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Section 17.7 The Specific Heats of GasesA gas cylinder
Chapter 17, Problem 25E(choose chapter or problem)
Problem 25E
Section 17.7 The Specific Heats of Gases
A gas cylinder holds 0.10 mol of O2 at 150°C and a pressure of 3.0 atm. The gas expands adiabatically until the pressure is halved. What are the final (a) volume and (b) temperature?
Questions & Answers
QUESTION:
Problem 25E
Section 17.7 The Specific Heats of Gases
A gas cylinder holds 0.10 mol of O2 at 150°C and a pressure of 3.0 atm. The gas expands adiabatically until the pressure is halved. What are the final (a) volume and (b) temperature?
ANSWER:
Step 1 of 4
Part (a)
We are going to find the final volume of the given adiabatic process.
The initial pressure \(\mathrm{P}_{1}=3 \mathrm{~atm}=304 \times 10^{3} \mathrm{~Pa}\)
The initial temperature \(T_{1}=150^{\circ} \mathrm{C}=423 \mathrm{~K}\)
The final pressure \(P_{2}=1.5 \mathrm{~atm}=152 \times 10^{3} \mathrm{~Pa}\)
The number of moles \(n=0.1 \mathrm{~mol}\)
The ratio of specific heat \(\gamma\) \(=1.4\) (standard gas)
The gas constant \(R=8.314 \mathrm{~J} / \mathrm{mol} . \mathrm{K}\)