PLEASE SHOW WORK AND EXPLAIN HOW TO FIND ANSWER

$(5$ points$)$ A steam generator comprises three heat exchangers in series: an economizer, a boiler, and a superheater. Water flows isobarically at $2000$ psia inside metal tubes inside and in between these heat exchangers, while hot exhaust gases from combustion flow across the tube exteriors. Thus, heat transfer by convection occurs between the exhaust gases and the outer walls of the tubes. heat transfer by conduction occurs within the tube walls, and heat transfer by convection occurs between the inner walls of the tubes and the water inside the tubes. Changes in water velocity and elevation within the tubes are negligible.

Water enters the economizer at $100F$ and exits as saturated liquid. The water then enters the boiler as saturated liquid and exits as saturated vapor. Finally, the water enters the superheater as saturated vapor and exits at $1100F.$ The mass flow rate of water through the steam generator is $8{10}^{4}Ib\frac{m}{m}in.$

Determine the following. Round your answers to three significant figures.

a$.q,636F$

Temperature of the water as it flows through the boiler

$636\mathrm{.}00$

$($or $2\mathrm{.}90)$

b$.2\mathrm{.}87{10}^{9}Bt\frac{u}{h}$ Rate of heat transfer into water as it flows through the economize $2,87328$

$2,89848$

c$.2,23{10}^{9}Bt\frac{u}{h}$

Rate of heat transfer into water as it flows through the boiler

$2\mathrm{.}22912$

d$.1\mathrm{.}9210$ Btu$/$h

Rate of heat transfer into water as it flows through the superheater $1,92432$

$($or $7\mathrm{.}05)$

e$.7\mathrm{.}03{10}^{9}Bt\frac{u}{h}$