Number of collisions/sec for a gas atom

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In summary, the number of collisions per second a single ideal gas atom makes with one of the faces of a cubic container with sides of length l is (1/2)(l^2)(Vx)n, where n is the number of gas atoms per unit volume. This means that as the number of gas atoms per unit volume increases, so does the number of collisions per second with one of the faces.
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ZedCar
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Homework Statement


Consider a single ideal gas atom bouncing between two opposite faces of a cubic container, with sides of length l.
Using m for the mass of the gas atom and Vx (V sub x) for the velocity component, give an expression for the number of collisions per second the atom makes with one of the faces.


Homework Equations





The Attempt at a Solution



Number of collisions per second with one of the faces = (1/2)(l^2)(Vx)n

Where n is the number of gas atoms per unit volume.

Should n be in the solution?
If the number of atoms per unit volume, n, increases then according to the solution so do the number of collisions with one of the faces. Would that be correct? The higher the number of gas atoms per unit volume, the more collisions there are per second with one of the faces?

Thank you
 
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ZedCar said:
Consider a single ideal gas atom bouncing between two opposite faces of a cubic container, with sides of length l.
Using m for the mass of the gas atom and Vx (V sub x) for the velocity component, give an expression for the number of collisions per second the atom makes with one of the faces.


The Attempt at a Solution



Number of collisions per second with one of the faces = (1/2)(l^2)(Vx)n

Where n is the number of gas atoms per unit volume.

Should n be in the solution?


Read the problem text carefully.

ehild
 

FAQ: Number of collisions/sec for a gas atom

How is the number of collisions per second for a gas atom calculated?

The number of collisions per second for a gas atom is calculated using the formula: (n * V * c), where n is the number of gas atoms per unit volume, V is the volume of the container, and c is the average speed of the gas atoms.

What factors affect the number of collisions per second for a gas atom?

The number of collisions per second for a gas atom is affected by several factors, including the number of gas atoms present, the volume of the container, the temperature of the gas, and the average speed of the gas atoms.

How does temperature affect the number of collisions per second for a gas atom?

As temperature increases, the number of collisions per second for a gas atom also increases. This is because at higher temperatures, gas atoms have more kinetic energy and move faster, resulting in more frequent collisions.

Can the number of collisions per second for a gas atom be changed?

Yes, the number of collisions per second for a gas atom can be changed by altering the factors that affect it. For example, increasing the number of gas atoms, decreasing the volume of the container, or increasing the temperature can all result in a higher number of collisions per second.

Why is the number of collisions per second for a gas atom important in understanding gas behavior?

The number of collisions per second for a gas atom is important because it helps us understand how gas atoms interact with each other and their surroundings. It is a key factor in determining the pressure, volume, and temperature of a gas, and is essential in studying gas behavior and properties.

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