Effusion Equation Help | Find Expressions for v1 and v2

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In summary, the problem asks for expressions for the most probable speeds of atoms (v1) that hit a screen after a certain distance from a small hole and atoms (v2) situated between the small hole and screen. The effusion equation, which states that molecular flux is proportional to pressure over the square root of temperature, may be helpful in solving this problem. However, the given information is not sufficient and further clarification is needed to proceed with a solution.
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Homework Statement



Maxwellian gas effuses through a small hole to form a beam. After a certain distance from the hole, the beam hits a screen. Let v1 be the most probable speed of atoms that during a fixed time interval, hit the screen. Let v2 be the most probable speed of atoms situated at any instant between the small hole and screen. Find expressions for v1 and v2


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The Attempt at a Solution



So this is all we've been given, which is a bit confusing.

So i know the effusion equation..so I know that molecular flux is proportional to p over root T, but i just don't see how to do this question?!
 
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anyone...?
 

1. What is the Effusion Equation?

The Effusion Equation, also known as Graham's Law of Effusion, is a mathematical relationship that describes the rate of effusion (or the escape of gas molecules through a small hole) of two different gases. It states that the rate of effusion is inversely proportional to the square root of the gas's molar mass.

2. How is the Effusion Equation used in science?

The Effusion Equation is used in science to calculate the relative rates of effusion for different gases. This information can be used to predict the diffusion of gases, as well as to determine the molecular weight of unknown gases.

3. Can you provide an example of how to use the Effusion Equation?

Yes, the Effusion Equation can be used to find the ratio of effusion rates between two gases. For example, if gas A has a molar mass of 20 g/mol and gas B has a molar mass of 40 g/mol, the effusion rate of gas A will be twice that of gas B (since the square root of 40 is twice the square root of 20).

4. What are the units for the variables in the Effusion Equation?

The units for the variables in the Effusion Equation are as follows: v1 and v2 represent the effusion rates, which are measured in units of volume per time (such as cm^3/s or mL/min), while M1 and M2 represent the molar masses of the gases, which are measured in units of mass per amount of substance (such as g/mol).

5. Are there any limitations to the Effusion Equation?

Yes, the Effusion Equation is based on certain assumptions, such as the gases being at the same temperature and pressure, and the holes being small enough for the gases to behave as ideal gases. In reality, these conditions may not always be met, which can affect the accuracy of the calculated effusion rates.

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