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Get a notes sheet and homework packet off front table HMWK:
Wednesday… Get a notes sheet and homework packet off front table HMWK: *Work on HP part 4 due 11/15 with rubric attached * Print and complete remediation guide if you want to retest Unit 5 tomorrow
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Gas Laws Unit 6
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Gases No definite shape or volume Easily compressible
Kinetic Theory of Matter - All particles are moving all the time. Gases
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What do we know about gas particles?
Can be either molecules or atoms; e.g. He, O2, C3H8 Very far apart from one another. Between particles is empty space. No attractive or repulsive forces between particles. Move randomly. Move at high speeds (O2 at 20oC moves at 1700 km/h). Travel in straight paths. Only change direction when collide with another particle/object. Collide elastically (no kinetic energy lost). Ideal Gas
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Gas Pressure The force exerted by a gas per unit of surface area.
Created by the collision of gas particles with a surface.
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Atmospheric Pressure Atmospheric Pressure: created by the gases that make up Earth’s atmosphere. Atmospheric pressure decreases as elevation increases (lower density of gases). Measured using a Barometer.
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Units of Pressure SI Unit = pascal (Pa) Other units: atmospheres (atm)
millimeters of mercury (mmHg) torr pounds per square inch (psi) Standard Pressure: kPa = 1 atm = 760 mmHg = 760 torr = 14.7 lb/in2 (psi) Rmv psi
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Pressure Conversion Practice
7.31 psi = _______ mmHg 1140 torr = _______ kPa 19.0 psi = ________ kPa 202 kPa = ________ atm Rmv psi
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Pressure Conversion Practice
7.31 psi = _______ mmHg psi x 760 mm Hg = mm Hg 14.7 psi 1140 torr = _______ kPa 1140 torr x kPa = 152 kPa 760 torr 19.0 psi = ________ kPa 19.0 psi x kPa = 131 kPa 202 kPa = ________ atm 202 kPa x atm = 1.99 atm 101.3 kPa Rmv psi
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Temperature Temperature: average kinetic energy of particles The faster the particles are moving, the higher the temperature. Kelvin temperature is directly proportional to the average kinetic energy of the particles of the substance. Particles at 200K have twice the average KE of particles at 100K. Absolute Zero: KE = 0; all motion of particles stops TK = TC + 273
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Vacuum empty space no particles no pressure
A vacuum pump is a device that removes gas molecules from a sealed volume in order to leave behind a partial vacuum
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If you want to retest… get out your Remediation guide…
Thursday… If you want to retest… get out your Remediation guide… HMWK: Start Homework packet Work on HP due on 11/15 with rubric attached!!!!
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2. 732 mmHg. = ? psi 3. 754 mmHg = ? atm 4. 14.98 psi = ? mmHg
Get out note sheet from yesterday Complete the practice problems below. torr = ? atm mmHg. = ? psi mmHg = ? atm psi = ? mmHg
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0.99. atm 2. 732 mmHg. = ? psi 14.26 psi 3. 754 mmHg = ? atm 0.99 atm
Get out note sheet from yesterday Complete the practice problems below. torr = ? atm 0.99. atm mmHg. = ? psi 14.26 psi mmHg = ? atm 0.99 atm psi = ? mmHg 775 mmHg
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Gas Laws P1V1 P2V2 T1 T2 = (FOR A FIXED AMOUNT OF GAS)
(COMBINED GAS LAW)
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Boyle’s Law Boyle’s Law: At constant temperature, the pressure and volume of a gas are inversely proportional. P1V1 = P2V2 Graph:
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Boyle’s Law
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Boyle’s Law Conceptual Problems
If the volume of a gas is decreased by half, what happens to its pressure? If the pressure tripled, what must have happened to the volume of the gas? If the volume doubles, what happens to pressure?
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Boyle’s Law Conceptual Problems
If the volume of a gas is decreased by half, what happens to its pressure? Pressure is doubled 2) If the pressure tripled, what must have happened to the volume of the gas? Volume decreases by a third If the volume doubles, what happens to pressure? Pressure decreases by half
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Boyle’s Law -. Both Pressures must be in the same unit
Boyle’s Law - *Both Pressures must be in the same unit *Both Volumes must be in the same unit. Math Problems The volume of a gas at 99 kPa is 300 mL. If the pressure is increased to 188 kPa, what will be the new volume? 99 ( 300) = 188 V2 2) The pressure of a sample of helium in a 1.0-L container is atm. What is the new pressure if the sample is placed in a 2.0-L container? 0.988 (1) = P2 (2)
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Boyle’s Law -. Both Pressures must be in the same unit
Boyle’s Law - *Both Pressures must be in the same unit *Both Volumes must be in the same unit. Math Problems The volume of a gas at 99 kPa is 300 mL. If the pressure is increased to 188 kPa, what will be the new volume? 99 ( 300) = 188 V mL = V2 2) The pressure of a sample of helium in a 1.0-L container is atm. What is the new pressure if the sample is placed in a 2.0-L container? 0.988 (1) = P2 (2) 0.494 atm = P2
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Cartesian Diver How does it work???
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Charles’s Law Charles’s Law: At constant pressure, the volume of a gas is directly proportional to its Kelvin temperature. V1 = V2 T1 T2 Graph:
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Charles’s Law
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Liquid Nitrogen
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Charles’s Law Conceptual Problems
If the temperature of a gas is doubled, what must happen to volume in order for pressure to remain constant? 2) If the volume of a gas decreases to one-third its original volume, what happens to the temperature in order for pressure to remain constant?
