Answer
2.0 mJ
Work Step by Step
We first find the final volume. Using the given equation in the problem that relates V and P, we find:
$V_f=8.67 \ L$
Thus, converting 1 atm to $101.3\times10^3 \ Pa$. we find:
$W = -2 \int_{17}^{8.67}(101.3\times10^3)(\sqrt{\frac{17}{V}})dV$
$W \approx 2 \ mJ$