Gas Compression in a Closed System: Non-Linear vs. Horizontal P-V Diagrams

In summary, the conversation discusses the shape of the graph when a gas in a closed system is compressed. It is mentioned that the graph can be non-linear if T is constant, but it is not clear if it can be horizontal. The Idea Gas Law is suggested as a possible equation to determine the shape of the curve, and it is noted that it can be used to calculate the work done. However, there is confusion about the shape of the curve in a polytropic compression process, where the equation PVn=C may apply.
  • #1
mech-eng
828
13
When a gas in a closed system is compressed, should the graph always be non-linear? If T is constant ie if the process isothermal it is clear that it should be so but I am not very sure that if the graph can be horizontal. If T decreases might not it be horizontal?

upload_2017-4-26_19-17-48.jpeg


Thank you.
 
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  • #2
Unless some other constitutive equation is specified, I'd be inclined to assume that the Idea Gas Law applies. Thus,
P * V = N * R * T
This will enable you to express P(V) and thus calculate the work done.
 
  • #3
Dr.D said:
Unless some other constitutive equation is specified, I'd be inclined to assume that the Idea Gas Law applies. Thus,
P * V = N * R * T
This will enable you to express P(V) and thus calculate the work done.
Yes we can calculate the work done but I especially ask for the shape of the curve.

Thank you.
 
  • #4
Solve the equation for P and you have the shape of the curve.
 
  • #5
Dr.D said:
Solve the equation for P and you have the shape of the curve.

But such a compression process is polytropic so the equation is also might be PVn=C and this is where I am confused.

Thank you.
 

What is gas compression in a closed system?

Gas compression in a closed system refers to the process of increasing the pressure of a gas by decreasing its volume. This is typically done using a mechanical device, such as a compressor, in a closed container.

What is a non-linear P-V diagram?

A non-linear P-V (pressure-volume) diagram is a graphical representation of the relationship between pressure and volume in a closed system. In this diagram, the pressure and volume are not directly proportional, meaning that the slope of the line is not constant. This type of diagram is commonly used to illustrate the behavior of gases during compression.

What is a horizontal P-V diagram?

A horizontal P-V (pressure-volume) diagram is a graphical representation of the relationship between pressure and volume in a closed system where the pressure remains constant. In this diagram, the line representing the relationship between pressure and volume is horizontal, indicating that the pressure does not change as the volume changes. This type of diagram is commonly used to illustrate the behavior of gases at constant pressure.

What factors determine the shape of a P-V diagram?

The shape of a P-V (pressure-volume) diagram is determined by several factors, including the type of gas being compressed, the starting pressure and volume, and the type of compression being used (e.g. isothermal, adiabatic, etc.). These factors all influence how the pressure and volume change in relation to each other during the compression process.

What are the differences between non-linear and horizontal P-V diagrams?

The main difference between non-linear and horizontal P-V diagrams is the shape of the line representing the relationship between pressure and volume. In a non-linear diagram, the line is not straight and the slope changes, indicating a non-proportional relationship between pressure and volume. In a horizontal diagram, the line is straight and horizontal, indicating a constant pressure throughout the compression process.

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