Wednesday, April 11, 2007

HW #4, P6 - Isobaric Expansion of R-134a - 6 pts

A piston-and-cylinder device with a set of stops contains 10 kg of R-134a. Initially, 8.0 kg of the refrigerant is in the liquid phase and the temperature is -8.0oC. Now, heat is transferred slowly into the refrigerant until the piston hits the stops. At this point, the volume is 400 L. Determine:



a.) The temperature of the R-134a when the piston reaches the stops.
b.) The boundary work done during this expansion process.
c.) The heat transfer during this expansion process.
d.) Show this process on a PV Diagram.

13 comments:

Anonymous said...

I calculated the temp. and boundary work but I can't figure out how to calculate Q12. In class you gave the equation as Q=m(delta)H, but what values do we use to look up H at stages 1 and 2?

Dr. B said...

Anon:
At stage 1 you know T = Tsat and you know Mliq and Mvap so you can calculate the quality and then H1.
At state 2, you know T and you can calculate Vhat2. These two will let you calculate H2. Then you can apply the 1st Law to the process to determine Q because Wb.

Anonymous said...

how is the initial volume calculated?

Dr. B said...

Anon:
Use the mass and the specific volume of each phase.

Anonymous said...

how do i go about calculating the temperature?

Dr. B said...

y:
Compare the specific volume to Vhat sat liquid and sat vapor. You will discover it lies between. This lets you conclude that T2 = Tsat.

Anonymous said...

I didn't really understand that last explanation on how to get the temperature... can you re-explain that?

Anonymous said...

Never mind on that last question...I understand now...thanks

Anonymous said...

how do we plot the PV diagram if the process is isothermal and isobaric at the same time?

Anonymous said...

I'm not seeing how to get H2 from T and Vhat2. Anybody have a clue?

Dr. B said...

Nutella:
I am glad you worked it out ! Good work.

Dr. B said...

Y:
Plot the 2-phase envelope and draw the relevant isotherm. This process is indeed isothermal and isobaric, so it moves along the horizontal portion of the isotherm on the PV Diagram.

Dr. B said...

Nutella:
Compare Vhat2 to Vsatliq and Vsatvap at T2 that you got in part (a). It turns out that Vhat2 falls between the two and, therefore, you need to determine the quality. Once you know the quality, use it to evaluate Hhat2.