$4($c$)\_\backslash$#$1$: In a piston$-$cylinder assembly $2$ kg of air is compressed isentropically from $\backslash (1\backslash$mathrm$\{$bar$\},22^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ until the volume is $\backslash (5\backslash \%\backslash )$ of the original volume. Determine the temperature, in $\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ at the end of the process and the work, kJ $,$ during the process.

a$)$ Using data from Table A$-22$ only

b$)$ Rework the problem without any information from the solution in part $($a$)$ and assuming constant specific heat, using only Table A$-20.(-939\mathrm{.}41$ kJ $($in$))$

c$)$ Which answer is more appropriate? Explain why.