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PhysicsNEET 2024Ideal gas equation and kinetic interpretation of pressure

Kinetic Theory

The following graph represents the TT–VV curves of an ideal gas (where TT is the temperature and VV the volume) at three pressures P1P_1, P2P_2 and P3P_3, compared with those of Charles's law represented as dotted lines. Then the correct relation is:

Question 47 as printed in the NEET 2024 booklet

  1. A.P1>P3>P2P_1 > P_3 > P_2
  2. B.P2>P1>P3P_2 > P_1 > P_3
  3. C.P1>P2>P3P_1 > P_2 > P_3✓
  4. D.P3>P2>P1P_3 > P_2 > P_1

Solution

For an ideal gas at fixed pressure, V=nRPTV = \frac{nR}{P}T: the TT–VV line through the origin has slope ∝1P\propto \frac{1}{P}, so the steepest line corresponds to the lowest pressure. Reading the slopes in the figure gives P1>P2>P3P_1 > P_2 > P_3.

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