Example $5\mathrm{.}6$

Air at $105$kPa and $16C$ is compressed adiabatically from a volume of $0\mathrm{.}035m^3$ to $0\mathrm{.}0082m^3.$ If for air, $R=294\frac{J}{k}g*K$ and $=1\mathrm{.}41,$ determine:

$($a$)$ the mass of the air;

$($b$)$ the final temperature of the air.

Answers: $(a)=0\mathrm{.}0433kg$;$b=251C$