Current Attempt in Progress

An ideal gas within a piston$-$cylinder assembly executes a Carnot power cycle. as shown in the figure below. The isothermal compression occurs at $300$ K from $90$ kPa to $120$ kPa $.$

If the thermal efficiency is $30\%,$ determine:

$($a$)$ the temperature of the isothermal expansion, in K$,$ and

$($b$)$ the net work developed, in kJ per kmol of gas.