JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Mock Test - Kinetic Theory of Gases and Laws of Thermodynamics

  • question_answer
    A certain mass of an ideal diatomic gas contained in a closed vessel is heated; it is observed that the temperature remains constant; however, half the amount of gas gets dissociated; the ratio of the heat supplied to the gas initial internal energy of the gas will be

    A) 1:2                   

    B) 1 : 4

    C) 1 :5                 

    D) 1 : 10

    Correct Answer: D

    Solution :

    [d] \[{{U}_{1}}=n\left( \frac{5R}{2} \right)T\] \[And\text{ }{{U}_{2}}=\frac{2}{n}\left( \frac{5R}{2} \right)T+\frac{2n}{2}\left( \frac{3R}{2} \right)T=n\left( \frac{11R}{4} \right)T\] \[{{U}_{2}}={{U}_{1}}+Q\] \[\therefore \frac{Q}{{{U}_{1}}}=\frac{{{U}_{2}}}{{{U}_{1}}}-1=\frac{11}{10}-1=\frac{1}{10}\]


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