At constant temperature, if a gas occupies 312 mL at a pressure of 1.60 atm, what pressure is necessary for this gas to occupy a volume of 500 mL?

P₂ = 1.0 atm

Explanation:

Boyles Law problem = > P ∝ 1/V at constant temperature (T).

Empirical equation

P ∝ 1/V = > P = k (1/V) = > k = P·V = > for comparing two different case conditions, k₁ = k₂ = > P₁V₁ = P₂V₂

Given

P₁ = 1.6 atm

V₁ = 312 ml

P₂ = ?

V₂ = 500 ml

P₁V₁ = P₂V₂ = > P₂ = P₁V₁/V₂ = 1.6 atm x 312 ml / 500ml = 1.0 atm