P$4\mathrm{.}12$ Ethylene gas is to be continuously compressed in an adiabatic compressor from an initial state

of $\frac{1}{b}ar$ and $20C$ to a final pressure of $\frac{18}{b}ar.$ If compression is $70\%$ efficient compared with an isentropic process, what will be the work requirement and what will be the final temperature of the ethylene? Assume the ethylene behaves as an ideal gas with $C_p=44\frac{J}{m}ol-K.($ANS$.13\mathrm{.}4k\frac{J}{m}ol,596$ K$)$