What are the most probable velocity and the average velocity for a system that follows the Maxwell-Boltzmann distribution?

Answer 1

Maxwell Speed Distribution plot and typical speeds are given below in the figure.

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Answer 2

The most probable velocity is given by ( \sqrt{\frac{2kT}{m}} ), and the average velocity is ( \sqrt{\frac{8kT}{\pi m}} ), where ( k ) is the Boltzmann constant, ( T ) is the temperature in Kelvin, and ( m ) is the mass of the particle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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