Why is the equation for compression work P=kV and not P=Pi/Vi?

  • Thread starter grandpa2390
  • Start date
  • Tags
    Compression
In summary, the conversation is about solving a problem of compression work by finding an equation for the line and integrating it. The equation is P=kV, where k is equal to Pi / Vi. The speaker is confused about why Pi / Vi is used instead of Pf / Vf, but both give different answers. The difference in k values is due to the conversion to meters cubed and N/meters cubed. The speaker asks if using initial values is important and mentions the impact of heat and practical considerations, such as dead volume, on calculating compression work. They also ask for more information about the specific problem they are working on.
  • #1
grandpa2390
474
14

Homework Statement


I am doing a problem of compression work. in order to solve it, I have to find an equation for the line and integrate it to get the work. But I don't understand why ##k = \frac{P_i}{V_i}##

Homework Equations



P=kV

The Attempt at a Solution



Why is it Pi / Vi and not Pf / Vf ? They both give different answers. In original units of atmospheres and liters they both give the same number (1). IT is when you convert to meters cubed and N/meters cubed that the value of k is different. it is not far off, but slightly.

Is it just a margin of error, but in general either one works. Or is using the initial values a matter of importance.
 
Physics news on Phys.org
  • #2
There are different ways of calculating compression work depending on what happens to the heat generated by the compression process .

There are sometimes practical things to take into account as well such as effect of dead volume .

Can you tell us more exactly what problem you are working on ?
 

1. What is the "Problem of Compression" in scientific research?

The "Problem of Compression" refers to the challenge of representing complex data or information in a simplified form without losing important details or accuracy. It is a common issue in scientific research, where large amounts of data need to be compressed for analysis and interpretation.

2. How does the "Problem of Compression" affect scientific studies?

The "Problem of Compression" can have a significant impact on the validity and reliability of scientific studies. If data is compressed too much, important patterns or relationships may be overlooked, leading to inaccurate conclusions. On the other hand, if data is not compressed enough, it can be overwhelming and difficult to analyze.

3. What are some techniques used to address the "Problem of Compression"?

Scientists use a variety of techniques to address the "Problem of Compression", depending on the type of data and the specific research question. Some common techniques include data reduction, dimensionality reduction, and compression algorithms.

4. Are there any potential drawbacks to using compression in scientific research?

Yes, there are potential drawbacks to using compression in scientific research. As mentioned before, if data is compressed too much, important information may be lost. Additionally, compression techniques may introduce bias or distortions in the data. It is important for scientists to carefully consider the potential drawbacks and limitations of using compression in their research.

5. How can scientists ensure that compression does not compromise the integrity of their research?

To ensure that compression does not compromise the integrity of their research, scientists should carefully select and test compression techniques that are appropriate for their specific data and research question. They should also thoroughly analyze the compressed data and compare it with the original data to check for any discrepancies or loss of important information.

Similar threads

Calculating Entropy Change for Gas Sample with Helium and Ideal Gas Equation
    • Introductory Physics Homework Help
Replies
1
Views
1K
How much work is done by the Adiabatic Compression of Diatomic Gasses
    • Introductory Physics Homework Help
Replies
18
Views
2K
Volume ratio in an adiabatic gas expansion
    • Introductory Physics Homework Help
Replies
9
Views
2K
What is the speed of air flow in a pipe driven by compressed air for 12 minutes?
    • Introductory Physics Homework Help
Replies
24
Views
2K
Pumping Bicycle tire: Find volume, work done, temperature
    • Introductory Physics Homework Help
Replies
8
Views
5K
Work done isothermal, adiabatic ideal gas
    • Introductory Physics Homework Help
Replies
1
Views
1K
Work and isothermal compressibility
    • Introductory Physics Homework Help
Replies
8
Views
6K
Spring compression homework problem
    • Introductory Physics Homework Help
Replies
14
Views
5K
Calculating work done on a gas- Adiabatic process PV diagram.
    • Introductory Physics Homework Help
Replies
2
Views
3K
Thermodynamics: Proofs of work done on/by gas during adiabatic process
    • Introductory Physics Homework Help
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top