A monoatomic gas performs a work of Q 4 where Q is the heat supplied to it. The molar heat capacity of the gas will be _____ R during this transformation. Where R is the gas constant.

Step-by-step solution

Using first law of thermodynamics, Q = ∆ U + W ⇒ Q = Δ U + Q 4 ⇒ Δ U = 3 Q 4 ⇒ ∆ U = 3 2 n R Δ T = 3 Q 4 Therefore, molar heat capacity, C = Q n ∆ T ⇒ C = 2 R