What is the path on the pV diagram for an isobaric expansion from 2 m^3 to 5 m^3?

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In summary, an isobaric expansion is represented by a horizontal line on the pV diagram, indicating that pressure remains constant while volume increases. This can be graphed by starting at 2m^3 and moving horizontally to 5m^3.
  • #1
ApexStudent1
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Draw the path in the pV diagram for an isobaric expansion from a volume of 2 m^3 to 5 m^3.



Idk which of these equations are needed because they all are given with this section...
ΔU=Q-W
ΔU=Q+W
W=PΔV
ΔU=Q
W=nRTln(Vf/Vi)
Q-W
ΔU=-W
ΔU=+W
e=W/Qh=1-Qc/Qh
e=1-Tc/Th
ΔS=Q/T




My attempt...

Graph with x being Volume and y being Pressure, a horizontal line from 2-5
 
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  • #2
An isobaric expansion means that the pressure is kept constant during the expansion. This means that when you graph the expansion on the pV diagram, you will have a line parallel to the V axis.
So what you did was right...
 
  • #3
m^3 would represent an isobaric expansion. This means that the pressure remains constant at a certain value while the volume increases. Therefore, the path on the pV diagram for an isobaric expansion from 2 m^3 to 5 m^3 would be a straight horizontal line at the pressure value. This is represented by the equation W=PΔV, where W is the work done, P is the constant pressure, and ΔV is the change in volume. This equation shows that the work done during an isobaric expansion is directly proportional to the change in volume. The path on the pV diagram would look like a rectangle, with the base representing the initial and final volumes (2 m^3 and 5 m^3) and the height representing the constant pressure.
 

1. What is a PV diagram?

A PV diagram, also known as a pressure-volume diagram, is a graph that shows the relationship between pressure and volume for a given system. It is used to analyze thermodynamic processes and can provide information about the work done by the system, as well as the efficiency of the process.

2. How is a PV diagram constructed?

A PV diagram is constructed by plotting pressure on the y-axis and volume on the x-axis. The shape of the curve on the graph can provide information about the process being analyzed. For example, a horizontal line indicates a constant pressure process, while a vertical line represents a constant volume process.

3. What is the significance of the area under a PV curve?

The area under a PV curve represents the work done by the system during a process. This is because work is equal to the force applied multiplied by the distance traveled, and in a PV diagram, the force is represented by pressure and the distance by volume. Therefore, the area under the curve is a measure of the work done by the system.

4. How are PV diagrams used in thermodynamics?

PV diagrams are used in thermodynamics to analyze and understand various thermodynamic processes, such as isothermal, adiabatic, and isobaric processes. They can also be used to calculate the efficiency of a process and to compare different processes.

5. What are some limitations of PV diagrams?

One limitation of PV diagrams is that they only show the relationship between pressure and volume, and do not take into account other variables such as temperature and internal energy. Additionally, PV diagrams are only applicable to ideal gases and may not accurately represent real-world systems with non-ideal behavior.

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