$A$ monoatomic gas does $100 J$ of work when it is expanded isobarically. How much heat is given to the gas in the process (in $J$)?

  • A
    $150$
  • B
    $200$
  • C
    $250$
  • D
    $300$

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The equation of state for a gas is given by $PV = nRT + \alpha V$,where $n$ is the number of moles and $\alpha$ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_0$ and $P_0$ respectively. The work done by the gas when its temperature doubles isobarically will be

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