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AFMC AFMC Solved Paper-2006

  • question_answer
    We consider a thermodynamic system. If \[\Delta U\] represents the increase in its internal energy and IV the work done by the system, which of the following statements is true?

    A) \[\Delta U\] = - W in an adiabatic process

    B) \[\Delta U\] = W in an isothermal process

    C) \[\Delta U\] = - W in an isothermal process

    D) \[\Delta U\] = W in an adiabaitc process

    Correct Answer: A

    Solution :

    An isothermal  process  is  a  constant temperature process. In this process, \[T=\text{cosntant}\]or \[\Delta T=0.\] \[\therefore \]    \[\Delta U=n{{C}_{v}}\Delta T=0\] An adiabatic process is defined as one with no heat transfer into or out of a system. Therefore,        \[Q=0\] From first law of thermodynamics            \[W=-\Delta U\] or      \[\Delta U=-W\]


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