An ideal-gas cycle suggested by A. S. Arrott of British Columbia, Canada, is shown in given Figure, where there are shown on a PV two isothermal curves intersected by an adiabatic curve, referring to 1mol of an ideal monatomic gas. A process takes the gas from the upper intersection point A and expands it isothermally at 600 K to a very special state B. The gas is then put in contact with a low-temperature reservoir at

300K so that it cools isochorically to state C. Then, there is a further isothermal expansion from C to the lower intersection point D. The remainder of the zilch cycle is accomplished by an adiabatic compression from D back to A. The isochoric process BC is chosen to satisfy the condition that the net work in the cycle is zero.
(a) Calculate the work W_DA.

(b) Calculate the heat Q_BC.

(c) Calculate the net entropy change of the gas (not the reservoirs) and obtain the relationship

(Q_AB/600K) + (Q_CD/300K) = (8.64)(J/K).

(d) Calculate the work W_AB.

(e) Calculate the work W_CD.

(I) Calculate the net entropy change of the reservoirs.

(g) Draw the TS diagram.