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JEE Main202225 Jun 2022Morning ShiftPhysicsKinetic Theory of GasesActual

The relation between root mean square speed v rms and most probable speed v p for the molar mass M of oxygen gas molecule at the temperature of 300 K will be

Options

  1. Av rms = 2 3 v p
  2. Bv rms = 1 3 v p
  3. Cv rms = 3 2 v p
  4. Dv rms = v p

Correct answer

C. v rms = 3 2 v p

Step-by-step solution

RMS speed of O 2 gas is v rms = 3 R T M = 3 R T 32 and most probable speed of O 2 gas is v most   probable = 2 R T M = 2 R T 32 . Here temperature is same. Thus, v rms v most   probable = 3 R T 32 2 R T 32 = 3 2 Hence, v rms = 3 2 v p

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