Step $1$

$43\mathrm{.}5to\frac{n}{d}$ of process water is to be cooled from $T_1=354\mathrm{.}1K$ to $T_2=330\mathrm{.}2K$ using cooling tower water which is available at $t_1=297\mathrm{.}5K.$ You are going to use $1$inch and $1\mathrm{.}5$inch steel tubes in your design. Determine the exiting temperature of the cooling water, $t_2,$ in $K$ as accurately as possible.

Step $2$

Determine the required flow rate of cooling water in ton.d$-1$ to an accuracy of at least three decimal places.

Hints:

Use linear interpolation to obtain the heat capacities at the average temperatures of the streams.

Take care of the units.

Re$-$calculate $t_2$ as you did for step one.

Step $3_{?}$

You are using $25mm$ outside diameter, and $38mm$ outside diameter carbon steel tubes, both with wall thickness of $2mm$ in your design.

Determine the Reynold's number in the inner tube $($containing the process water$)$ to an accuracy of at least zero decimal places.