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AP EAMCET202420 May 2024Morning ShiftChemistryStates of MatterActual

At 133.33 K . the RMS velocity of an ideal gas is ( M 0.083 ~kg ~mol ⁻¹: R =8.3 ~J ~mol ⁻¹ ~K ⁻¹ )

Options

  1. A200 ~ms ⁻¹
  2. B150 ~ms ⁻¹
  3. C2000 ~ms ⁻¹
  4. D400 ~ms ⁻¹

Correct answer

A. 200 ~ms ⁻¹

Step-by-step solution

Given T =133.33 K M =0.083 ~kg ~mol ⁻¹ R =8.3 ~J ~mol ~K ⁻¹ To Find the RMS velocity of an ideal gas the formula is- v_ rms = 3 RT M putting the value in the formula. v_ rms = 3 8.3 ~J ~mol ⁻¹ ~K ⁻¹ 133.33 k 0.083 ~kg / mol v_ rms = 3323.99 0.083 v_ rms = 40048.14 ~J ~kg ⁻¹ v_ rms =200.12 ~m / s

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