During the power stroke in a four-stroke automobile engine, the piston is forced down as the mixture of combustion products and air undergoes an adiabatic expansion. Suppose that the following is true.
(1) the engine is running at 2400 cycles/min;
(2) the gauge pressure right before the expansion is 20.0 atm;
(3) the volumes of the mixture right before and after the expansion are 50.0 and 400 cm3, correspondingly;
(4) the time involved in the expansion is one-fourth that of the total cycle; and
(5) the mixture behaves like an ideal gas with specific heat ratio 1.40. Evaluate the average power generated during the expansion.