At 3 atm of pressure, a cylinder with a movable piston contains 2000 ml of gas. If the pressure is increased to 8 atm and the temperature remains unchanged, what is the new volume of the
gas?

V₂ = 750 mL

Explanation:

Given data:

Initial pressure = 3 atm

Initial volume = 2000 mL

Final pressure = 8 atm

Final volume = ?

Solution:

The given problem will be solved through the Boyle's law,

"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"

Mathematical expression:

P₁V₁ = P₂V₂

P₁ = Initial pressure

V₁ = initial volume

P₂ = final pressure

V₂ = final volume  

Now we will put the values in formula,

P₁V₁ = P₂V₂

3 atm × 2000 mL = 8 atm × V₂

V₂ =6000 atm. mL / 8atm

V₂ = 750 mL