Pf = Final Pressure
Vi = Initial Volume
Vf = Final Volume.
Analyze what are the parameters given in the problem and what is the Unknown quantity.
Step 2 :
Using the formula
Pi Vi = Pf Vf
Where Pi = Initial Pressure
Pf = Final Pressure
Vi = Initial Volume
Vf = Final Volume.
Substituting the known any of the three quantities in the above formula, we get the Unknown quantity.
If a gas occupies 76ml at 760 mm pressure.Using boyle's Law, determine the volume of the gas at the same temperature but at 76 mm pressure?
Step 1 :Given: Pi = 760 mm,
Vi = 76 ml,
Pf = 76 mm
Vf = ?
Step 2 :Pi Vi = Pf Vf
Vf = $\frac{P_{i} V_{i}}{P_{f}}$
= $\frac{760 mm \times 76 ml}{ 76 mm}$
Answer :0.760 litres.
A particular balloon is designed by its manufacturer to be inflated to a volume of no more than 2.5 L. If the balloon is filled with 2.0 L of helium at sea level, is released, and rises to an altitude at which the atmospheric pressure is only 500 mm Hg, will the balloon burst? (Assume temperature to be constant).
Step 1 :At sea level,
P1 = 1 atm = 760 mm of Hg P2 = 500 mm of Hg
V1 = 2 L V2 =?
Step 2 :Using formula, P1 V1 = P2 V2
V2 = $\frac{P_{1} \times V_{1}}{P_{2}}$
= $\frac{760 \times 2}{500}$
Answer :3 Litres