Answer
$W=-374J$
Work Step by Step
From the first law of thermodynamics;
$W=Q-\Delta E_{int}$
As $\Delta E_{int}=nCV \Delta T$
so $W=Q-nCV \Delta T$
As $Q=0$;
$W=0-nCV \Delta T=-nCV \Delta T$
We know that $C_V=\frac{3}{2}R$.
Therefore, $W=-n(\frac{3}{2}R) \Delta T$
We plug in the known values to obtain:
$W=-2.0(\frac{3}{2})(8.31)(15.0)=-374J$
