Medium MCQ +4 / -1 PYQ · JEE Mains 2022

Given below are two statements :

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II : The rms speed of oxygen molecules in a gas is $v$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2 v$.

In the light of the above statements, choose the correct answer from the options given below :

  1. A Both Statement I and Statement II are true
  2. B Both Statement I and Statement II are false
  3. C Statement I is true but Statement II is false
  4. D Statement I is false but Statement II is true Correct answer

Solution

<p>Average momentum $= \left\langle {\overrightarrow P } \right\rangle = 0$</p> <p>${v_{rms}} = \sqrt {{{3RT} \over M}}$</p> <p>If temperature is doubled and oxygen atoms are used then</p> <p>$v{'_{rms}} = \sqrt {{{3R(2T)} \over {M/2}}} = 4\,{v_{rms}}$</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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