Practice question
Question
A gas mixture has equal masses of hydrogen and argon at 300 K. What is the ratio of their rms speeds? (Molecular mass: H_2 = 2 u, Ar = 39.9 u)
Explanation
Given:
A gas mixture has equal masses of hydrogen and argon at 300 K. What is the ratio of their rms speeds? (Molecular mass: H_2 = 2 u, Ar = 39.9 u)
Formula:
v_{rms ∝ frac1√m, fracv_{H_2v_{Ar = √fracm_{Arm_{H_2.
Substitution & Calculation:
fracv_{H_2v_{Ar = √39.9/2 approx √19.95 approx 4.47.
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
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