Acylinder, closed by a piston, has a volume of 0.03m and contains air at 1 bar and 15°c. the air is compressed isentropically to one quarter of its original volume. it is then cooled in a reversible constant pressure process until the temperature falls to its initial value. finally, the air is expanded isentropically back to 1 bar. find the final temperature and the net work done during the sequence of processes.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.