Answer
.94 Joules
Work Step by Step
We simplify the ideal gas law as well as the equation $p_1V_1=p_2V_2$ to find:
$W = nRTln(\frac{V_2}{V_1})=\frac{4}{3}\pi r^3p\ ln(3.5)$
$W ==\frac{4}{3}\pi (.008)^3(350)\ ln(3.5)=9.4\times10^{-4}kJ=.94\ J$