Problem $2(30$ pt$)$

Air contained in a closed system, initially at $2$ bar and $400$ K $,$ undergoes an expansion to a final

temperature of $298$ K and final volume of $2m^3,$ during which the pressure$-$volume relationship

is $p{V}^{1\mathrm{.}5}=$ constant. Assuming the ideal gas model for air, determine

The initial volume, in $\frac{m^3}{k}g.$

The final pressure, in bar.

The mass of air, in kg $.$