$1.$ For a Fe$-$C alloy with $\backslash (\backslash$mathbf$\{0.5\}\backslash$mathbf$\{$w t$\}\backslash \%\backslash )$ carbon at $\backslash (\backslash$mathbf$\{726\}\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$; Determine the amount of carbon in

i$)$ the proeutectoid phase

ii$)$ the pearlitic phase

iii$)$ the ferrite phase of pearlitic phase

iv$)$ the overall mixture

v$)$ in the overall ferrite phases