NEET 2024 — Physics solution

NEET2024Physics

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.

A
$P_{2} > P_{1} > P_{3}$
B
$P_{1} > P_{2} > P_{3}$
C
$P_{3} > P_{2} > P_{1}$
D
$P_{1} > P_{3} > P_{2}$

Solution

From $P V = n R T$ , at fixed $V$ , larger slope $T / V = P / (n R)$ means larger $P$ .

The steeper the $T$ - $V$ line, the higher the pressure. From the figure, $P_{1}$ is steepest, then $P_{2}$ , then $P_{3}$ .

$∴ P_{1} > P_{2} > P_{3}$ .

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