PLEASE SHOW WORK AND EXPLAIN HOW TO FIND ANSWER

$(10$ points$)$ A feedwater heater is a rigid tank that has two inlets and one outlet. Steam enters one of the inlets at a pressure of $60$ psia and a temperature of $400F.$ Feedwater enters the other inlet at a pressure of $60$ psia and a temperature of $130F.$ The mass flow rate of feedwater into the heater is $3,000,000lb\frac{m}{h}.$

The two inlet streams mix inside the heater, causing the steam to condense and cool and causing the feedwater temperature to rise. Saturated liquid water at a pressure of $60$ psia exits through the single outlet. The inner diameter of the outlet pipe is $24$ in$.$

Heat transfer from the heater to the surroundings is negligible. The kinetic energies and potential energies at the inlets and at the outlet are all negligible. The heater is in steady$-$state operation.

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

a$.$ Circle one: Saturated vapor

Superheated vapor

Phase of the steam entering the heater

b$.$ Circle one: Saturated liquid

Compressed liquid

Phase of the feedwater entering the heater

c$.$ Btu$/$lbm Specific enthalpy of the steam entering the heater $1233\mathrm{.}5$

d$.Bt\frac{u}{l}bm$

Specific enthalpy of the feedwater entering the heater $97\mathrm{.}98$

e$.B+\frac{u}{1}{b}_m$

f$.F$

g$.lb\frac{b}{h}$

h$.$ Btu$/$h

Temperature of the water exiting the heater $292,73$

Specific enthalpy of the water exiting the heater $262,2$

Mass flow rate of the steam entering the heater $507,217\mathrm{.}1317$

i$.lb\frac{m}{f}{t}^3$

Density of the water exiting the heater $57\mathrm{.}53739931$

Rate of heat transfer into the feedwater $492,660,000$

$q,$

j$.\frac{t}{s}$

Speed of the water exiting the heater

$5\mathrm{.}389643$