Answer:Boyle's Law: Mathematical Expression and Conditions 2. Mathematical Expression of Boyle's Law: The mathematical expression of Boyle's Law is: P₁V₁ = P₂V₂ Where: - P₁ is the initial pressure of the gas- V₁ is the initial volume of the gas- P₂ is the final pressure of the gas- V₂ is the final volume of the gas 3. Conditions for Boyle's Law to Apply: Boyle's Law applies under the following conditions: - Constant Temperature: The temperature of the gas must remain constant throughout the experiment.- Fixed Amount of Gas: The quantity of gas must remain constant. This means no gas is added or removed from the system.- Ideal Gas Behavior: Boyle's Law is an ideal gas law, meaning it works best for gases that behave ideally. Real gases can deviate from this behavior at high pressures and low temperatures.