unit 7: gas laws boyle’s law cp chemistry. boyle’s law at constant temperature, the volume of a...
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Unit 7: Gas Laws
Boyle’s Law
CP Chemistry
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Boyle’s Law
At constant temperature, the volume of a given amount of gas varies inversely with the pressure.
P1V1 = P2V2 (Temp. and gas particles are constant)
Pressure and Volume units must be the same on both sides of the equation!
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Pressure vs Volume y = 7.5565x-0.9041
R2 = 0.9997
0
0.5
1
1.5
2
0 5 10 15 20 25
Volume (mL)
Pressu
re (
atm
)
Pressure vs Volume y = 8.3329x + 0.0994
R2 = 0.9986
0
0.5
1
1.5
2
0 0.05 0.1 0.15 0.2 0.25
Volume (1/mL)
Pressu
re (
atm
)Boyle’s Law Graph
Pressure vs. 1/volume Slope = P
1/V
PV = Constant
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Problem #1
A sample of helium gas in a balloon is compressed from 4.0L to 2.5 L at a constant temperature. If the pressure of the gas in the 4.0L volume is 2 atm, what will the pressure be at 2.5L? P1V1 = P2V2
P1= 2atm P2= ? V1= 4.0L V2= 2.5L
(2atm)(4.0L) = (P2)(2.5L)
P2 = 3.2 atm(2atm)(4.0L) = P2
(2.5L)
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Sample Problem #2A sample of carbon dioxide gas in a container is
compressed at a constant temperature. If the initial volume is 560mls and the pressure of the gas changes from 830torr to 1250 torr, what will the new volume be?
P1V1 = P2V2
P1= 830 torr P2= 1250 Torr V1= 560mL V2= ? mLs
(830torr)(560mL) = (1250torr)(V2)
V2 = (830torr)(560mL) (1250Torr)
V2 = 372 mLs
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Boyle’s Law Video
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Gas Properties link for take home lab
http://phet.colorado.edu/simulations/