Consider a heat engine consisting of two cylinders. Fuel is burned externally to warm one of the two cylinders, and n moles of an ideal monatomic gas (with molar heat capacity at constant volume...

Obtain the heat transfer to the engine Qh, the work done by the engine W, and the efficiency e.

Extracted text: Consider a heat engine consisting of two cylinders. Fuel is burned externally to warm one of the two cylinders, and n moles of an ideal monatomic gas (with molar heat capacity at constant volume Cy=3R/2) moves cyclically between the cylinders, expanding in the hot cylinder at temperature T2 and contracting in the cold cylinder at temperature T1. In a cycle of operation, the gas goes through the following sequence of steps: (i) Step ab: Isochoric heat transfer into the gas, making it change state from a at temperature T1 to b at temperature T,. (ii) Step bc: Isothermal expansion at temperature T, from state b with volume V to state c with volume rV, where r is a constant greater than unity. (iii) Step cd: Isochoric heat removal in going from state c at temperature T2 to state d at temperature T1. (iv) Step da: Isothermal compression at temperature Ti from state d with volume rV to state a with volume V. For this cycle, obtain the heat transfer to the engine Qh, the work done by the engine W, and the efficiency e.