If you have a gas sample with an initial pressure of 4 atm and a volume of 550 L, what will the final volume be if you change the pressure to 2.3 atm?

V₂ = 956.52 L

Explanation:

Given data:

Initial pressure = 4 atm

Initial volume = 550 L

Final volume = ?

Final pressure = 2.3 atm

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

4 atm × 550 L = 2.3 atm × V₂

V₂ = 2200 atm. L/ 2.3 atm

V₂ = 956.52 L