Problem: Acetone at a flow rate of $20k\frac{g}{s}$ is to be heated from a temperature of $10C$ to a temperature of $30C$ with Therminol$-60,$ which is available at $100C$ with a flow rate of $25k\frac{g}{s}.$ A designer recommended using a shell$-$and$-$tube heat exchanger for this application. Select a suitable shell size for a shell$-$and$-$tube heat exchanger for this service and calculate

$($a$)$ the shell$-$side heat transfer coefficient;

$($b$)$ the tube side heat transfer coefficient.

The standard length of the copper tubes available is $2m.$ Take the maximum possible baffle spacing for your design