During an isothermal process, $0\mathrm{.}445$ mol of an ideal gas expands to a final volume of $7\mathrm{.}75$ L and a pressure of $2\mathrm{.}03105$ Pa while doing $2\mathrm{.}30$ kJ of work on its surroundings.

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

m$3$