Table Q$1$ Streams temperatures and thermal capacity.

$($i$)$ Using the Pinch methodology and minimum temperature difference of $20K,$

determine the minimum external heating and cooling demands and the Pinch

temperature. $[120$kW$,580kW,400C,380C]$

$($ii$)$ An Engineer proposed the following heat recovery system, determine the heat

transfer capacity of the external heater $(H),$ the external coolers and $C2$ and

the three heat exchangers HE$1,$ HE$2$ and HE$3$ ensuring the design follows the

Pinch rules. $[120$kW$,190$kW$,390$kW$,150$kW$,200$kW$,810$kW$]$

Above the pinch

Figure Q$1$ Proposed Design.