PHYS PROPS, ENERGY BALANCE $[15$ MARKS$]$

Toluene is used as a solvent in many processes. A feed stream at $130$kPa $($abs$),140C$ contains $70$mol$\%$ toluene in nitrogen. In order to recover toluene as a liquid, the stream is cooled isobarically to $25C.$

a$)$ What phase is the feed stream $($Gas$,$ Liquid, or mix of both$)?$ Justify your answer with calculation or sound logic and data.

$[3$ MARKS$]$

b$)$ Sketch the process showing key streams and energy flow$($s$).[2$ MARKS$]$

c$)$ Stating key assumptions and by showing appropriate steps, calculate the composition of the vapour and liquid streams.

$[5$ MARKS$]$

d$)$ How much energy $($in kJ$)$ must be removed per mol of feed stream?

$[5$ MARKS$]$

Data:

$\backslash$table$[[$Raoult$\text{'}$s law: y$\_($i$)$P$=$x$\_($i$)$P$\_($i$)^(**),$Henry's law: y$\_($i$)$P$=$x$\_($i$)$H$\_($i$)],[$Antoine$\text{'}$s equation: log$\_(10)($P$^(**))=6\mathrm{.}083-(1347)/($T$+219\mathrm{.}7)$;P$^(**)$ in kPa,T in $\backslash$deg C$],[$Henry constant of N$\_(2)$ in Toluene $=\backslash$oo $],[$T$\_($b$)$ Toluene $(101\mathrm{.}3$kPa$)=110\backslash$deg C$,$C$\_($p$),$ Nitrogen, gas $=29$J$/$molK$],[$C$\_($p$)$ Toluene, vap $=94+0\mathrm{.}4$TJ$/$molK$($T:$\}$ in $\{$:$\backslash$deg C$),$C$\_($p$)$ Toluene, liq $=148\mathrm{.}8+0\mathrm{.}3$TJ$/$molK$($T:$\}$ in $\{$:$\backslash$deg C$)],[\backslash$Delta H$\_($y$)$ Toluene $(140\backslash$deg C$)=32\mathrm{.}0$kJ$/$mol$,\backslash$Delta H$\_($y$)$ Toluene, $(25\backslash$deg C$)=38$kJ$/$mol$]]$