2l Sample Of Gas Was Collected At A Pressure Of 3.5 Atm. What Volume Will The Gas Have When The Pressure Is Reduced To 1.0 Atm.

2L sample of gas was collected at a pressure of 3.5 atm. what volume will the gas have when the pressure is reduced to 1.0 atm.

 

ANSWER:

The gas will have a volume of 7 L when the pressure applied is reduced to 1.0 atm.

Explantion with solution:

Gas Behavior:

According to Boyles Law, at constant temperature and number of molecules volume is inversely proportional to pressure. When volume increases, the pressure decreases. When volume decreases, the pressure applied increases.

Therefore:

P₁/P₂ = V₂/V₁

Given:

Volume₁ = 2 L

Pressure₁ = 3.5 atm

Volume₂ = Unknown

Pressure₂ = 1.0 atm

Solution:

(3.5 atm)/(1.0 atm) = V₂/(2 L)

V₂ = (3.5 atm)(2 l) / (1.0 atm)

V₂ = (7.0 atm·L) / (1.0 atm)

V₂ = 7 L

The gas will have a volume of 7 L when the pressure applied is reduced to 1.0 atm.