A two$-$stage compression machine with a flash intercooler is to produce $25$ ton of

refrigeration while working between $30$C and $42$C$.$ The pressure in the flash

Intercooler is the geometric mean of the upper and lower pressure limits$.$ Sketch

the system $($flow diagram and cycle on the p$-$h diagram giving relevant property

values. The enthalpy at the end of LP compressor is $195$ kJ$/$kg and that of H$.$P$.$

compressor $211\mathrm{.}1$ kJ$/$kg$.$ The working medium is R$-12.$ Find $($a$)$ COP, $($b$)$ power,

$($c$)$ fluid flows through LP and HP compressors and $($d$)$ volume handled by LP

compressor.