Question $4.10,000k\frac{g}{h}r$ of $35\frac{A}{P}$I light oil stream at $170C$ will be used to heat $45,000k\frac{g}{h}r$ of naphta from $97C$ to $110C.$ The available data on physical properties of the streams:

$35$ API light oil: $Cp=2\mathrm{.}42k\frac{J}{k}g*K,k=135{10}^{-3}\frac{W}{m}.K,$ at $38C=5cP,$ at $99C=2\mathrm{.}3cP.$

Naphta: $Cp=2\mathrm{.}34k\frac{J}{k}g*K,k=175{10}^{-3}\frac{W}{m}.K,$ at $38C=1\mathrm{.}3cP,$ at $99C=0\mathrm{.}54cP.$

A combined dirt factor of $1{10}^{-3}{m}^2.\frac{K}{W}$ is allowed. The exchanger available for the service has the following specifications:

Shell side $($hot fluid$)$

Tube side $($cold fluid$)$

ID: $17\frac{1}{4}$ in

Baffle space: $3\mathrm{.}5$ in

Passes: $1$

Number and length: $166,16ft$ OD$,$ BWG$,$ pitch: $\frac{3}{4}$ in$,16BWG,1$ in square

Passes: $2$

The allowed pressure drop for both tube and shell side is $0\mathrm{.}7$atm. Find if the available heat exchanger is suitable for the service.