A solvent stream with a mass flow rate of $42k\frac{g}{s}$ is heated from $25C$ to $55C$ by using hot water in a $2$:$4$ counter current shell and tube heat exchanger. The hot water flows through thin$-$walled of tubes with $25\mathrm{.}4mm$ diameter and $6\mathrm{.}1m$ length. The number of tubes per pass are $238.$ The water enters into tubes at $75C$ and leaves at $35C.$ It is known that the shell side heat transfer coefficient is $2300\frac{W}{m^{2\text{@}}C}.$ Some additional data are given below. By using the given data calculate the heat transfer area.

$\backslash$table$[[{}_{\text{w}\text{a}\text{t}\text{e}\text{r}}$:$986k\frac{g}{m^3},C_{\text{P}\text{w}\text{a}\text{t}\text{e}\text{r}}$:$4\mathrm{.}18k\frac{J}{k}gK$