Which of the following statement(s) (are) correct regarding the root mean square speed U r m s and average…

Which of the following statement(s) (are) correct regarding the root mean square speed Urms and average translational kinetic energy εav of a molecule in a gas at equilibrium?
  1. Urms is doubled when its temperature is increased four times
  2. εav at a given temperature does not depend on its molecular mass
  3. Urms is inversely proportional to the square root of its molecular mass
  4. εav is doubled when its temperature is increased four times

Solution

Urms=3RTM, Eav=32RT
If temperature is made 4 times, Urms between twice.
Avg. kinetic energy (Fav) is independent of molecular man at a given temperature,
Urms inversely proportional to the square not of molecular mass.

Asked in: JEE Advanced 2019 (Paper 1)

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