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## Q. 2.17

An air cycle is completed by two processes as follows :

(i) Compression process : 240 kJ of work is done on air while 100 kJ of heat is rejected to the surroundings.

(ii) Expansion process : air does 320 kJ of work. Calculate the quantity of heat added to the cycle.

## Verified Solution

The cycle is shown in Fig. 2.30.

Compression process 1 – 2 :
From first law of thermodynamics, we have

\begin{aligned}U_2-U_1 &=Q_{1-2}-W_{1-2} \\&=-100-(-240)=140 \ kJ\end{aligned}

Expansion process 2 – 1 :

\begin{aligned}Q_{1-2} &=\left(U_1-U_2\right)+W_{1-2} \\&=-140+320=180 \ kJ\end{aligned}