Boyle's/Mariotte's Law:
Boyle's law states that the volume of a gas increases when the pressure decreases at a
constant temperature.
Boyle's/Mariotte's Law Formula :
Gas Equation: PiVi = PfVf
Initial Pressure(Pi) = PfVf / Vi
Initial Volume(Vi) = PfVf / Pi
Final Pressure(Pf) = PiVi / Vf
Final Volume(Vf) = PiVi / Pf
where,
Pi = Initial Pressure,
Vi = Initial Volume,
Pf = Final Pressure,
Vf = Final Volume.
Boyle's/Mariotte's Law Example:
Case 1: A certain amount of gas contains a volume of 4 L at 100 kPa pressure. Find the pressure of the gas if it occupies in
15 L container.
Pi = 100 kPa, Vi = 4 L, Vf = 15 L
Step 1: Substitute the values in the below final pressure equation:
Final Pressure(Pf) = PiVi / Vf
= (100 x 4) / 15
= 400 / 15
Final Pressure(Pf) = 26.67 kPa
This example will guide you to calculate the final pressure manually.
Case 2: Find the final volume of gas, from 8 L of gas at 150 kPa until the pressure becomes 125 kPa.
Pi = 150 kPa, Vi = 8 L, Pf = 125 kPa
Step 1: Substitute the values in the below volume equation:
Final Volume(Vf) = PiVi / Pf
= (150 x 8) / 125
= 1200 / 125
Final Volume(Vf) = 9.6 L
This example will guide you to calculate the volume manually.
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