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Gas Laws - Boyle’s Law (Pressure - Volume Relationship)

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

Law: Boyle's Law

Boyle's Law (Pressure–Volume Relationship)

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

\[P\propto\frac{1}{V}\quad\Rightarrow\quad P_1V_1=P_2V_2\]

The p–V curve at constant temperature is called an isotherm.

or

Statement:

For a fixed mass of gas at constant temperature, the pressure is inversely proportional to the volume.

Mathematically, P ∝ \[\frac {1}{V}\] ⇒ PV = constant

Graph: P vs V (Isotherm)

Boyle's Law PV Graph showing hyperbolic isotherms

This means: squeezing a gas into a smaller space increases its pressure. Doubling the pressure halves the volume.

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