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Gas Laws - Charles’ Law (Temperature - Volume Relationship)

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Estimated time: 5 minutes
Maharashtra State Board: Class 11, 12
CISCE: Class 10

Law: Charles's Law

Charles' Law (Temperature–Volume Relationship)

At constant pressure (P) and number of moles (n), the volume of a gas is directly proportional to its absolute temperature.

\[V\propto T\quad\Rightarrow\quad\frac{V_1}{T_1}=\frac{V_2}{T_2}\]

The V–T curve at constant pressure is called an isobar

Absolute zero = 0 K = –273.15°C — the temperature at which gas volume theoretically becomes zero. It cannot be attained in practice (temperatures of ~0.000001 K have been achieved in labs)

or

Statement:

The volume of a fixed mass of gas is directly proportional to its absolute temperature if the pressure is kept constant.

Mathematically, V ∝ T ⇒ \[\frac {V}{T}\] = constant

Graph: V vs T (Isobar)

A straight line through the origin when using Kelvin. All lines converge at 0 K (absolute zero).

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