How Does the Kinetic Theory of Gases Explain Gas Movement in a Cylinder?

Click For Summary
SUMMARY

The discussion centers on the application of the Kinetic Theory of Gases to analyze gas movement in a cylinder divided by a membrane. The cylinder, measuring 34 cm, contains nitrogen at double the pressure of oxygen. Upon removal of the membrane, the movement of the cylinder can be calculated by considering the center of mass and the relative molecular densities of nitrogen (N2) and oxygen (O2) using the ideal gas law (PV=nRT) and the kinetic energy equation. The difference in molecular masses between N2 and O2 is also crucial for understanding the resulting motion.

PREREQUISITES
  • Kinetic Theory of Gases
  • Ideal Gas Law (PV=nRT)
  • Concept of Center of Mass
  • Molecular Mass Comparison (N2 vs O2)
NEXT STEPS
  • Study the implications of the Kinetic Theory of Gases on gas behavior in closed systems.
  • Learn how to calculate center of mass in systems with multiple components.
  • Explore the relationship between pressure and molecular density in gases.
  • Investigate the effects of molecular mass on gas diffusion and movement.
USEFUL FOR

Students of physics, particularly those studying thermodynamics and gas laws, as well as educators and anyone interested in the practical applications of the Kinetic Theory of Gases.

Seiya
Messages
43
Reaction score
1
Kinetic Theory of Gases... Little help please :)

Hey, i didnt seem to have trouble with any other questions except this one... all i could figure out is that i somehow must use the kinetic theory of gases?
A massless cylinder 34 cm long rests on a horizontal frictionless table. The cylinder is divided into two equal sections by a membrane. One section contains nitrogen and the other contains oxygen. The pressure of the nitrogen is twice that of the oxygen. How far will the cylinder move if the membrane is removed?
I tried setting 2pv= 2N(1/2mvx^2)av and divide it by pv= 2N(1/2mvx^2)
well i don't really know any advice appreciated :|
 
Physics news on Phys.org
Where is the center of mass before the membrane is removed and then after?

At the same temperature and same volume, what are the relative molecular densities of N2 and O2. Think PV=nRT.

Note also the difference in molecular masses.
 
Got it, thanks
 
Last edited:

Similar threads

How Does Intermolecular Potential Energy Behave in Ideal and Real Gases?
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad ##v_{rms}## in the Kinetic Theory Of Gases
  • · Replies 2 ·
Replies
2
Views
1K
Physics: pressure of mixing gases
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Can gas kinetic theory explain heat transfer from gas to a container?
  • · Replies 6 ·
Replies
6
Views
2K
How Is Gas Pressure Derived in the Kinetic Theory of Gases?
  • · Replies 3 ·
Replies
3
Views
2K
High School Collision time interval of a gas molecule with wall of container
  • · Replies 6 ·
Replies
6
Views
2K
How Much Oxygen Does a Medical Cylinder Hold at Different Pressures?
  • · Replies 1 ·
Replies
1
Views
2K
How Do Temperatures Equalize in a Partially Adiabatic Cylindrical Gas System?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Pressure should decrease in zero gravity?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Kinetic theory of gases: rebound speed and force questions
  • · Replies 2 ·
Replies
2
Views
3K