The volume of a gas is 200.0 mL and the pressure is 2.00 atm. When the volume of the gas is 10 mL what is the pressure if the temperature remains the same?

40 atm

Explanation:

Boyles law states that the pressure exerted on a gas is inversely proportional to the volume it occupies provided that the temperature is held constant. It is given by:

P ∝ 1/V

PV = constant

P₁V₁ = P₂V₂

Given that V₁ = initial volume = 200 ml, P₁ = initial pressure = 2 atm, V₂ = final  volume = 10 ml, P₂ = final pressure. Hence:

2 atm * 200 ml = P₂ * 10 ml

P₂ = (2 atm * 200 ml) / 10 ml

P₂ = 40 atm