Air is compressed from an initial state of 1 bar and 298.15 K to a final state of 3 bar and 298.15 K by mechanically reversible processes in a closed system:

(a) Heating at constant volume followed by cooling at constant pressure.

 

We assume air to be in its ideal-gas state, and assume constant heat capacities, C_V^ig = 20.785 and C_P^ig = 29.100 Jmol¹K¹. Calculate the work required, heat transferred, and the changes in internal energy and enthalpy of the air for each process. (V₁^ig = 0.025 m³, V₂^ig = 0.0083 m³)