Problem $2)$ An ideal diatomic gas expands adiabatically from $0\mathrm{.}750$ m$3$ to $1\mathrm{.}50$ m$3.$ The initial temperature of the

gas is $325$ K and the initial pressure is $1\mathrm{.}50$ x $105$ Pa$.$

a$)$ What is the final pressure of the gas?

b$)$ What is the final temperature of the gas?

c$)$ What is the work done on the gas?

$($cp $=7/2$ R$,$ cv $=5/2$ R for a diatomic ideal gas$)$