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Relating Relating Pressure & Pressure & VolumeVolume
Relating Relating Pressure Pressure & & VolumeVolume
Relating Relating Pressure Pressure & & VolumeVolume
Relating Relating Pressure Pressure & & VolumeVolume
Boyle’s LawBoyle’s Law
Robert Boyle
1627 - 1691
Robert Boyle
1627 - 1691
Irish
InverseInverse relationship relationship
VolumeVolumePressurePressure
What happens when you mix nascar and Nasa?
If PressureIf Pressure of a gas is of a gas is INCREASEDINCREASED @ @ constant Temperatureconstant Temperature, , Then the Then the VolumeVolume of the gas of the gas DECREASESDECREASESBoyle’s LawBoyle’s Law
If Temperature is constant then the initial product of pressure and volume will = the final product of pressure and volume!
Meaning….
P1V
1
= P2V2
101.3 kPa
202.6 kPa
V= 2 L
V= 1 L
Initial Final
=
Units??
101.3 kPa1 atm760 mmHg
Pressure
VolumeLitersml
It doesn’t matter which of those units are used as long as they are the same on both sides!!
What happens when you pick your nose too much as a child?
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?
P1V
1
= P2V21520 mmHg
22.4 L
=x x V21 atm
Pressure units are different One must be converted!
P1V
1
= P2V21520 mmHg
22.4 L
=x x V21 atm
1520mmHg 1 atm 760
mmHG
= 2 atm
P1V
1
= P2V222.4 L
=x x V21 atm2 atm
1 atm1 atm
V2 = 44.8 L
Signs that you may be cut out to be a teacher at a young age.
Charles’ LawCharles’ Law
Relating Relating Volume & Volume & TemperatureTemperature
Jacques
Charles 1746-1823 French
Charles’ LawCharles’ Law
VolumeVolume of a gas is of a gas is INCREASEDINCREASED @ @ constant Pressureconstant Pressure, , TemperatureTemperature is is INCREASEDINCREASED
DirectDirect relationship relationship
Temp.Temp.VolumeVolume
V1
T1
=V2
T2
Units??
Literml
Volume
TemperatureKelvi
nCo
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 LawGay-Lusac’s Law
Relating Relating Pressure Pressure & & TemperatureTemperature
PressurePressure of a gas is of a gas is INCREASEDINCREASED @ @ constant Volumeconstant Volume, , TemperatureTemperature is is INCREASEDINCREASEDGay-Lusac’s LawGay-Lusac’s Law
DirectDirect relationship relationship
Temp.Temp.PressurePressure
P1
T1
=P2
T2
Units??
kPa
atm
mmHg
Pressure
TemperatureKelvi
nCo
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.
P1V
1
T1
=P2V2
T2
OR
P1V1
T2
=P2V2
T1
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