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

  • question_answer
    One mole of an ideal monatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant temperature. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required is

    A) 238 J

    B) 126 J

    C) 210 J  

    D) 350 J

    Correct Answer: B

    Solution :

    [b] \[{{Q}_{p}}=\mu {{C}_{P}}\Delta T\] and \[{{Q}_{v}}=\mu {{C}_{v}}\Delta T\] \[\Rightarrow \frac{QV}{QP}=\frac{CV}{CP}=\frac{\frac{3}{2}R}{\frac{5}{2}R}=\frac{3}{5}\] \[\left[ \therefore {{\left( CV \right)}_{mono}}=\frac{3}{2}R,{{({{C}_{P}})}_{mono}}=\frac{5}{2}R \right]\] \[\Rightarrow QV=\frac{3}{5}\times (\Delta Q)P=\frac{3}{5}\times 210=126J\]


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