$($a$)$ Oil $(C_p=1920(J)k{g}^{-1}{K}^{-1})$ at an initial temperature of $180C$ flows through a double

pipe parallel flow heat exchanger with a rate of $330kg{h}^{-1}$ to heat water

$,$ density $=998kg{m}^{-3})$ flowing at $3d{m}^{3}mi{n}^{-1}$ from $5C$ to

$50C.$

$($i$)$ What is the temperature of the oil at the outlet?

$[2$ marks$]$

$($ii$)$ What is the heat transfer area required for an overall heat transfer

coefficient of $\{$:$0\mathrm{.}4(kW)m^{-2}{K}^{-1})?$

$[5$ marks$]$

$($iii$)$ Determine the number of transfer units $($NTU$).$

$[2$ marks$]$

$($iv$)$ Calculate the effectiveness of the heat exchanger.