(Solved): 11.31 A feedwater heater that supplies a boiler consists of a shell-and-tube heat exchanger with on ...

11.31 A feedwater heater that supplies a boiler consists of a shell-and-tube heat exchanger with one shell pass and two tube passes. One hundred thin-walled tubes each have a diameter of $20\mathrm{mm}$ and a length (per pass) of $2\mathrm{m}$. Under normal operating conditions water enters the tubes at $10\mathrm{kg}/\mathrm{s}$ and $290\mathrm{K}$ and is heated by condensing saturated steam at 1 atm on the outer surface of the tubes. The convection coefficient of the saturated steam is $10,000\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$. (a) Determine the water outlet temperature.