Consider $0\mathrm{.}11kg$ of an ideal gas mixture that is expanded from $\frac{5}{b}ar,1500K$ to $\frac{1}{b}ar,1100K.$ The gas mixture

has a composition on a molar basis of $22\%C{O}_2,3\%CO$ and $75\%N_2.$ During this expansion process, there is a

heat transfer out of $9kJ$ across the boundary at a boundary temperature $T_b=900K.$

Determine:

$($a$)$ the magnitude of the work of the expansion process, in $kJ.$

$($b$)$ the amount of entropy produced, in $k\frac{J}{K}.$

$($c$)$ If the heat transfer out is reduced $($i$.$e$,$ better insulated$),$ what would be the change in the work and the

entropy production through the process.