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

  • question_answer
    A closed hollow insulated cylinder is filled with gas at \[0{}^\circ C\]and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to \[100{}^\circ C.\]If the piston moves 5 cm, the length of the hollow cylinder is

    A) 13.65 cm

    B) 27.3 cm

    C) 38.6 cm

    D) 64.6 cm

    Correct Answer: D

    Solution :

    [d] Using Charle's law, we have \[\frac{V}{T}=\] constant \[\Rightarrow \frac{\frac{l}{2}+5}{373}=\frac{\frac{l}{2}-5}{273}\] As the piston moves 5 cm, the length of one side will be \[\left( \frac{l}{2}+5 \right)\] and other side\[\left( \frac{l}{2}-5 \right)\]. On solving this equation, we get  \[l=64.6\text{ }cm.\]


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