Problem $7\mathrm{.}46$

A rigid tank contains $5$ kg of saturated vapor steam at $\backslash (100^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The steam is cooled to the ambient temperature of $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

$($a$)$ Sketch the process with respect to the saturation lines on a $\backslash ($ T$-$v $\backslash )$ diagram.

$($b$)$ Determine the entropy change of the steam, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash ).$

$($c$)$ For the steam and its surroundings, determine the total entropy change associated with this process, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash ).$