The following graph represents the T-V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P₁, P₂ and P₃ compared with those of Charles's law represented as dotted lines. Then the correct relation is: (a) P₃ > P₂ > P₁ (b) P₁ > P₃ > P₂ (c) P₂ > P₁ > P₃ (d) P₁ > P₂ > P₃

Answer: (d). Charles's law: V = nR/PT ⇒ T = (P/nR)V, so slope of the T – V line ∝ P. Dotted line for P₁ is steepest, then P₂, then P₃. So the answer is (d) P₁ > P₂ > P₃.

The following graph represents the T-V curves of an ideal gas (where… | NEET 2024

Q34NEET 2024Medium

Gas Laws & Ideal Gas Equation

The following graph represents the $T\text{-}V$ 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.

Then the correct relation is:

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Answer: (d)

Charles's law: $V = \dfrac{nR}{P}T \Rightarrow T = \left(\dfrac{P}{nR}\right)V$ , so slope of the $T$ – $V$ line $\propto P$ .
Dotted line for $P_1$ is steepest, then $P_2$ , then $P_3$ .
So the answer is (d) $P_1 > P_2 > P_3$ .

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