For a monoatomic gas, work done at constant pressure is W . The heat supplied at constant volume for the same rise in temperature of the gas is

Step-by-step solution

Heat supplied at constant pressure, Q ₁= nC _ p T Heat supplied at constant volume, Q ₂= nC _ v T Work done, W = Q ₁- Q ₂= n ( C _ p - C _ v ) dT aligned & W Q ₂ = C _ p - C _ v C _ v = C _ p C _ v -1= 5 3 -1= 2 3 & Q ₂= 3 ~W 2 aligned