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

  • question_answer
    Helium gas is filled in a closed vessel (having negligible thermal expansion coefficient) when it is heated from 300 K to 600 K, then average kinetic energy of helium atom will be

    A) \[\sqrt{2}\] times

    B) 2 times

    C) unchanged

    D) half

    Correct Answer: B

    Solution :

    [b] Average K.E.\[=\frac{1}{2}m{{c}^{2}}=\frac{3}{2}kT\]3 \[\therefore \frac{{{\left( \text{Av}\text{. K}\text{.E}\text{.} \right)}_{600K}}}{{{\left( \text{Av}\text{. K}\text{.E}\text{.} \right)}_{400K}}}=\frac{600}{300}=2\] \[\therefore \]At 600K it will be 2 times than that at 300K.


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