Question

A gas occupies a volume of 2.4 L at 14.1 kPa. What volume will the gas occupy at 84.6 kPa?

Answer 1

Answer:

• 0.40 L

Explanation:

Boyle's law for gases states that, at constant temperature, the volume and pressure of a fixed amount of gas are inversely related.

Mathematically, that is:

• PV = constant

• P₁V₁ = P₂V₂

Here, you have:

• V₁ = 2.4 L

• P₁ = 14.1 Kpa

• P₂ = 84.6 KPa

• V₂ = ?

Then, you can solve for V₂:

• V₂ = P₁V₁ / P₂

Substitute and compute:

• V₂ = 14.1 KPa × 2.4L / 84.6 KPa = 0.40 L ← answer