explain and show all work please and write clearly answer all parts also all previous answers are wrong so don't use them or I will give you a thumbs down and report you

A mixture of methanol and water is sent to a flash distillation drum operating at $1\mathrm{.}0$atm. Feed rate is $10\mathrm{.}0$kmo$\frac{l}{h}.$ The feed before the valve is at $102\mathrm{.}0C$ and a pressure of $\frac{5\mathrm{.}0}{b}ar.$ Equilibrium data are listed in Table $1.$

a$.$ Feed is $40\mathrm{.}0$mol$\%$ methanol and $\frac{V}{F}=0\mathrm{.}60.$ Find $x,y,$ and $T_{\text{d}\text{r}\text{u}\text{m}}.$

b$.$ Feed is $40\mathrm{.}0$mol$\%$ methanol and $T=78\mathrm{.}0C.$ Find $y,x,V,$ and $L.$

c$.\frac{V}{F}=0\mathrm{.}300.$ Vapor product is $80\mathrm{.}0$mol$\%$ methanol. Find $x,V,L,$ and $z.$

Table $1.$ Vapor$-$liquid equilibrium data for methanol water $)=(1$atm

$\backslash$table$[[$Methanol in Liquid,Methanol in Vapor,Temp., $C$