Q143 / 200 · NEET 2024 · Physics

The following graph represents the $T$ - $V$ curves of an ideal gas (where $T$ is the temperature and $V$ the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines. Figure
Then the correct relation is:

  • A
    $P_1\gtP_3\gtP_2$
  • B
    $P_2\gtP_1\gtP_3$
  • Correct answer
    C
    $\quad P_1\gtP_2\gtP_3$
  • D
    $P_3\gtP_2\gtP_1$

Solution

At same temperature, curve with higher volume corresponds to lower pressure. $\begin{aligned} & V_3\gtV_2\gtV_1 \\ & \Rightarrow P_1\gtP_2\gtP_3 \end{aligned}$ (We draw a straight line parallel to volume axis to get this)

Hence, the correct answer is option: 'C'.

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