500 J heat is given to a gas at constant pressure, it performs 3 500 ​ J work. Find the average number of degrees of freedom per molecule of gas :-

TestHub · Accepted Answer

Δ Q = W + Δ U Δ Q = n C P ​ Δ T = 500 at constant pressure W = n R Δ T = 3 500 ​ From equation (1) \& (2) R C P ​ ​ = 3 ⇒ R ( 2 f ​ + 1 ) R ​ = 3 ⇒ 2 f ​ = 2 ⇒ f = 4

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