Q54 / 56 · NEST (NISER) 2011 · Physics

An ideal gas initially occupies volume $V_0$ at pressure $P_0$. Its volume and pressure are changed to $2 V_0$ and $P_0 / 2$ through a certain process which is represented by a straight line on $P-V$ diagram. Which of the following statements is/are correct?

  • Correct answer
    A
    The process is represented by a parabola on the $V-T$ diagram, where $T$ represents its temperature.
  • B
    The net work done by the gas in this process is $P_0 V_0 / 4$.
  • C
    The internal energy of the gas remains constant throughout the process.
  • Correct answer
    D
    The net heat supplied to the gas in this process is more than the heat needed in an isothermal process from $\left(V_0, P_0\right)$ to $\left(2 V_0, P_0 / 2\right)$.

Hence, the correct answer is options: 'A', 'D'.

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