Gas Refrigeration Cycle:

In this refrigeration system the working fluid is Air. The system is used for aircraft cabin cooling. The working of a gas refrigeration cycle is shown in Figures 31.6 (a) and (b).

The atmospheric air at state 1 is compressed isentropically to state 2. The compressed air is cooled at constant pressure to state 3 by exchanging heat with the surroundings. Then the air is expanded isentropically to state 4. Because of adiabatic expansion, the temperature of the gas is reduced. The cooled air takes up heat from the cabin to reach state 1. The work obtained during the expansion process can be utilized to run the compressor

The compressor work:

(31.12)

The expander work:

(31.13)

The net work required:

(31.14)

What is the work required to be supplied

(31.15)

or

(31.16)