QUESTION $3$

A shell$-$and$-$tube heat exchanger with $2-$shell passes and $8-$tube passes is used to heat ethyl alcohol $(Cp=2\mathrm{.}67k\frac{J}{k}gK)$ in the tubes from $25C$ to $65C$ at a rate of $1\mathrm{.}8k\frac{g}{s}.$ The heating is to be done by water $(\{$:$Cp=4\mathrm{.}19k4,\frac{J}{k}gK)$

that enters the shell at $95C$ and leaves at $75C.$ If the overall heat transfer coefficient is $0\mathrm{.}62k\frac{W}{m^2}K,$ determine the heat transfer surface area of the heat exchanger in $m^2$ using the $-$NTU method. Write your answers in two

decimal figures.