Statistical Physics basic problem

In summary, at equilibrium, the mean number of molecules of Neon gas in the larger partition is 750 and in the smaller partition is 250, while the mean number of molecules of He gas in the larger partition is 25 and in the smaller partition is 75. This information was obtained by maintaining the volume ratio and using basic statistical and probability concepts.
  • #1
FourierX
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Homework Statement



A box is separated by a partition which divides its volume in the ratio 3:1. The larger portion of the box contains 1000 molecules of Neon gas, the smaller one contains 100 molecules of He gas. A small hole is made in the partition, and one waits until equilibrium is obtained.

Find the mean number of molecules of each type on either side of the partition.


Homework Equations



Basic statistical and probability concept.

The Attempt at a Solution



At equilibrium, maintaining the volume ratio

the mean number of molecules of Ne in bigger partition = 750
the mean number of molecules of Ne in smaller partition = 250
the mean number of molecules of He in bigger partition = 25
the mean number of molecules of He in smaller partition = 75

That is what i ended up with. Any comments or suggestions will be greatly appreciated.


Gilchrist
 
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  • #2
hi gilchrist

Ne makes sense, but I wonder why 75% of HE is in the small box, I would have thought everything would be distributed evenly at equilibirum...
 
  • #3
actually, you are right ! I typed the wrong information. My bad.

Thank you :)
 

1. What is statistical physics?

Statistical physics is a branch of physics that studies the behavior of systems with a large number of particles, such as gases, liquids, and solids. It uses statistical methods to describe the properties of these systems and how they change over time.

2. What are the main concepts in statistical physics?

The main concepts in statistical physics include entropy, temperature, and energy. Entropy is a measure of the disorder or randomness in a system, while temperature is a measurement of the average energy of the particles in a system. Energy is the ability to do work and is conserved in closed systems.

3. What is the difference between classical and quantum statistical physics?

Classical statistical physics deals with systems that are large and have a large number of particles, while quantum statistical physics deals with systems that are small and have a small number of particles. In classical statistical physics, particles are treated as classical objects with well-defined positions and velocities, while in quantum statistical physics, particles are described by wave functions and have properties of both particles and waves.

4. How is statistical physics used in real-world applications?

Statistical physics has many real-world applications, including in thermodynamics, materials science, and biophysics. For example, the behavior of gases and liquids can be described using statistical physics, leading to the development of technologies such as refrigerators and air conditioners. In materials science, statistical physics is used to understand the properties of materials and develop new materials with specific properties. In biophysics, it is used to study the behavior of biological systems, such as proteins and cells.

5. What are some common problems encountered in statistical physics?

Some common problems encountered in statistical physics include calculating the thermodynamic properties of a system, such as the heat capacity and entropy, and understanding phase transitions, where a system changes from one state to another, such as from a solid to a liquid. Other challenges include developing mathematical models that accurately describe real-world systems and finding ways to apply statistical physics to new and emerging fields, such as network science and complex systems.

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