Problem $3(15$ points$)-$ Material Science and Entropy Generation.

Quenching in materials science and metallurgy is the rapid cooling of a workpiece to obtain desired material properties during manufacturing in which the reaction is both thermodynamically favorable and kinetically accessible on the phase diagram. Consider the quenching of a high$-$speedsteel machine part that has a mass of $3$ kg $,$ is initially at $900\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and is quenched in a $15$ kg water bath initially at $\backslash (10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The specific heat of high$-$speed$-$steel is $\backslash (\backslash$mathrm$\{$C$\}\_\{\backslash$mathrm$\{$s$\}\}=0\mathrm{.}54\backslash$mathrm$\{$~kJ$\}/(\backslash$mathrm$\{$kg$\}-\backslash$mathrm$\{$K$\})\backslash )$ and for water $\backslash (\backslash$mathrm$\{$C$\}\_\{\backslash$mathrm$\{$w$\}\}=4\mathrm{.}2\backslash$mathrm$\{$~kJ$\}/(\backslash$mathrm$\{$kg$\}-\backslash$mathrm$\{$K$\})\backslash ).$ Heat loss out of the steel$/$water system is negligible. Determine

$($a$)$ The temperature of the system at maximum entropy, in $\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

$($b$)$ The entropy generated during the quenching process, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash ).$

$($c$)$ The heat transfer from the steel to the water, in kJ $.$

Please part C$,$ A and B I answered already