A gas has a volume of 25.0 mL at 2.50 atm. What is the volume at 457 mmHg if the temperature remains constant?

≈ 0.104 liters  

Explanation:

We can use Boyle's Law:

P₁ = 2.50 atm

V₁ = 25.0 mL

P₂ = 457 mmHg

V₂ = ?

Because pressure should be in atm we will convert 457 mmHg to units in atm:

1 atm = 760mmHg so we can divide 457 by 760 and we get ≈ 0.601atm

Next we can plug in the units to the equation for Boyle's Law:

(2.50)(25.0) = (0.601)(V₂)

Solve for V₂

V₂ will give you ≈ 104mL or 0.104L

Either is correct depending on which unit they are asking you to use