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

A piston$-$cylinder device initially contains $0\mathrm{.}60$ kg of steam at $3\mathrm{.}5$ MPa $,$ superheated by $\backslash (7\mathrm{.}4^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ 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 $\backslash (200^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

Problem $04\mathrm{.}136.$b $-$ Find boundary work

Determine the boundary work $(\backslash ($ W$\_\{$b$,$ o u t$\}\backslash )).($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$ The boundary work is $\backslash (\backslash$quad $\backslash$mathrm$\{$kJ$\}\backslash ).$