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Final answer:

The Maxwell-Boltzmann statistics in physics are characterized by the distribution of molecular speeds, temperature dependency, and dependence on molecular mass.

Explanation:

The special characteristics of Maxwell-Boltzmann statistics are as follows:

  • Distribution of molecular speeds: The Maxwell-Boltzmann distribution depicts the relative numbers of molecules in a gas sample that possess a given speed. This distribution is predictable and shows that the most probable speed is less than the root mean square (RMS) speed.
  • Temperature dependency: Increasing the temperature of a gas sample shifts the Maxwell-Boltzmann distribution curve to higher speeds and broadens its range. This means that higher temperatures increase the most probable speed but decrease the relative number of molecules that have that speed.
  • Dependence on molecular mass: The Maxwell-Boltzmann distribution also shows that more massive molecules move slower and have a narrower distribution of speeds compared to lighter molecules.

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