Solution Found!
Using Specific Volume, Volume, and PressureA gas contained
Chapter 1, Problem 31P(choose chapter or problem)
A gas contained within a piston-cylinder assembly undergoes three processes in series:
Process 1-2: Compression with pV= constant from \(p_1=1\) bar, \(V_1=1.0 \mathrm{~m}^3\) to \(V_2=0.2 \mathrm{~m}^3\)
Process 2-3: Constant-pressure expansion to \(V_3=1.0 \mathrm{~m}^3\)
Process 3-1: Constant volume
Sketch the processes in series on a p-V diagram labeled with pressure and volume values at each numbered state.
Questions & Answers
QUESTION:
A gas contained within a piston-cylinder assembly undergoes three processes in series:
Process 1-2: Compression with pV= constant from \(p_1=1\) bar, \(V_1=1.0 \mathrm{~m}^3\) to \(V_2=0.2 \mathrm{~m}^3\)
Process 2-3: Constant-pressure expansion to \(V_3=1.0 \mathrm{~m}^3\)
Process 3-1: Constant volume
Sketch the processes in series on a p-V diagram labeled with pressure and volume values at each numbered state.
ANSWER:Step 1 of 4:
Consider a container has a gas and the piston and the container goes various processes. Initially, PV is constant, the pressure is constant in the second process and the volume is kept constant at the third process. We are going to draw the PV diagram of the processes.
Process 1:
The process is compression and PV is constant here.
The initial pressure P1 = 1 bar
The initial volume V1 = 1.0 m3
The final volume V2 = 0.2 m3
Since PV = constant
The final pressure at the end of the process 1 is 5 bar.