Problem $04\mathrm{.}136-$ Steam in a piston$-$cylinder device with stops

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A piston$-$cylinder device initially contains $0\mathrm{.}60$ kg of steam at $3\mathrm{.}5$ MPa, superheated by $7\mathrm{.}4$C$.$ Now the steam loses heat to the surroundings and the piston moves down, hitting a set of stops at which point the cylinder contains saturated liquid water. The cooling continues until the cylinder contains water at $200$C$.$

The piston is above the stopper. The cylinder has Steam at a pressure of $3\mathrm{.}5$ megapascals. Heat Q flows out of the cylinder.

Problem $04\mathrm{.}136.$a $-$ Find final temperature and quality

Determine the final pressure and the quality $($if mixture$).$

The final pressure is kPa.

The quality of the mixture is $.$ Problem $04\mathrm{.}136.$b $-$ Find boundary work

Determine the boundary work $($Wb$,$out$).($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$

The boundary work is kJ$.$ Problem $04\mathrm{.}136.$c $-$ Find heat transfer

Determine the amount of heat transfer when the piston first hits the stops $($Qin$,12).($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$

The amount of heat transfer when the piston first hits the stops is kJ$.$ Problem $04\mathrm{.}136.$d $-$ Find heat transfer

Determine the total heat transfer $($Qin$,13).($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$

The total heat transfer is kJ$.$