Serway & Jewett — The First Law of Thermodynamics: Problem 22.

In Figure P19.22, the change in internal energy of a gas that is taken from \(A\) to \(C\) along the blue path is \(+800\text{ J}\). The work done on the gas along the red path \(ABC\) is \(-500\text{ J}\). (a) How much energy must be added to the system by heat as it goes from \(A\) through \(B\) to \(C\)? (b) If the pressure at point \(A\) is five times that of point \(C\), what is the work done on the system in going from \(C\) to \(D\)? (c) What is the energy exchanged with the surroundings by heat as the gas goes from \(C\) to \(A\) along the green path? (d) If the change in internal energy in going from point \(D\) to point \(A\) is \(+500\text{ J}\), how much energy must be added to the system by heat as it goes from point \(C\) to point \(D\)?