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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Topic Test - Thermodynamical Processes

  • question_answer
    An ideal monoatomic gas is confined in a cylinder, fitted with piston, which is connected to spring as shown in figure. The gas is heated by a-small electric heater until the piston moves out slowly by 0.1 m. Find the work done by the gas. Spring constant = 8000 N/m,-piston area \[=8\times {{10}^{-3}}{{\text{m}}^{2}}\] atmospheric pressure \[={{10}^{5}}Pa\].              

    A) 40 J

    B) 80 J

    C) 120 J

    D) 60 J

    Correct Answer: C

    Solution :

    [c]Work done \[=\int_{0}^{{{x}_{0}}}{{{p}_{0}}Axdx}+\frac{kx_{0}^{2}}{2}\]
    \[={{p}_{0}}A{{x}_{0}}+\frac{kx_{0}^{2}}{2}=80+40=120J\]
    where p = pressure of gas, \[{{p}_{0}}=\] atmospheric pressure k = spring constant \[{{x}_{0}}=\] compression in spring.


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