Boyle's Law: Gas Volume and Pressure Relationship

What is Boyle's Law?

Boyle's Law states that at a constant temperature the pressure of a given mass of an ideal gas is inversely proportional to its volume. How does this law apply to changes in gas volume and pressure?

Answer:

Boyle's Law can be expressed as: P₁V₁ = P₂V₂. This means that the product of the pressure and volume of a gas at one state is equal to the product of the pressure and volume at another state.

Boyle's Law is an essential principle in the field of gas laws. It explains the relationship between the volume and pressure of a gas. According to Boyle's Law, when the pressure of a gas is increased, its volume decreases proportionally, and vice versa, as long as the temperature remains constant.

Mathematically, Boyle's Law can be represented as:

P₁V₁ = P₂V₂

Where:

P₁ = initial pressure

V₁ = initial volume

P₂ = final pressure

V₂ = final volume

When applying Boyle's Law to the given data, we can calculate the final volume of the gas when the pressure changes from 546 mm Hg to 652 mm Hg:

P₁ = 546 mm Hg, V₁ = 350.0 mL

P₂ = 652 mm Hg, V₂ = ???

By using the formula V₂ = (P₁V₁) / P₂, we find that the gas occupies 293.1 mL at 652 mm Hg pressure.