Q$.1$ Saturated process steam at $1$ atm is condensed in a shell and tube heat exchanger $($one$-$shell, two tube side passes$).$ Cooling water enters the tubes at $15C$ with an average velocity of $3\mathrm{.}5\frac{m}{s}.$ The tubes are thin walled and made of cooper with a diameter of $14$ mm and length of $0\mathrm{.}5$ m $.$ The convective heat transfer coefficient for condensation on the outer surface of the tubes is $21,800\frac{W}{m^2}K$

a$)$ Find the number of tubes $\frac{?}{?}$ pass required to condense $2\mathrm{.}3k\frac{g}{s}$ of steam

b$)$ Find the outlet water temperature

c$)$ Using the heat transfer area found in part $($a$),$ find the water outlet temperature and steam condensation rate for water mean velocities in the range from $1$ to $5\frac{m}{s}($take an interval of $1\frac{m}{s}).5$ Assume that the shell side convection coefficient remains unchanged.

$\backslash$table$[[$Fluid$,Cp(\frac{J}{k}gK),(N.\frac{s}{m^2}),k(\frac{W}{m}.K),(k\frac{g}{m^3})$