$($a$)$ The data in TABLE $1$ below relates to a specific heat exchanger. A

reliable colleague has looked up an effectiveness chart and says that

the effectiveness in the given operating conditions is $0\mathrm{.}82.$

Data:

'Hot' fluid 'Cold' fluid

Mass flowrate

kg s$10\mathrm{.}70\mathrm{.}6$

Specific heat capacity kJ kg$1$ K$11\mathrm{.}84\mathrm{.}2$

Inlet temperature $\backslash$deg C $14015$

TABLE $1$

Area of heat transfer surface $14$ m$2.$

Overall heat transfer coefficient $360$ W m$2$ K$1.$

Determine:

$($i$)$ the two outlet temperatures $($ii$)$

the heat transfer rate.

$($b$)$ Another colleague, who is not altogether reliable, has analysed theheat exchanger, referred to in Question $2($a$),$ using the correctionfactor method and he claims that the correction factor is $0\mathrm{.}595.$

Confirm whether he is correct or not.