Perfect Gas Problems

ME354 Thermodynamics 2

Perfect Gas Problems


Problem 8-1
Starting with Gibbs equation, show that for a perfect gas undergoing an isentropic process (T2/ T1) = (P2/ P1)(k-1)/k, where k = cp/cv.

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Problem 8-26
Argon is compressed isothermally from 100 oC at 1 atm to 4 atm. Calculate the final temperature and the work required per kg of flow. Compare this to an isentropic compression from the same inlet conditions to the same final pressure.

Answer:
isothermal: Tf= 373.2 K, W/m = 107.6 kJ/kg
isentropic: Tf= 647.6 K, W/m = 143.6 kJ/kg

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Problem 2: 5
Nitrogen at 6.4 MPa and 145 K is contained in a tank of 0.3 cubic meters. Heat is transferred to the nitrogen until the temperature is 190 K. Determine the heat transferred and the final pressure.
Note: the definition of v/vcrit is in the table heading of Figure B.14a on page 616 of Reynolds & Perkins.

a) using generalized charts
b) assuming perfect gas and constant specific heats


Answer:
a) Q = 3592.7 kJ, Pf = 13.594 MPa
b) Q = 1493.7 kJ, Pf = 8.386 MPa

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