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Solved: Section 17.7 The Specific Heats of GasesA gas
Chapter 17, Problem 26E(choose chapter or problem)
Problem 26E
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 volume is doubled. What are the final (a) pressure and (b) temperature?
Questions & Answers
QUESTION:
Problem 26E
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 volume is doubled. What are the final (a) pressure and (b) temperature?
ANSWER:
Step 1 of 3
Part (a)
We are going to find the final pressure of the given adiabatic process.
The initial pressure \(P_{1}=3 \mathrm{~atm}\)
The initial temperature \(T_{1}=150^{\circ} \mathrm{C}=423 \mathrm{~K}\)
The final volume \(V_{2}=2 V_{1}\)
The number of moles \(\mathrm{n}=0.1 \mathrm{~mol}\)
The ratio of specific heat (gamma) \(=1.4\) (standard gas)
The gas constant \(R=8.314 \mathrm{~J} / \mathrm{mol} . \mathrm{K}\)