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Chapter 3 States of Matter
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Kinetic Theory Kinetic means motion Three main parts of the theory All matter is made of tiny particles These particles are in constant motion and the higher the temperature, the faster they move At the same temperature, heavier particles move slower.
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Kinetic Theory are evidence of this. are evidence of this. uKinetic theory says that molecules are in constant motion. uPerfume molecules moving across the room
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Ê A Gas is composed of particles H usually molecules or atoms H Considered to be hard spheres far enough apart that we can ignore their volume. H Between the molecules is empty space. The Kinetic Theory of Gases Makes three assumptions about gases
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ËThe particles are in constant random motion. HMove in straight lines until they bounce off each other or the walls. ÌAll collisions are perfectly elastic
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The Average speed of an oxygen molecule is 1656 km/hr at 20ºC The molecules don’t travel very far without hitting each other so they move in random directions.
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Kinetic Energy and Temperature Temperature is a measure of the Average kinetic energy of the molecules of a substance. Higher temperature faster molecules. At absolute zero (0 K) all molecular motion would stop.
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States of Matter Solid- matter that has a definite shape and volume Liquid- matter that flows and has a fixed volume Gas- matter that takes up both the shape and volume of a container Vapor- a substance that is currently a gas but normally is a liquid or solid at room temperature. Plasma- matter consisting of a gaseous mixture of electrons and positive ions. Not found on Earth
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States of Matter Solid Particles are tightly packed Stuck to each other in a pattern Vibrate in place Can’t flow Constant volume
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States of Matter Liquid Particles are tightly packed Able to slide past each other Can flow Constant volume
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Liquids Spread out on their own Fluids- gases and liquids both flow Viscosity- the resistance to flow The better the molecules stick to each other, the more resistance
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States of Matter Gas Particles are spread out Flying all over the place Can flow Volume of whatever container their in
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Gases Fill the available space Particles moving at about 500 m/s Particles hitting things cause pressure
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Matter Chart Properties:SolidLiquid Gas or Vapor MassDefiniteDefiniteDefinite ShapeDefiniteIndefiniteIndefinite VolumeDefiniteDefiniteIndefinite Temp. Increase Small Expansion Moderate Expansion Large Expansion Com-Pressible?NoNoYes
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Law of Conservation of Mass In all changes, mass cannot be created or destroyed All the mass you start with you end with It might be hard to count
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Law of Conservation of Energy In all changes, energy cannot be created or destroyed All the energy you put in, you get out It might be hard to count
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Pressure Pressure is the result of collisions of the molecules with the sides of a container. Particles in a gas move rapidly in constant random motion. They travel in straight paths and move independently of each other. As a result, gases fill their containers regardless of the shape and volume
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Gas Pressure GGGGas Pressure is the force exerted by a gas over an area GGGGas Pressure is the result of simultaneous collisions of billions of rapidly moving gas particles with an object AAAA vacuum is completely empty space - it has no pressure. PPPPressure can be measured with a device called a barometer.
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Barometer At one atmosphere pressure a column of mercury 760 mm high. Dish of Mercury Column of Mercury 1 atm Pressure
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Barome ter At one atmosphere pressure a column of mercury 760 mm high. A second unit of pressure is mm Hg 1 atm = 760 mm Hg 760 mm 1 atm Pressure
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Atmospheric Pressure Gas pressure you are familiar with is that caused by a mixture of gases The Air Air exerts pressure on the Earth because gravity holds air molecules in Earth’s Atmosphere Atmospheric Pressure results from the collisions of air molecules with objects.
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Pressure is the amount of force applied to an area. Pressure Atmospheric pressure is the weight of air per unit of area. P = FAFA
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Units for Pressure SI Unit is pascal (Pa) We measure in kilopascals (kPa) Also: Millimeters of mercury (mmHg) Standard atmosphere (atm) 1 atm = 760 mmHg = 101.3 kPa
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Standard Pressure Normal atmospheric pressure at sea level. It is equal to 1.00 atm 760 torr (760 mm Hg) 101.325 kPa
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Conversion Problems 1) Tire-pressure gauge records a pressure of 450 kPa. What is the measurement expressed in A) atmospheres B) millimeters of mercury
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Conversion Problem #2 What is the pressure in Kilopascals and in atmospheres, does a gas exert at 385 mm Hg?
