Answer :
Final answer:
According to Boyle's Law, the pressure and volume of a gas are inversely proportional. Using Boyle's Law equation, the new volume can be calculated as (97.8 kPa * 8.00 mL) / 125 kPa = 6.24 mL.
Explanation:
The relationship between pressure and volume is described by Boyle's Law, which states that for a given amount of gas at a constant temperature, the pressure and volume are inversely proportional. This can be expressed mathematically as P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
Using this equation, we can solve for the new volume. Let's denote the initial pressure as 97.8 kPa and the initial volume as 8.00 mL, and the final pressure as 125 kPa. We can rearrange the equation as V₂ = (P₁V₁) / P₂ to solve for the new volume. Substituting the given values:
V₂ = (97.8 kPa * 8.00 mL) / 125 kPa
V₂ = 6.24 mL
Therefore, the new volume is 6.24 mL.