Sunday, April 15, 2007

HW #5, P5 - Analysis of an Adiabatic Steam De-Superheater - 6 pts

As shown in the diagram, 15 kg/s of steam enters a de-superheater operating at steady-state at 30 bar and 320oC where it is mixed with liquid water at 25 bar and temperature T3 to produce saturated vapor at 20 bar. Heat transfer between the device and its surroundings and changes in kinetic and potentail energies are negligible.

a.) If T3 = 200oC, determine the mass flow rate of stream 3.
b.) Plot the mass flow rate of stream 3 in kg/s as a function of T3 as T3 ranges from 20 to 220oC.

4 comments:

Anonymous said...

how do you even begin this problem?? The valves cause deltaHhat = 0 so H4hat = H3hat. but how does this relate to the mass flow rate?

Dr. B said...

Colonel:
You are correct about the valves, they can be considered to be isenthalpic. The flow rate into and out of each valve is equal, so m1 = m2 and m3 = m4. Now, you know the Hhat for streams 2, 4 and 5. Write the 1st law and a mass balance eqn and solve the two eqns simultaneously for the two unknowns: m2 and m4.

Anonymous said...

what is the mass balance equation

Dr. B said...

Hi Anon:

The mass balance is: IN = OUT.
The specifics depend on what you consider to be your system. If you include both expansion valves in your system then the mass balance is: m1 + m3 = M5.