During an isothermal process, $0\mathrm{.}535$ mol of an ideal gas expands to a final volume of $7\mathrm{.}00$ L and a pressure of $2\mathrm{.}03105$ Pa while doing $2\mathrm{.}20$ kJ of work on its surroundings.

$($a$)$ What is the initial volume of the gas?

m$3$

$($b$)$ What is the temperature of the gas?

K