Question

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?

Answer 1

40 atm

Step-by-step 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