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MHT CET202123 Sep 2021Morning ShiftPhysicsKinetic Theory of GasesActual

At what temperature does the average translational kinetic energy of a molecule in a gas becomes equal to kinetic energy of an electron accelerated from rest through potential difference of ' V ' volt? ( N = Avogadro number, R = gas constant, e = electronic charge )

Options

  1. A2 eVN 3 R
  2. BeVN R
  3. CeVN 4 R
  4. D3 eVN 2 R

Correct answer

A. 2 eVN 3 R

Step-by-step solution

The average translational kinetic energy of a gas molecule = 3 2 kT = 3 2 R N T The kinetic energy of a electrons accelerated by a p.d. of V volts aligned & = eV & 3 2 RT N = eV & T = 2 eVN 3 R aligned

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