Parallel flow heat exchangers

Cold water at a mass flow of $2\mathrm{.}73k\frac{g}{s}$ is to be heated by a hot process fluid from $10C.$ The process

fluid is supplied at $80C$ and a mass flow of $4\mathrm{.}5k\frac{g}{s},$ and it has a heat capacity of $2000\frac{J}{k}g.$ K $.$ The hot$-$

side outlet temperature is $41C.$ For the cold$-$side, use the properties of water at the inlet temperature

; see attached table$).$

$($a$)$ Determine the cold$-$side water outlet temperature.

Determine the overall heat transfer coefficient $($UA$)$ required in both of the following cases, using the

log$-$mean temperature difference $($LMTD$)$ method:

$27$ kW$/$K

$($b$)$ co$-$flow in a parallel$-$tube heat exchanger

$10k\frac{W}{K}$

$($c$)$ counterflow in a parallel$-$tube heat exchanger