$(2\mathrm{.}89$ Moran $8^{th}$ edition$)$ A refrigeration cycle operating as shown in Fig. $2\mathrm{.}17$b has a coefficient of performance, $=1\mathrm{.}8.$ For the cycle, $Q_{\text{o}\text{u}\text{t}}=250kJ.$ Determine in kJ :

a$)Q_{in}$

b$)W_{\text{c}\text{y}\text{c}\text{l}\text{e}}$

Answers: a$)161$ kJ ; b$)89$ kJ