NTU$-$Effectiveness Method for Heat Exchanger Performance: A shell$-$and$-$

tube heat exchanger is used to heat $5$k$($g$)/($s$)$c$\_($p$)=2100($J$)/($kg$*$K$)30\backslash$deg C to $90\backslash$deg C$.$ The heating medium is steam condensing at a constant tempera$-$

ture of $120\backslash$deg C$.$ The overall heat transfer coefficient is U$=850($W$)/($m$^(2))*$K$,$ and the heat

exchanger has a surface area of A$=12$m$^(2).$

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

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

$($c$)$ Find the heat transfer rate, Q$.$