A system is capable of executing a cyclic process as indicated in the pV sketch; it may be executed either clockwise abca or counterclockwise adea. $($a$)$ When going clockwise to state $c,80kJ$ of heat flow to the system and $35$ kJ of work are done by it$.$ Returning to state a from $c_{,}60kJ$ of heat flow from the system. Find the work along the path ca$.($b$)$ When going counter clockwise to state c$,70$kJ of heat flow to the system. Find the work during the process adc.