Solution Found!
Answer: The pV-diagram in Fig. E20.5 shows a cycle of a
Chapter 20, Problem 5E(choose chapter or problem)
The pV-diagram in Fig. E20.5 shows a cycle of a heat engine that uses 0.250 mole of an ideal gas having \(\gamma=1.40\). The curved part \(a b\) of the cycle is adiabatic. (a) Find the pressure of the gas at point. (b) How much heat enters this gas per cycle, and where does it happen? (c) How much heat leaves this gas in a cycle, and where does it occur? (d) How much work does this engine do in a cycle? (e) What is the thermal efficiency of the engine?
Equation Transcription:
Text Transcription:
gamma=1.40
ab
p(atm)
V(m^3)
Questions & Answers
QUESTION:
The pV-diagram in Fig. E20.5 shows a cycle of a heat engine that uses 0.250 mole of an ideal gas having \(\gamma=1.40\). The curved part \(a b\) of the cycle is adiabatic. (a) Find the pressure of the gas at point. (b) How much heat enters this gas per cycle, and where does it happen? (c) How much heat leaves this gas in a cycle, and where does it occur? (d) How much work does this engine do in a cycle? (e) What is the thermal efficiency of the engine?
Equation Transcription:
Text Transcription:
gamma=1.40
ab
p(atm)
V(m^3)
ANSWER:
Solution 5E
Step 1:
For an ideal gas undergoing adiabatic expansion or compression, we can write,
PV𝜸 = a constant
Where, P - Pressure of the gas
V - Volume of the gas
𝜸 - adiabatic index
We know that, the ideal gas equation is, PV = nRT
Where, n - Number of moles of the gas
R - Universal gas constant
T - Temperature of the gas