The Boyle's Law formula: P1V1 = P2V2 explained with examples

📚 Boyle's Law Explained

Boyle's Law describes the relationship between the pressure and volume of a gas when the temperature and amount of gas are kept constant. In simple terms, as the volume of a gas decreases, the pressure increases proportionally, and vice versa. This relationship is expressed by the formula $P_1V_1 = P_2V_2$.

Quick Study Guide

• 🔍 Boyle's Law states that for a fixed amount of gas at constant temperature, pressure and volume are inversely proportional.
• 🧪 The formula is: $P_1V_1 = P_2V_2$, where $P_1$ and $V_1$ are the initial pressure and volume, and $P_2$ and $V_2$ are the final pressure and volume.
• 🔢 Units for pressure (P) can be atmospheres (atm), Pascals (Pa), or mmHg, and units for volume (V) can be liters (L) or cubic meters (m³).
• 💡 Ensure that the units for pressure are consistent on both sides of the equation, and the units for volume are also consistent on both sides.
• 📝 Boyle's Law is applicable only when the temperature and the number of moles of gas are constant.

Practice Quiz

1. A gas occupies a volume of 10L at a pressure of 2 atm. If the pressure is increased to 4 atm while keeping the temperature constant, what is the new volume?
   1. 5L
   2. 10L
   3. 20L
   4. 40L
2. According to Boyle's Law, if the volume of a gas is doubled, what happens to the pressure?
   1. It doubles
   2. It halves
   3. It remains the same
   4. It quadruples
3. A balloon has a volume of 5L at standard atmospheric pressure (1 atm). If the pressure is increased to 3 atm, what is the new volume, assuming the temperature remains constant?
   1. 1.67L
   2. 5L
   3. 10L
   4. 15L
4. Which of the following conditions must be kept constant for Boyle's Law to be applicable?
   1. Pressure
   2. Volume
   3. Temperature and amount of gas
   4. Pressure and volume
5. A container of gas has a volume of 2L and a pressure of 6 atm. If the volume is increased to 4L, what is the new pressure?
   1. 3 atm
   2. 6 atm
   3. 12 atm
   4. 24 atm
6. If the pressure on a gas is reduced from 10 atm to 2 atm, by what factor does the volume increase, assuming constant temperature?
   1. 2
   2. 5
   3. 10
   4. 20
7. A gas occupies 3L at 2 atm. What volume will it occupy at 1 atm, assuming constant temperature?
   1. 1.5L
   2. 3L
   3. 6L
   4. 9L