Learning Boyle's Law through solving this simple question :)
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?
Boyle's Law =Boyle–Mariotte law
Definition : states that the absolute pressure and volume of a given mass of a confined gas are inversely proportional, if the temperature remains unchanged within a closed system.
The law itself can be stated as follows: for a fixed amount of an ideal gas kept at a fixed temperature, P (pressure) and V (volume) are inversely proportional (when one doubles, the other halves).
Boyle's Law states that for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional.
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Since the temperature does not change, Boyle's law can be used. Boyle's gas law can be expressed as: Pi Vi = Pf Vf
where Pi = initial pressure Vi = initial volume Pf = final pressure Vf = final volume
To find the final volume, solve the equation for Vf: Vf = Pi Vi / 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 Vf = 12 L