Calculate Pressure When V2 Changes: PVT Relationships

In summary, to calculate pressure when the volume changes, you can use the ideal gas law equation pV=mRT or the combined gas equation PV/T=constant. Simply rearrange the equations and plug in the given values for each state to obtain the desired pressure value.
  • #1
db1
14
0
How do i calculate pressure?

P1 = 3atm .... P2 = ?
V1 = 4 m3...V2 = 2 m3(half original)
T1 = 300k...T2 = 400

how do i calculate pressure when V2 changes?

Thanks for any help
 
Engineering news on Phys.org
  • #2
You need to give a bit more on the problem? What fluid are you using?
 
  • #3
just says a quantity of gas
 
  • #4
I'll assume that they want to use the ideal gas law to solve then.
 
  • #5
P2 = 8atm, I am just not sure how to work it out
 
  • #6
You have a gas at two states; let's call it state 1 and state 2.

Ideal gas law is pV=mRT where R is universal gas constant of 8314.

You have all the parameters for state 1 apart from the mass. Once you know this you will know all the parameters for state 2 apart from the pressure. Plug in the numbers and there's your answer.
 
  • #7
its just talking about the combined gas equation PV/T= constant

it isn't saying anything about m or R yet
 
  • #8
Well then it is even easier!

PV/t=constant so for state 1, obtain an aswer (this is constant) then rearrange for V and plug in the values for state 2.
 
  • #9
have it now, thanks for your help
 

What is the formula for calculating pressure when V2 changes?

The formula for calculating pressure when V2 changes is P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

How do you convert between different units of pressure and volume?

To convert between different units of pressure and volume, you can use conversion factors. For example, to convert from liters to cubic meters, you would multiply the volume in liters by 0.001. Similarly, to convert from atmospheres to pascals, you would multiply the pressure in atmospheres by 101325.

How do changes in temperature affect pressure and volume?

According to the ideal gas law, as the temperature of a gas increases, its volume also increases, and its pressure decreases. This is because the molecules in a gas have more energy and move faster at higher temperatures, causing them to take up more space.

What are some real-world applications of calculating pressure when V2 changes?

Calculating pressure when V2 changes is important in many industries, such as in the production of compressed gases, in the design of engines and turbines, and in studying the behavior of gases in various environments. It is also useful in analyzing weather patterns and predicting changes in atmospheric pressure.

How does the relationship between pressure, volume, and temperature affect the behavior of gases?

The relationship between pressure, volume, and temperature, known as the ideal gas law, helps explain the behavior of gases in various conditions. This law states that when the temperature and amount of gas are held constant, pressure and volume are inversely proportional. When the pressure and amount of gas are held constant, volume and temperature are directly proportional. And when the volume and temperature are held constant, pressure and temperature are directly proportional. Understanding this relationship is crucial in many scientific fields, including chemistry, physics, and meteorology.

Similar threads

  • Mechanical Engineering
Replies
3
Views
1K
  • Mechanical Engineering
Replies
12
Views
5K
Replies
4
Views
2K
  • Thermodynamics
Replies
3
Views
1K
  • Mechanical Engineering
Replies
1
Views
1K
  • Mechanical Engineering
Replies
10
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
756
  • Introductory Physics Homework Help
Replies
8
Views
761
  • Introductory Physics Homework Help
Replies
8
Views
663
  • Introductory Physics Homework Help
Replies
6
Views
1K
Back
Top