Worksheet: Maxwell–Boltzmann Distributions

In this worksheet, we will practice using the Maxwell–Boltzmann distribution to describe temperature effects on the speeds of ideal gas particles.

Q1:

Which of the following statements is not correct?

  • AThe average kinetic energy of the molecules in a gas is independent of the molecular mass.
  • BThe ratio of the most probable speed to the mean speed has the same value for all gases at all temperatures.
  • CThe most probable value of a velocity component is equal to the most probable speed of the molecules in a dilute gas.
  • DDerivation of the ideal gas equation of state from the kinetic molecular theory of gases requires that the gas molecules be treated as noninteracting point masses.

Q2:

What is the root-mean-square velocity for a nitrogen molecule at 30C?

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