Question $1$:

a$)$ Consider an ideal gas that occupies $2\mathrm{.}25L$ at $1\mathrm{.}33$ bar. Calculate the work required to

compress the gas isothermelly to a volume of $1\mathrm{.}5L$ at a constant pressure of $2\mathrm{.}0$ bar

followed by another isothermal compression to $0\mathrm{.}8L$ at a constant pressure of $2\mathrm{.}5$ bar.

b$)$ What is the work for compressing the gas isothermally and reversibly from $2\mathrm{.}25L$ to $0\mathrm{.}8L?$