Boyle's Law

📊 beginner

$$P_1V_1 = P_2V_2$$

States that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.

Variables & Units

$P_1, P_2$

Initial and Final Pressure

Unit: Pascal ($Pa$) or atm

$V_1, V_2$

Initial and Final Volume

Unit: Cubic meter ($m^3$) or Liter ($L$)

Key Information

📐 Derived From

Simplified Ideal Gas Law where $n$ and $T$ are constant.

💡 Example

Determining the volume of a gas when the pressure is doubled.

🔧 Applications

Scuba diving (lung over-expansion) and syringe operation.

⚠️ Constraints

Constant temperature and constant amount of gas.

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