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Conversion Problem #3 The pressure at the top of Mount Everest is 33.7 kPa. Is the pressure greater or less than 0.25atm
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Factors Affecting Gas Pressure Number of Particles Volume Temperature
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Number of Particles Increasing the number of particles will increase the pressure of a gas if the temperature and the volume are constant Tire is inflated, volume is fairly constant Adding more air will increase the pressure More particles with same volume, greater number of collisions Greater the pressure Tire Explodes
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Volume Reducing the volume of a gas increases its pressure if the temperature of the gas and the number of particles are constant. Relationship between volume and pressure happens when you breathe
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Volume Cont. Example Inhale, diaphragm contracts This causes the chest cavity to expand Increases the volume, which allows the air particles to expand Leads to a decrease in pressure
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Volume Cont. Exhale, diaphragm relaxes Volume of chest cavity decreases Particles in the air squeeze into a smaller volume Pressure inside your lungs increases
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Temperature Raising the temperature of a gas increases the pressure if the volume is held constant. The molecules hit the walls harder. The increase in the number of collisions along with the increase in force of the collisions causes an increase in the pressure The only way to increase the temperature at constant pressure is to increase the volume.
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Calculating Gas Laws Boyle’s Law Charles’s Law Combined Gas Law
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Boyle’s Law At a constant temperature pressure and volume are inversely related. As one goes up the other goes down P x V = K(K is some constant) Easier to use P 1 x V 1 =P 2 x V 2
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1 atm 4 Liters As the pressure on a gas increases
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2 atm 2 Liters As the pressure on a gas increases the volume decreases Pressure and volume are inversely related
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P V
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A balloon is filled with 25 L of air at 1.0 atm pressure. If the pressure is change to 1.5 atm what is the new volume? A balloon is filled with 73 L of air at 1.3 atm pressure. What pressure is needed to change to volume to 43 L? Examples
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Charles’ Law The volume of a gas is directly proportional to the Kelvin temperature if the pressure is held constant. V = K x T (K is some constant) V/T= K V 1 /T 1 = V 2 /T 2
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V T
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Examples What is the temperature of a gas that is expanded from 2.5 L at 25ºC to 4.1L at constant pressure. What is the final volume of a gas that starts at 8.3 L and 290 K and is heated to 369 K?
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Boyle’s & Charles’s Problems 1) If I have 45 liters of helium in a balloon at 298K and increase the temperature of the balloon to 328K. What will the new volume of the balloon be? 2) My car has an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be the volume of the gas when the pressure goes from 1.0 atm to 1.4 atm?
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More Problems 3) If I have 5.6 L of gas in a piston at a pressure of 151.95 kPa and compress the gas until its volume is 4.8 L, what will the new pressure inside the piston be? 4) Oxygen gas is at a temperature of 310K when it occupies a volume of 2.3 liters. To what temperature should it be raised to occupy a volume of 6.5 liters?
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Gay Lussac’s Law The temperature and the pressure of a gas are directly related at constant volume. P = K x T (K is some constant) P/T= K P 1 /T 1 = P 2 /T 2
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Examples What is the pressure inside a 0.250 L can of deodorant that starts at 25ºC and 1.2 atm if the temperature is raised to 100ºC? At what temperature will the can above have a pressure of 2.2 atm?
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Putting the pieces together The Combined Gas Law Deals with the situation where only the number of molecules stays constant. (P 1 x V 1 )/T 1 = (P 2 x V 2 )/T 2 Lets us figure out one thing when two of the others change.
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Examples A 15 L cylinder of gas at 4.8 atm pressure at 25ºC is heated to 75ºC and compressed to 17 atm. What is the new volume? If 6.2 L of gas at 723 mm Hg at 21ºC is compressed to 2.2 L at 4117 mm Hg, what is the temperature of the gas?
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Phase Changes Solid Liquid Gas Melting Vaporization CondensationFreezing
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Liquid Sublimation Melting Vaporization Condensation Solid Freezing Gas
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Energy The ability change or move matter As you add energy to a liquid, the temperature goes up The molecules move faster Eventually they will move fast enough to break free and become a gas This is evaporation- the change from a liquid to gas
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Evaporation Molecules at the surface break away and become gas. Only those with enough KE escape Evaporation is a cooling process. It requires heat. Endothermic.
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Phases Changes If you change rapidly enough, the gas will form below the surface an boil Condensation- Change from gas to liquid As you cool a gas the molecules slow down As gas molecules slow down they stick together
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Condensation /Change from gas to liquid /Achieves a dynamic equilibrium with vaporization in a closed system. /What is a closed system? /A closed system means matter can’t go in or out. (put a cork in it) What the heck is a “dynamic equilibrium? ”
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Phases Changes Molecules and atoms don’t change during a phase change the composition doesn’t change The mass doesn’t change The volume does change Only the attractions and motion change
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Solid Liquid Gas Melt Evaporate Condense Freeze
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