Answer
$\frac{Q}{p_1V_1} = -0.693$
Work Step by Step
Step 1 : Isothermal expansion to pressure $2.00p_1$
Since $ln(\frac{1}{2.00}) = -ln(2.00)$, this leads to
$Q = -p_1V_1ln(2.00)$
$\frac{Q}{p_1V_1} = -ln(2.00)$
$\frac{Q}{p_1V_1} = -0.693$