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Boyle’s Law. y = A / x. Pressure = A Volume. PV = constant. P 1 V 1 = P 2 V 2. ↑ P ↓ V. Inverse relationship. ↓P ↑V. Practice Problem A gas occupies a volume of 3.86 L at 0.750 atm . At what pressure will the volume be 4.86 L ?. V 1. P 1. ? P 2. V 2. - PowerPoint PPT Presentation
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P1V1 = P2V2
y = A / x
Pressure = A Volume
PV = constant
Boyle’s Law
Inverse relationship ↑P ↓V
↓P ↑V
Practice Problem
A gas occupies a volume of 3.86 L at 0.750 atm.At what pressure will the volume be 4.86 L?
V1 P1
? P2 V2
P1V1 = P2V2
(0.750 atm)(3.86 L) = P2(4.86 L)
(0.750 atm)(3.86 L) = P2
(4.86 L) = 0.596 atm
Charles’Law
V1 = V2
T1 T2 K = 0C + 273
V = constant
T
y = mx + b
Direct relationship
↑T ↑V
-273
Practice Problem
A 4.50 L container of nitrogen gas at 28.0 0C is heated to 56.0 0C. Assuming the volume of the container can vary, what is the new volume of the gas?
V1
? V2
T1
T2
V1 = V2
T1 T2 K = 0C + 273
4.50 L = V2
301 K 329 K V2 = 4.92 L
-273 0C
Gay-Lussac’s Lawy = mx + b
P1 = P2
T1 T2
P = constant
T
Direct relationship
K = 0C + 273
↑T ↑P
Practice Problem
A gas cylinder contains 40.0 L of gas at 45.0 0C and has a pressure of 650. torr. What will the pressure be if the temperature is changed to 100. 0C?
T1
T2P1
? P2
P1 = P2
T1 T2 K = 0C + 273
650. torr = P2 318 K 373 K
P2 = 762 torr
P, V PV = constantP, T P = constant
TV, T V = constant
T
Combined Gas LawPV = constant T
P1V1 = P2V2
T1 T2
K = 0C + 273
STP = Standard Temperature & Pressure1 atm00C, 273 K
Practice Problem
15.00 L of gas at 45.0 0C and 800. torr is heatedto 400.0C, and the pressure changed to 300. torr.What is the new volume?
V1
? V2
T1
T2
P2
P1
P1V1 = P2V2 T1 T2
K = 0C + 273
(800. torr)(15.00 L) = (300. torr) V2 318 K 673 K
V2 = 84.7 L
Practice Problem
To what temperature must 5.00 L of oxygen at 50. 0C and 600. torr be heated in order to have a volume of 10.0 L and a pressure of 800. torr?
T1
? T2 V1
P1 P2V2
P1V1 = P2V2 T1 T2
K = 0C + 273
(600. torr)(5.00 L) = (800. torr)(10.0 L) 323 K T2
T2 = 861 K = 588 0C
Do problems: 1 & 2 pg 4434-6 pg 4468 & 9 pg 44811& 12 pg 450
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