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Kinetic Theory
Charles's Law (Isobaric T-V Graphs)
1 question from 1 paper, each with its answer.
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Concepts tested
- Comparing isobars on a T-V graph
All Questions
2024 1 question
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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.
From the ideal gas equation $PV = nRT$: $T = \left(\frac{P}{nR}\right)V$, i.e. $T \propto V$ with slope $\frac{P}{nR}$ So a steeper T-V line corresponds to a higher pressure. From the graph, the $P_1$ curve is steepest and $P_3$ is least steep. So $P_1 > P_2 > P_3$.