$3\mathrm{.}131($Moran $8^{th}$ edition$)$ Two kg of air, initially at $5$ bar,

$350$ K and $4$ kg of carbon monoxide $($CO$)$ initially at $2$ bar,

$450$ K are confined to opposite sides of a rigid, well$-$

insulated container by a partition, as shown in the figure.

The partition is free to move and allows conduction from

one gas to the other without energy storage in the partition

itself. The air and CO each behave as ideal gases with

constant specific heats of $c_{v,CO}=0\mathrm{.}751k\frac{J}{k}g-K$;

$c_{v,\text{a}\text{i}\text{r}}=0\mathrm{.}727k\frac{J}{k}g-K.$ Determine at equilibrium:

a$)$ The temperature $($K$)$

b$)$ The pressure $($bar$)$

c$)$ Volume occupied by each gas $(m^3)$