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Boyle's Law states that at constant temperature, pressure is inversely proportional to volume.

P₁ = 1.01 atm
V₁ = 3.00 liters
P₂ = ?
V₂ = 6.00 liters

    P₁V₁ = P₂V₂

Derive the equation for P₂:
     \frac{P _{2}V _{2}  }{V _{2} } = \frac{P _{1}V_{1}  }{V _{2} }

    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!


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