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Question

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.

Then the correct relation is:

Options

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

Sol. [Key Concept: T–V curves identifying the thermodynamic process]

At same temperature, curve with higher volume corresponds to lower pressure.

$${V_{3} > V_{2} > V_{1} }{\Rightarrow P_{1} > P_{2} > P_{3} }$$(We draw a straight line parallel to volume axis to get this)

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