Answer
$\Delta S = 23.0 J/K$
Work Step by Step
Change in entropy is give by
$\Delta S = R ln (\frac{V_2}{V_1}) + C_V ln (\frac{T_2}{T_1})$
$\Delta S = R ln (\frac{2.00V_1}{V_1}) + \frac{3}{2}R ln (\frac{4.00T_1}{T_1})$
$\Delta S = R ln (2.00) + \frac{3}{2}R ln (2.00)^2$
$\Delta S = R ln (2.00) + 3R ln (2.00)$
$\Delta S = 4R ln (2.00)$
Where$ R = 8.31 j/K $ for universal gas constant.
$\Delta S = 23.0 J/K$
