A fixed amount of gas at 25.0 °C occupies a volume of 10.0 L when the pressure is 751 torr. Use Boyle's law to calculate the pressure (torr)when the volume is reduced to 7.25 L at a constant temperature of 25.0 °C.

Question

Quizplus · Accepted Answer

Boyle's law states that the pressure of a gas is inversely proportional to its volume at constant temperature. Mathematically, P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.In this problem, we have P₁ = 751 torr, V₁ = 10.0 L, V₂ = 7.25 L, and T = 25.0 °C. Substituting these values into Boyle's law, we get:P₁V₁ = P₂V₂751 torr * 10.0 L = P₂ * 7.25 LP₂ = (751 torr * 10.0 L) / 7.25 LP₂ = 1040 torrTherefore, the pressure when the volume is reduced to 7.25 L is 1040 torr, which is closest to choice A, 1.04 × 10³ torr.

A Fixed Amount of Gas at 25