Heating a gas at a steady volume and at a steady pressure

$1.2\ \text{mol}$ of helium and $1.2\ \text{mol}$ of nitrogen are each warmed by $45\ \text{K}$, once in a rigid tank and once under a free piston. You will make the program find the heat each needs both ways, and show that the extra heat at a steady pressure is the work the gas does.

The idea. $C_v = \tfrac{f}{2}R$ and $C_p = C_v + R$, with $f = 3$ for helium and $f = 5$ for nitrogen. The heat is $Q = nC\,\Delta T$.

Your tasks.

1. Work out Cv for both gases from f.
2. Work out the heat at a steady volume, Qv, and at a steady pressure, Qp, for both.
3. Work out the extra heat at a steady pressure, extra.