What will the new Volume be when a gas at 4.21atm Pressure at 23.6L increases Pressure to 6.23atm? Please show work

V₂ = 15.95 L

Explanation:

Given data:

Initial pressure = 4.21 atm

Initial volume = 23.6 L

Final pressure = 6.23 atm

Final volume = ?

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

4.21 atm × 23.6 L = 6.23 atm × V₂

V₂ = 99.356 atm. L/6.23 atm

V₂ = 15.95 L