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⚛️ Physics  ·  Kinetic Theory  ·  NEET & JEE

Why does a balloon filled with helium gas leak (deflate) faster than one filled with air, through the same tiny porous wall?

Answer: Helium has a higher rms speed (lower molar mass) so it diffuses out faster.

  • A Helium atoms are actually heavier than the nitrogen and oxygen in air
  • B Helium has a higher rms speed (lower molar mass) so it diffuses out faster
  • C Helium chemically reacts with and weakens the balloon material
  • D The enclosed air has a lower internal pressure than the helium

Correct answer: B. Helium has a higher rms speed (lower molar mass) so it diffuses out faster

Explanation: Since v<sub>rms</sub> ∝ 1/√M, lighter helium molecules move faster than air molecules at the same temperature, leading to faster effusion/diffusion through small pores.

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 →