Verified Solution • 2025–26 Session moderate

QPage 33: Q5: HC Verma: Concepts of Physics - Volume 2 Kinetic Theory of Gases Page 33: Q5 Solution: Which of the following gases has maximum rms speed at a given…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often think that a larger molar mass yields a higher rms speed, but the formula $v_{ ext{rms}}=sqrt{3RT/M}$ shows $v_{ ext{rms}}propto1/sqrt{M}$. Use the molar mass in kg mol⁻¹ (H₂ has 2 g mol⁻¹) and remember the inverse square‑root dependence to avoid the mistake.

Which of the following gases has maximum rms speed at a given temperature?

Multiple Choice Options

  • A hydrogen
  • B nitrogen
  • C oxygen
  • D carbon dioxide.

Step-by-Step Verified Solution

**Answer:** (a) hydrogen. **Step-by-Step Explanation:** The rms speed is v_rms = �(3RT/M). At a given temperature, the gas with the smallest molar mass M has the highest rms speed. Hydrogen (M = 2 g/mol) has the smallest molar mass among the options.

All Questions in this Chapter

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