Question

Use Boyle's Law to solve this problem: A gas has a volume of 10.0 L at a pressure of 4.0 atm. If the gas expands to 20.0 L, what will be the new volume, assuming that there is no change in moles or temperature.

Answer 1

P₂ = 2 atm

Step-by-step explanation:

Given data:

Initial volume = 10.0 L

Initial pressure = 4.0 atm

Final volume = 20.0 L

Final pressure = ?

Solution:

The given problem will be solved through the Boly'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

4.0 atm × 10.0 L = P₂ × 20.0 L

P₂ = 40.0 atm. L/ 20.0 L

P₂ = 2 atm