2. Questions Bank
  3. JEE Main & Advanced
  4. Physics
  5. Kinetic Theory of Gases

JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    A gas mixture consists of molecules of type 1, 2 and 3, with molar masses \[{{m}_{1}}>{{m}_{2}}>{{m}_{3}}.{{v}_{rms}}\] and \[\bar{K}\] are the r. m. s. speed and average kinetic energy of the gases. Which of the following is true?

    A) \[{{({{v}_{rms}})}_{1}}<{{({{v}_{rms}})}_{2}}<{{({{v}_{rms}})}_{3}}\] and \[{{(\bar{K})}_{1}}={{(\bar{K})}_{2}}={{(\bar{K})}_{3}}\]

    B) \[{{({{v}_{rms}})}_{1}}={{({{v}_{rms}})}_{2}}={{({{v}_{rms}})}_{3}}\]and \[{{(\bar{K})}_{1}}={{(\bar{K})}_{2}}>{{(\bar{K})}_{3}}\]

    C) \[{{({{v}_{rms}})}_{1}}>{{({{v}_{rms}})}_{2}}>{{({{v}_{rms}})}_{3}}\] and \[{{(\bar{K})}_{1}}<{{(\bar{K})}_{2}}>{{(\bar{K})}_{3}}\]

    D) \[{{({{v}_{rms}})}_{1}}>{{({{v}_{rms}})}_{2}}>{{({{v}_{rms}})}_{3}}\]and \[{{(\bar{K})}_{1}}<{{(\bar{K})}_{2}}<{{(\bar{K})}_{3}}\]

    Correct Answer: A

    Solution :

    [a] \[{{v}_{rms}}\propto \frac{1}{\sqrt{M}}\Rightarrow {{({{v}_{rms}})}_{1}}<{{({{v}_{rms}})}_{2}}<{{({{v}_{rms}})}_{3}}\] Also in mixture temperature of each gas will be same, hence kinetic energy also remains same.


You need to login to perform this action.
You will be redirected in 3 sec spinner