A piston-cylinder device contains a gas, which is heated at a rate of 0.5 kW from an external source. At a given instant the piston, which has an area of 10 cm2 moves up with a velocity of 1 cm/s.
(a) Determine the rate of change of stored energy (dE/dt) in the gas. Assume atmospheric pressure to be 101 kPa and the piston to be weightless. Also, neglect friction.
(b) What-if Scenario: How would the answer change if the piston were locked in its original position with a pin.