A piston-cylinder device contains 12 kg of saturated vapor R-134a at 2.4 bar (St
ID: 1861761 • Letter: A
Question
A piston-cylinder device contains 12 kg of saturated vapor R-134a at 2.4 bar (State 1). A 110V electric source supplies current to a resistor within the cylinder for 6 minutes and heat transfer of 300kJ occurs to the system. During these energy interactions, the pressure is maintained constat and the refrigerant is heated to 70 degrees C (State 2).
a) Calculate the current (A) supplied to the resistor.
b) Show the expansion process for R-134a on a P-v diagram. Label states, show property values, and indicate appropriate lines of constant temperature.
Please show all work!
Thanks for any help you can give!
Explanation / Answer
b)
From R-134a properties,
For sat. vapor at 2.4 bar, we get v1 = 0.0839 m^3/kg, h1 = 247 kJ/kg
For P2 = P1 = 2.4 bar and T2 = 70 deg C we get v2 = 0.113 m^3/kg, h2 = 315 kJ/kg
Hence, P-v diagram will look like a straight horizontal line from right to left.
P1 = 2.4 bar
P2 = 2.4 bar
v1 = 0.0839 m3/kg
v2 = 0.113 m3/kg
Q = m*(h2 - h1)
Q = 12*(315-247) = 816 kJ
816 = 300 + V*I*t
816 = 300 + 110*I*(6*60)
I = 13.03 amp
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