Nitrogen $\backslash (\backslash$left$(\backslash$mathrm$\{$N$\}\_\{2\}\backslash$right$)\backslash )$ at $1$ bar, $300$ K enters a compressor operating at steady state and is compressed adiabatically to an exit state of $14\mathrm{.}5$ bar, $685$ K $.$ The $\backslash (\backslash$mathrm$\{$N$\}\_\{2\}\backslash )$ is modeled as an ideal gas and kinetic and potential energy effects are negligible.

Determine the work input, in kJ per kg of $\backslash (\backslash$mathrm$\{$N$\}\_\{2\}\backslash )$ flowing, the rate of entropy production, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash )$ per kg of $\backslash (\backslash$mathrm$\{$N$\}\_\{2\}\backslash )$ flowing, and the isentropic compressor efficiency.