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 P1, P2 and P3 compared with those of Charles's law represented as dotted lines.
Then the correct relation is :
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 :
Then the correct relation is :
Updated On: Dec 9, 2024
- P3 > P2 > P1
- P1 > P3 > P2
- P2 > P1 > P3
- P1 > P2 > P3
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The Correct Option is D
Solution and Explanation
According to the ideal gas law:
$PV = nRT \implies V = \frac{nRT}{P}$.
For a fixed number of moles, $V \propto \frac{T}{P}$. At a given temperature, as pressure increases, the slope of the $T-V$ curve (from the origin) decreases.
Thus:
$P_1 > P_2 > P_3$ (higher pressure corresponds to a steeper curve).
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