A fixed amount of gas at 25.0°C occupies a volume of 10.0 L when the pressure is 667 torr.Use Boyle's law to calculate the pressure (torr)when the volume is reduced to 7.88 L at a constant temperature of 25.0°C. A)846 torr B)0.118 torr C)5.26 × 10⁴ torr D)526 torr E)1.11 torr

Question

Quizplus · Accepted Answer

According to Boyle's law, at a constant temperature, the pressure and volume of a fixed amount of gas are inversely proportional. Mathematically, it can be represented as:

P₁V₁ = P₂V₂

where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

Plugging in the given values:

P₁ = 667 torr
V₁ = 10.0 L
V₂ = 7.88 L
T = 25.0°C

we can solve for P₂:

P₂ = (P₁V₁)/V₂ = (667 torr x 10.0 L)/7.88 L ≈ 846 torr

Therefore, the answer is choice A) 846 torr.

A Fixed Amount of Gas at 25