Anglo-Irish chemist Robert Boyle (1627–1691) discovered the law and for it he is considered the first modern chemist. This example problem uses Boyle's law to find the volume of gas when pressure changes.
A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres. If the pressure is reduced to 0.5 atmospheres without a change in temperature, what would be the volume of the balloon?
To find the final volume, solve the equation for Vf:
Vf = PiVi/Pf
Vi = 2.0 L
Pi = 3 atm
Pf = 0.5 atm
Vf = (2.0 L) (3 atm) / (0.5 atm)
Vf = 6 L / 0.5 atm
Vf = 12 L
Answer:
The volume of the balloon will expand to 12 L.
Boyle's Law Example Problem
Solution
Since the temperature doesn't change, Boyle's law can be used. Boyle's gas law can be expressed as:
PiVi = PfVf
where
Pi = initial pressure
Vi = initial volume
Pf = final pressure
Vf = final volume
Since the temperature doesn't change, Boyle's law can be used. Boyle's gas law can be expressed as:
PiVi = PfVf
where
Pi = initial pressure
Vi = initial volume
Pf = final pressure
Vf = final volume
To find the final volume, solve the equation for Vf:
Vf = PiVi/Pf
Vi = 2.0 L
Pi = 3 atm
Pf = 0.5 atm
Vf = (2.0 L) (3 atm) / (0.5 atm)
Vf = 6 L / 0.5 atm
Vf = 12 L
Answer:
The volume of the balloon will expand to 12 L.
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