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Section 17.7 The Specific Heats of GasesThe volume of a
Chapter 17, Problem 24E(choose chapter or problem)
Problem 24E
Section 17.7 The Specific Heats of Gases
The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5.
a. What is the specific heat ratio γ ?
b. By what factor does the temperature increase?
Questions & Answers
QUESTION:
Problem 24E
Section 17.7 The Specific Heats of Gases
The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5.
a. What is the specific heat ratio γ ?
b. By what factor does the temperature increase?
ANSWER:
Step 1 of 3
Part (a)
We are going to find the specific heat ratio \(\gamma\) of the given ideal gas. The process is given as the adiabatic compression.
The final pressure of the gas \(P_{2}=2.5 P_{1}\)
The final volume of the gas \(V_{1}=2.0 \mathrm{~V}_{2}\)