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Topic: Kinetic interpretation of temperature, RMS speed· Kinetic Theory of Gases

Match Column - I and Column - II and choose the correct match from the given choices.Column - I: (A) Root mean square speed of gas molecules; (B) Pressure exerted by ideal gas; (C) Average kinetic energy of a molecule; (D) Total internal energy of 1…

Match Column - I and Column - II and choose the correct match from the given choices.

Column - I: (A) Root mean square speed of gas molecules; (B) Pressure exerted by ideal gas; (C) Average kinetic energy of a molecule; (D) Total internal energy of 1 mole of a diatomic gas

Column - II: (P) \(\frac{1}{3}nm\bar{v}^2\); (Q) \(\sqrt{\frac{3RT}{M}}\); (R) \(\frac{5}{2}RT\); (S) \(\frac{3}{2}k_BT\)

1. (A) - (R), (B) - (P), (C) - (S), (D) - (Q)

2. (A) - (Q), (B) - (R), (C) - (S), (D) - (P)

3. (A) - (Q), (B) - (P), (C) - (S), (D) - (R)

4. (A) - (R), (B) - (Q), (C) - (P), (D) - (S)

1 answer

Best answer

Answer: 3. (A) - (Q), (B) - (P), (C) - (S), (D) - (R)

  • (A) rms speed \(=\sqrt{3RT/M}\) matches Q.
  • (B) Pressure \(=\tfrac13 nm\bar v^2\) matches P.
  • (C) Average kinetic energy of a molecule \(=\tfrac32 k_BT\) matches S.
  • (D) Internal energy of 1 mole of diatomic gas \(=\tfrac52RT\) (5 degrees of freedom, \(\tfrac12RT\) each) matches R.

So A-Q, B-P, C-S, D-R: option 3.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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