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PRERNA FOR IAS
BOYLE’S LAW
1. Law Statement of Boyle’s Law
Boyle’s Law states that for a fixed mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume. This means that when the volume of a gas decreases, its pressure increases, and when the volume increases, the pressure decreases. The law was discovered by the Irish scientist Robert Boyle in the seventeenth century. Boyle’s Law applies only when the temperature and amount of gas remain constant. It helps explain the behavior of gases in closed containers and is one of the fundamental gas laws used in physics, chemistry, engineering, and many scientific applications.
2. Formula of Boyle’s Law
The mathematical expression of Boyle’s Law is P ∝ 1/V, where pressure is inversely proportional to volume. It can also be written as P₁V₁ = P₂V₂. Here, P₁ and V₁ represent the initial pressure and volume, while P₂ and V₂ represent the final pressure and volume. This equation shows that the product of pressure and volume remains constant as long as temperature does not change. If the volume of a gas becomes half, the pressure doubles. Similarly, if the volume doubles, the pressure becomes half. This formula is widely used in calculations involving gases and pressure systems.
3. Key Idea of Boyle’s Law
The central idea of Boyle’s Law is that pressure and volume have an inverse relationship. Gas particles move randomly and continuously inside a container. When the gas is compressed into a smaller space, the particles collide more frequently with the container walls. These increased collisions produce greater pressure. On the other hand, when the gas expands, the particles have more room to move, resulting in fewer collisions and lower pressure. This relationship explains why compressed gases have high pressure and expanded gases have low pressure. Understanding this concept is important for studying gas behavior in everyday life and scientific experiments.
4. Illustration: Piston or Syringe
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Boyle's Law explained: gas pressure inversely proportional to volume at constant temperature. Learn the formula P1V1=P2V2 and practical applications.
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