You$$ve been given a task of evaluating the performance of a compressor. Air is compressed from a temperature of $15\mathrm{.}0$ oC and local atmospheric pressure to a final temperature of $326$ oC and final pressure of $409$ kPa gauge. The mass flow rate of the air is $6\mathrm{.}83$ kg$/$s and it remains constant. Assume the air has constant specific heat capacity Cp of $1\mathrm{.}065$ kJ$/$kg$.$K$,$ and Cv of $0\mathrm{.}730$ kJ$/$kg$.$K$.$ The compressor is not very well insulated and $3\mathrm{.}1$kW of heat is lost through the compressor housing at a boundary temperature of $85$oC$.$Assume negligible changes in kinetic and potential energy of the air. The local atmospheric pressure is $100\mathrm{.}88$ kPa. Now estimate the rate of entropy generation $($kW$/$K$)$ while the air is compressed. $($Answer must be in $2$ decimals$)$