Relating Pressure & Volume
Boyle’s Law
Robert Boyle
Robert Boyle Irish
Inverse relationship VolumePressure
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If Pressure of a gas is constant Temperature, Then the Volume of the gas DECREASES Boyle’s Law
If Temperature is constant then the initial product of pressure and volume will = the final product of pressure and volume!
Meaning….
P1V1P1V1 = P2V2P2V2
101.3 kPa kPa V= 2 L V= 1 L InitialFinal =
Units?? kPa 1 atm 760 mmHg Pressure Volume Liters ml
It doesn’t matter which of those units are used as long as they are the same on both sides!!
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Practice Problem
A balloon has an initial pressure of 1520 mmHg and a volume of 22.4 Liters. After Dallin lets go of the balloon it raises to an altitude where the pressure is 1 atm. What is the new volume of the balloon?
P1V1P1V1 = P2V2P2V mmHg 22.4 L = xx V2V2 1 atm Pressure units are different One must be converted!
P1V1P1V1 = P2V2P2V mmHg 22.4 L = xx V2V2 1 atm 1520 mmHg 1 atm 760 mmHG = 2 atm
P1V1P1V1 = P2V2P2V L = xx V2V2 1 atm2 atm 1 atm V2V2 = 44.8 L
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Charles’ Law Relating Volume & Temperature
Jacques Charles French
Charles’ Law Volume of a gas is constant Pressure, Temperature is INCREASED
Direct relationship Temp.Volume
V1T1V1T1 = V2T2V2T2
Units?? Liter ml Volume Temperature Kelvin C o
It doesn’t matter which of those units are used as long as they are the same on both sides!!
Practice Problem
A balloon has an initial volume of 2 L and a temp. of 273 Kelvin. After Dallin lets go of the balloon it sits next to a light and the temp raises to 400 Kelvin.What is the new volume of the balloon?
Gay-Lusac’s Law Relating Pressure & Temperature
Pressure of a gas is constant Volume, Temperature is INCREASED Gay-Lusac’s Law
Direct relationship Temp.Pressure
P1T1P1T1 = P2T2P2T2
Units?? kPa atm mmHg Pressure Temperature Kelvin C o
It doesn’t matter which of those units are used as long as they are the same on both sides!!
If nothing is constant combine all three laws to form the combined gas law.
P1V1T1P1V1T1 = P2V2T2P2V2T2
OR
P1V1T2P1V1T2 = P2V2T1P2V2T1