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.


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.


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

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