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 incorrect?

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


What is the root-mean-square velocity for a nitrogen molecule at 3 0 C ?

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