Heat is supplied to an ideal diatomic gas at a constant rate of 350 W . If the gas is allowed to expand isobarically, the rate at which the gas performs work on its surroundings is:

Step-by-step solution

For an isobaric (constant pressure) process, the heat supplied and work done are given by: dQ = nC_ p dT dW = nRdT Taking the ratio of the rate of work done to the rate of heat supplied: dW dQ = nRdT nC_ p dT = R C_ p For an ideal diatomic gas, the molar heat capacity at constant pressure is C_ p = 7 2 R . Therefore, the ratio becomes: dW dQ = R 7 2 R = 2 7 Given that the rate of heat supplied is dQ dt = 350 W , the rate of work done is: dW dt = 2 7 350 W = 100 W Answer: 100 W