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

  • question_answer
    Two moles of ideal helium gas are in a rubber balloon at \[30{}^\circ C.\] The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to \[35{}^\circ C.\] The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol. K)

    A) 62 J

    B) 104 J

    C) 124 J

    D) 208 J

    Correct Answer: D

    Solution :

    [d] The heat is supplied at constant pressure. Therefore, \[Q=n{{C}_{p}}\Delta t\] \[=2\left[ \frac{5}{2}R \right]\times \Delta t=2\times \frac{5}{2}\times 8.31\times 5=208J\] \[\left( \therefore {{C}_{p}}=\frac{5}{2}R\text{ for mono-atomic gas} \right)\]


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