Find the amount of work done to increase the temperature of 1 mol of an ideal gas by 300C if it is expanding under the condition V α T2/3

volume    V=CT23---(1)differentiate with respect to temperture T    ⇒dV=23CT−13dTdivide with equation (1)⇒dVV=23dTT ⇒dV=23VdTT---(2)work done W=∫PdVsubstitute equation (2)W=∫P23VdTTW=∫T1T2 RT23dTT =R23T030 =R2330-0=166.2J