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Applying the Energy BalanceA piston-cylinder
Chapter 3, Problem 82P(choose chapter or problem)
A piston-cylinder assembly contains propane, initially at \(27^{\circ} \mathrm{C}\), 1 bar, and a volume of \(0.2 \mathrm{~m}^3\). The propane undergoes a process to a final pressure of 4 bar, during which the pressure-volume relationship is \(p V^{1.1}=\) constant. For the propane, evaluate the work and heat transfer, each in kJ. Kinetic and potential energy effects can be ignored.
Questions & Answers
QUESTION:
A piston-cylinder assembly contains propane, initially at \(27^{\circ} \mathrm{C}\), 1 bar, and a volume of \(0.2 \mathrm{~m}^3\). The propane undergoes a process to a final pressure of 4 bar, during which the pressure-volume relationship is \(p V^{1.1}=\) constant. For the propane, evaluate the work and heat transfer, each in kJ. Kinetic and potential energy effects can be ignored.
ANSWER:Step 1 of 6:
A cylinder with a piston contains Propane. The system undergoes a thermodynamic process. The pV1.1 is constant during the process. We are going to find the work, heat transfer. The kinetic and potential energies can be neglected.
The initial pressure p1 = 1 bar = 105 Pa
The final pressure p2 = 4 bar = 4 x 105 Pa
The initial volume V1 = 0.2 m3
The initial temperature T1 = 27°C
Since
Solving for V2
Substituting the values
