PLEASE SHOW YOUR WORK, DO NOT USE CHAT GPT$.$ AI GENERATED ANSWERS WILL BE DOWNVOTED. Decide whether a $1$ shell $2$ tube pass heat exchanger will be suitable, and then calculate the heat transfer area required for the heat exchanger, based on an overall heat transfer coefficient of $650\frac{W}{m^2}.K.$

A process stream, with an inlet temperature of $110C$ is to be cooled to $488C.$ The process stream has a flowrate of $33000k\frac{g}{h}.$ Cooling water is available at $25C$ for cooling purposes. The cooling water outlet temperature should not exceed $36C.$

The physical properties of the process and cooling water stream are as follows:

$\backslash$table$[[,$Process stream,Cooling water$],[$Density $($kg$*$m$^(-3)),732,992],[$Heat capacity $($J$*$kg$^(-1)*$K$^(-1)),3320,4190],[$Viscosity $($N$*$s$*$m$^(-2)),3\mathrm{.}7\backslash$times $10^(-4),8\mathrm{.}0\backslash$times $10^(-4)],[$Thermal conductivity $($W$*$m$^(-1)*$K$^(-1)),0\mathrm{.}136,0\mathrm{.}613],[$Fouling coefficient $($W$*$m$^(-2)*$K$^(-1)),6000,3000],[$Allowable prossure drop $($kPa$),60,60]]$

Tubes $(k=45(W)*m^{-1}*K^{-1})$ with an outside diameter $($OD$)=19\mathrm{.}05mm,$ wall thickness of $2mm$ and length $=4\mathrm{.}88m,$ are available. A triangular pitch of $1\mathrm{.}25OD$ has been