Question

A student measures the pressure and volume of an empty water bottle to be 1.4 atm and 2.3 L. She then decreases the pressure to 0.65 atm. What is the new volume?

Answer 1

The new volume is 5.0L

Step-by-step explanation:

Given:

Initial pressure (P₁) = 1.4 atm

Initial volume (V₁) = 2.3 L

Final pressure (P₂) = 0.65 atm

We'll use Boyle's Law:

P₁V₁ = P₂V₂

Substituting the given values:

(1.4 atm)(2.3 L) = (0.65 atm)(V₂)

Now, let's solve for V₂:

V₂ = (1.4 atm * 2.3 L) / 0.65 atm

Calculating this expression step-by-step:

V₂ = (3.22 atm·L) / 0.65 atm

V₂ ≈ 4.953 L

Rounded to one decimal place, the new volume is approximately 5.0 L.