Heat is supplied to a monoatomic ideal gas at a constant rate of 150 W . If the gas expands isobarically, the rate at which the gas does work is :

Step-by-step solution

For a monoatomic ideal gas undergoing an isobaric process, the molar heat capacity at constant pressure is C_p = 5 2 R . The heat supplied is given by dQ = nC_pdT = 5 2 nRdT . The work done by the gas during expansion is dW = pdV = nRdT . Taking the ratio of work done to heat supplied: dW dQ = nRdT 5 2 nRdT = 2 5 Differentiating with respect to time t , we get the relationship between their rates: dW dt = 2 5 dQ dt Given that the rate of heat supplied is dQ dt = 150 W : dW dt = 2 5 150 W = 60 W Answer: 60 W