Finding Efficiency from a P-V Graph

In summary, a P-V graph is a graphical representation of the relationship between pressure and volume in a system, commonly used in thermodynamics. To find efficiency from a P-V graph, you need to calculate the work done by the system and compare it to the work done by an ideal system. The shape of a P-V graph can indicate the type of process occurring in the system, with a curved line indicating a non-ideal process. Temperature can affect a P-V graph by changing the slope of the line, with an ideal gas having a decreasing slope as temperature increases. P-V graphs can be used in various real-world applications, such as analyzing the efficiency of engines and designing systems for maximum efficiency.
  • #1
yossup
28
0
uh...just wondering but how do you find out the efficiency from a P-V graph?
 
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  • #2
depends on the engine's process
 
  • #3
The figure is a PV diagram for a reversible heat engine in which 1.0 mol of argon, a nearly ideal monatomic gas, is initially at STP (point a). Points b and c are on an isotherm at T = 423 K. Process ab is at constant volume, process ac at constant pressure.

How would I go about finding the efficiency from such a graph?
 

1. What is a P-V graph?

A P-V graph, also known as a pressure-volume graph, is a graphical representation of the relationship between pressure and volume in a system. It is commonly used in thermodynamics to analyze the efficiency of a system.

2. How do you find efficiency from a P-V graph?

To find efficiency from a P-V graph, you need to calculate the work done by the system and compare it to the work done by an ideal system. The efficiency can be calculated by dividing the work done by the system by the work done by the ideal system and multiplying by 100%.

3. What does the shape of a P-V graph indicate?

The shape of a P-V graph can indicate the type of process occurring in the system. For example, a horizontal line indicates a constant volume process, while a vertical line indicates a constant pressure process. A curved line indicates a non-ideal process.

4. How does temperature affect a P-V graph?

Temperature can affect a P-V graph by changing the slope of the line. In an ideal gas, as temperature increases, the slope of the line decreases. In a non-ideal gas, the slope of the line may vary depending on the temperature and pressure.

5. How can P-V graphs be used in real-world applications?

P-V graphs can be used in various real-world applications, such as analyzing the efficiency of engines, refrigeration systems, and power plants. They can also be used to study the behavior of gases and to design and optimize systems for maximum efficiency.

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