27.7 L of Krypton gas (Kr) is under a pressure of 70692 torr. The pressure of the gas is decreased to 58775 torr. What is the new volume of the krypton gas?

V₂ = 33.32 L

Explanation:

Given data:

Initial volume = 27.7 L

Initial pressure = 70692 torr

Final pressure = 58775 torr

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

70692 torr × 27.7 L = 58775 torr × V₂

V₂ = 1958168.4 torr.L/ 58775 torr

V₂ = 33.32 L