Imagine that the container from the problem introduction is now filled with N id

Question

Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted ?v2x?, is consistent with the Equipartition Theorem.

Find the pressure p on the right-hand wall of the container.

Find the magnitude of the average force ?Fx? in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vx, and Lx. Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities, but their average x velocity squared, denoted ?v2x?, is consistent with the Equipartition Theorem. Find the pressure p on the right-hand wall of the container. Express the pressure in terms of the absolute temperature T, the volume of the container V (where V=LxLyLz), kB, and any other given quantities. The lengths of the sides of the container should not appear in your answer.

Explanation / Answer

(N/V)*(k_B)*T

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