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TS EAMCET · Physics · Kinetic Theory of Gases

RMS velocity of oxygen molecules at NTP is \(0.5 \mathrm{~km} / \mathrm{s}\). The RMS velocity for the hydrogen molecule at NTP is

  1. A \(4 \mathrm{~km} / \mathrm{s}\)
  2. B \(2 \mathrm{~km} / \mathrm{s}\)
  3. C \(3 \mathrm{~km} / \mathrm{s}\)
  4. D \(1 \mathrm{~km} / \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \mathrm{~km} / \mathrm{s}\)

Step-by-step Solution

Detailed explanation

RMS velocity of molecules at NTP \[ v_{\mathrm{rms}}=\sqrt{\frac{3 R T}{M}} \] RMS velocity of oxygen molecules at NTP \[ \left(v_1\right)=\sqrt{\frac{3 R T}{M_1}}=0.5 \mathrm{~km} / \mathrm{s} \] RMS velocity of hydrogen molecules at NTP…
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