When $27\mathrm{.}1$ J was added as heat to a particular ideal gas, the volume of the gas changed from $38\mathrm{.}6c{m}^3$ to $74\mathrm{.}7c{m}^3$ while the pressure remained constant at $0\mathrm{.}835$ atm. $($a$)$ By how much did the internal energy of the gas change? If the quantity of gas present is $3\mathrm{.}88{10}^{-3}$ mol $,$ find the molar specific heat of the gas at $($b$)$ constant pressure and $($c$)$ constant volume.

$($a$)$ Number $$ Units

$($b$)$ Number $$ Units $$

$($c$)$ Number $$ Units $$