# 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

• Brainly User
2016-02-24T08:42:34+08:00
Boyle's Law states that at constant temperature, pressure is inversely proportional to volume.

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

P₂ = 0.505  atm    (follow the rule in significant digits)

ANSWER:  A pressure of 0.505 atm is needed for 6.00 liters of gas.

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 volume increases from 3.00 liters to 6.00 liters, the pressure decreases from 1.01 atm to 0.505 atm.  This is your conclusion to the given problem.

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!