Effusion Physics Problem: Calculating Final Temperature of Gas in a Vessel

In summary, effusion in physics is the process of gas particles escaping from a container through a small opening. It is related to diffusion, which involves the movement of gas particles from high to low concentration. Graham's law of effusion states that the rate of effusion is inversely proportional to the square root of the gas's molar mass. Effusion can be measured using equipment such as a gas effusion apparatus, and it has various real-world applications, including in the production of neon lights, fuel cells, and gas sensors.
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Homework Statement



A vessel contains gas at temp T (monatomic). Maxwellian distribution of speeds.

Molecules diffuse via small hole into vacuum. Box opened for short time and catches some molecules. Calc. final temp of gas in box.

Homework Equations





The Attempt at a Solution



So i worked out mean ke of effused molecules to be 2kT

Let Tf be temp of gas in box

can i then just say Tf = p/nk

But p = 1/2 n m <v^2>

Therefore, using my result, Tf = 4/3 T? Is this right?
 
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anyone...?
 

Related to Effusion Physics Problem: Calculating Final Temperature of Gas in a Vessel

1. What is effusion in physics?

Effusion in physics refers to the process of gas particles escaping from a container through a small opening. This occurs due to the random motion of gas particles and is influenced by factors such as temperature and pressure.

2. How is effusion related to diffusion?

Effusion and diffusion are related processes that involve the movement of gas particles. Effusion refers to the movement of gas particles through a small opening, while diffusion refers to the movement of gas particles from an area of high concentration to an area of low concentration.

3. What is Graham's law of effusion?

Graham's law of effusion states that the rate of effusion for a gas is inversely proportional to the square root of its molar mass. This means that lighter gases will effuse faster than heavier gases.

4. How is effusion measured?

Effusion can be measured by determining the rate of gas flow through a small opening, such as a pinhole in a container. This can be done using equipment such as a gas effusion apparatus.

5. What are some real-world applications of effusion?

Effusion has various real-world applications, such as in the production of neon lights, fuel cells, and gas sensors. It is also used in industrial processes, such as in the separation of gases and in the production of semiconductors.

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