A $10$ liter container initially contains air at $400K$ and $3$ atmospheres pressure. The polytropic coefficient of air is $=1\mathrm{.}41.$

Calculate the final temperature if the air is compressed adiabatically to $5$ atmospheres.

Adiabatic process means $P{V}^{}=$ constant.

Calculate the final temperature if the air is adiabatically expanded to $1$ atmosphere.