Answer
$\frac{\Delta E_{int}}{ p_1V_1 } = 4.5$
Work Step by Step
$\Delta E_{int} = Q_{total} - W_{total}$
$\Delta E_{int} = (\frac{15}{2}p_1V_1 - p_1V_1ln2.00) - (3p_1V_1 - p_1V_1 ln 2.00)$
$\Delta E_{int} = \frac{9}{2} p_1V_1 $
$\frac{\Delta E_{int}}{ p_1V_1 } = \frac{9}{2}$
$\frac{\Delta E_{int}}{ p_1V_1 } = 4.5$