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⚛️ Physics  ·  Kinetic Theory  ·  NEET & JEE

A vessel contains a mixture of two ideal gases at the same temperature. Which statement is true regarding their molecules?

Answer: Both gases have the same average kinetic energy per molecule.

  • A Both gases have the same rms speed
  • B Both gases have the same average kinetic energy per molecule
  • C The heavier gas molecules have higher rms speed
  • D Both gases have the same pressure individually inside the mixture

Correct answer: B. Both gases have the same average kinetic energy per molecule

Explanation: At a given temperature, average KE per molecule = (3/2)k<sub>BT</sub> is the same for all ideal gases regardless of molar mass; only their speeds differ (lighter molecules move faster).

Maxwell-Boltzmann Speed Distributionspeed (v)fraction of moleculesv_pv_avgv_rmsv_p < v_avg < v_rms always, for any gas at any temperature

Not all gas molecules move at the same speed - the Maxwell-Boltzmann distribution shows the spread, with the most probable speed vp slightly less than the average vavg, which is slightly less than the root-mean-square speed vrms used in the pressure formula.

Concept context

Kinetic theory of gases connects molecular motion to pressure and temperature, explaining gas laws, specific heats, and molecular speeds.

Read the full Kinetic Theory notes →