Help With Applying PV=Constant Equation

In summary, the conversation discusses the application of the equation PV=const in a problem involving an isobaric process. The person asking for help is struggling with understanding how to use this equation and the expert suggests breaking down the problem into smaller steps. The expert also provides a helpful hint about the relationship between V and T in an isobaric process. The ultimate goal is to determine the V-T plot for a mass m/4 at a pressure P/2.
  • #1
Arun Raja
17
0

Homework Statement


http://puu.sh/c0rhe/fb6b48f890.png

Homework Equations


PV=constant

The Attempt at a Solution



I have no idea how to apply the above equation. Please help.[/B]
 
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  • #2
The above equation (PV=const) can not be applied. For what process is it valid? What process is the problem about?

ehild
 
  • #3
It is a isobaric process.
 
  • #4
Remember the ideal gas law. What equation holds between V and T in an isobaric process?
 
  • #5
V/T=k

but how is this supposed help me answer the question?
Pls provide some help.
I am having my exams tmrw
 
  • #6
Perhaps you could do it in a couple of steps?

The graph B shows the V-T plot for a mass m at a constant pressure P. What would be the V-T plot for one quarter of that mass, m/4, at the same constant pressure P?

Finally, what would now be the plot for m/4 at half the pressure, viz., P/2?
 

FAQ: Help With Applying PV=Constant Equation

What is the PV=Constant equation and how is it used?

The PV=Constant equation, also known as the Boyle's Law, is a mathematical relationship between the pressure and volume of a gas at a constant temperature. It states that the product of pressure and volume of a gas is always constant. It is commonly used in thermodynamics and gas laws to predict the behavior of gases under different conditions.

How can I apply the PV=Constant equation in real-life situations?

The PV=Constant equation can be applied in various real-life situations, such as understanding the behavior of gas in a closed container, calculating the volume of a gas at a specific pressure, and predicting changes in pressure when volume is altered. It is also used in industries like diving, scuba diving, and gas storage to ensure safety and efficiency.

What are the units of measurement used in the PV=Constant equation?

The units of measurement used in the PV=Constant equation depend on the values provided. However, pressure is typically measured in atmospheres (atm), millimeters of mercury (mmHg), or Pascals (Pa), and volume is measured in liters (L) or cubic meters (m3).

Can the PV=Constant equation be applied to all gases?

No, the PV=Constant equation can only be applied to ideal gases. Ideal gases follow the assumptions of gas laws, such as having no intermolecular forces and having particles with negligible volume. However, it can be used as an approximation for real gases under certain conditions.

How does temperature affect the PV=Constant equation?

In the PV=Constant equation, temperature is considered a constant. However, according to Gay-Lussac's Law, the pressure and volume relationship of a gas is directly proportional to its temperature. Therefore, changes in temperature can affect the values of pressure and volume in the equation.

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