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Thermodynamics Problem: Two Expansion Processes of Air, Exercises of Applied Thermodynamics

A problem involving two expansion processes of a closed system containing air. The problem includes given initial conditions, constants cp, cv, and r, and asks to sketch the processes on p-v and t-v diagrams, determine pressures and temperatures at the end of each process, calculate the work done and heat transferred, and find the change in enthalpy. The document also includes a reference to learning objectives lo#4 and lo#5.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

selvi_pr43
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Problem T3. (Unified Thermodynamics)
Consider two quasi-static expansion processes, one adiabatic, the second isothermal for a
closed system containing air at T1 = 300K, v1 = 1 m3/kg. At the end of both expansion
processes, the specific volume, v2 = 10 m3/kg. Assume that cp = 1.0035 kJ/kg-K, cv =
0.7165 kJ/kg-K, and R = 0.287 kJ/kg-K.
a) Sketch both processes on p-v and T-v diagrams.
b) For each process determine p2 and T2.
c) For each process, determine the work done by the system and the heat transferred to
the system.
d) For each process calculate the change in enthalpy of the air.
e) What is the difference between heat and temperature?
(LO#4, LO#5)
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Problem T3. (Unified Thermodynamics) Consider two quasi-static expansion processes, one adiabatic, the second isothermal for a closed system containing air at T 1 = 300K, v 1 = 1 m^3 /kg. At the end of both expansion processes, the specific volume, v 2 = 10 m^3 /kg. Assume that cp = 1.0035 kJ/kg-K, cv = 0.7165 kJ/kg-K, and R = 0.287 kJ/kg-K. a) Sketch both processes on p-v and T-v diagrams. b) For each process determine p 2 and T 2. c) For each process, determine the work done by the system and the heat transferred to the system. d) For each process calculate the change in enthalpy of the air. e) What is the difference between heat and temperature?

(LO#4, LO#5)

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