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Unit 7: Gas Laws. Boyle’s Law CP Chemistry. Boyle’s Law. At constant temperature, the volume of a given amount of gas varies inversely with the pressure. P 1 V 1 = P 2 V 2 (Temp. and gas particles are constant). Pressure and Volume units must be the same on both sides of the equation!.
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Unit 7: Gas Laws Boyle’s Law CP Chemistry
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!
Boyle’s Law Graph Pressure vs. 1/volume Slope = P 1/V PV = Constant
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)
Sample Problem #2 • A 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
Gas Properties link for take home lab • http://phet.colorado.edu/simulations/