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JEE Advanced2019ChemistryStates of MatterActual

Which of the following statement(s) (are) correct regarding the root mean square speed U r m s and average translational kinetic energy ε a v of a molecule in a gas at equilibrium?

Options

  1. AU r m s is doubled when its temperature is increased four times
  2. Bε a v at a given temperature does not depend on its molecular mass
  3. CU r m s is inversely proportional to the square root of its molecular mass
  4. Dε a v is doubled when its temperature is increased four times

Correct answer

A. U r m s is doubled when its temperature is increased four times

Step-by-step solution

U rms = 3RT M , E av = 3 2 RT If temperature is made 4 times, U rms between twice. Avg. kinetic energy ( F av ) is independent of molecular man at a given temperature, U rms inversely proportional to the square not of molecular mass.

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