2 mole of an ideal gas at 27∘C expands iso - thermally and reversibly from a volume of 4 litre to 40 litre. The work done(in kJ)by the gas is:
w = - 11.488 kJ
n = 2,T = 300 K,V2 = 40 lit,V1 = 4 lit,R = 8.314/K/mol
Amount of work done is reversible isothermal expension
W = −2.303nRTlog(V2V1) = −2.303 × 2 × 8.314 × 300 × log(404) = −11.488kJ