# A scuba driver needs a diving tank in order to provide breathing gas while he is underwater. How much pressure is needed for 6.00 liters of gas at 1.01 atm to be compressed in a 3.00 liter cylinder

1
by wenzki

Log in to add a comment

by wenzki

Log in to add a comment

Given:

P₁ = 1.01 atm

V₁ = 3.00 liters

P₂ = ?

V₂ = 6.00 liters

Equation:

P₁V₁ = P₂V₂

Derive the equation for P₂:

P₂ = (P₁V₁) ÷ V₂

P₂ = [(1.01 atm) (3.00 liters)] ÷ 6.00 liters

P₂ = (3.03 atm·liters) ÷ 6.00 liters

ANALYSIS: The law states that pressure is inversely proportional to volume. When the volume increases, the pressure decreases. When the volume decreases, the pressure increases. At constant temperature, when the

Motivation: Since you are already armed with Boyle's Law, you are now confident to recite in your class. Have a blessed and productive day!