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: (1) P3 > P2 > P1 (2) P1 > P3 > P2 (3) P2 > P1 > P3 (4) P1 > P2 > P3

Correct Answer: D — P1 > P2 > P3Step-by-step Solution:From ideal gas law, T = (P/nR) V. On a T-V diagram, the slope of the line for a fixed pressure is P/(nR). Higher pressure gives a steeper slope. From the graph, the line with the steepest slope corresponds to P1, then P2, then P3. Thus P1 > P2 > P3.Key Concepts: Ideal gas law, isobars on T-V diagram, slope interpretation.

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