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Charles’s Law Conceptual Problems
If the temperature of a gas is doubled, what must happen to volume in order for pressure to remain constant? Volume is doubled 2) If the volume of a gas decreases to one-third its original volume, what happens to the temperature in order for pressure to remain constant? Temperature decreases one-third
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Charles’s Law The Math…
The Kelvin temperature of a 3.0-L sample of gas is lowered from 353 K to 303 K. What will be the resulting volume of this gas? 2) A gas at 89oC occupies a volume of 0.67 L. At what Celsius temperature will the volume increase to 1.12 L? Change temp to K: = 362 K Change temp back to Celsius: 605 = C + 273
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Charles’s Law The Math…
The Kelvin temperature of a 3.0-L sample of gas is lowered from 353 K to 303 K. What will be the resulting volume of this gas? = V2 (303) = 353V2 2.58 L = V2 2) A gas at 89oC occupies a volume of 0.67 L. At what Celsius temperature will the volume increase to 1.12 L? Change temp to K: = 362 K = 1.12 T2 0.67T2 = 1.12 (362) T2 = 605 K Change temp back to Celsius: 605 = C + 273 332 oC = T2
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Gay-Lussac’s Law Gay-Lussac’s Law: At constant volume, the pressure of a gas is directly proportional to its Kelvin temperature P1 = P2 T T2
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Gay-Lussac’s Law What happens to pressure if temperature increases and volume is held constant? Pressure increases The pressure in an automobile tire is 1.88 atm at 25oC. What will be the pressure if the temperature warms up to 37oC? 1.88 atm = P2 298 K K P2 = atm.
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Combined Gas Law Combined Gas Law: for a fixed amount of gas.
P1V1 = P2V2 T T2 STP = 273 K (0 oC), 1 atm
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Use gas laws to solve the following problems
A gas occupies 12.3 liters at a pressure of mmHg. What is the volume when the pressure is increased to 60.0 mmHg? The temperature of a 4.00 L sample of gas is changed from 10.0 °C to 20.0 °C. What will the volume of this gas be at the new temperature if the pressure is held constant? If a gas is cooled from K to K and the volume is kept constant what final pressure would result if the original pressure was mmHg?
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Combined Gas Law Conceptual Problems
What happens to temperature if volume and pressure are both doubled? 2) What happens to pressure if volume and temperature are both tripled? 3) What must happen to volume if pressure is halved and temperature is doubled?
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Combined Gas Law Conceptual Problems
What happens to temperature if volume and pressure are both doubled? Temperature is multiplied by 4 2) What happens to pressure if volume and temperature are both tripled? Temp increases by multiple of 9 3) What must happen to volume if pressure is halved and temperature is doubled? Volume is multiplied by 4
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Combined Gas Law Math Problems
A helium-filled balloon at sea level has a volume of 2.1 L at atm and 36oC. If it is released and rises to an elevation at which the pressure is 0.9 atm and the temperature is 28oC, what will be the new volume of the balloon? V1 = 2.1 L V2 = ? P1 = atm P2 = 0.9 atm T1 = = 309 K T2 = = 301 K 2) At STP, a sample of gas occupies 30 mL. If the temperature is increased to 30 oC and the entire gas sample is transferred to a mL container what will be the gas pressure inside the container? P1 = 1 atm P2 = ? T1 = 273 K T2 = = 303 K V1 = 30 mL V2 = 20 mL
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Combined Gas Law Math Problems
A helium-filled balloon at sea level has a volume of 2.1 L at atm and 36oC. If it is released and rises to an elevation at which the pressure is 0.9 atm and the temperature is 28oC, what will be the new volume of the balloon? V1 = 2.1 L V2 = ? P1 = atm P2 = 0.9 atm T1 = = 309 K T2 = = 301 K V2 = 2.27L At STP, a sample of gas occupies 30 mL. If the temperature is increased to 30 oC and the entire gas sample is transferred to a mL container what will be the gas pressure inside the container? P1 = 1 atm P2 = ? T1 = 273 K T2 = = 303 K V1 = 30 mL V2 = 20 mL P2 = 1.67 atm
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Monday 11-14-16 Warm-up complete page 1 of hmwk packet…DO IT NOW!!!
Raise your hand when done HMWK: HP part 4 due tomorrow with rubric attached.. It is individual! HMWK packet due Wed. 11/16 Unit 6 Gas Laws test is Thurs. 11/17
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Ideal Gas Law n = number of moles
Ideal Gas Law – Amount of Gas Varies PV = nRT n = number of moles R = L*atm/mol*K = 62.4 L*mmHg/mol*K = 8.31 kPa*L/mol*K
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Ideal Gas Law What pressure is exerted by mol of a gas at 25oC if the gas is in a L container? PV = nRT P = ? P (.650) = .450(0.0821)(298) V = L P = 11 n = mol P = 16.9 atm T = = 298 K R = L-atm/(mol K) 2) Determine the volume occupied by mol of a gas at 15oC if the pressure is 81.8 kPa.
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Ideal Gas Law Problems How many moles of gas are contained in mL at 21.0 °C and mmHg pressure?
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At what pressure would 0.150 mole of nitrogen gas at 23.0 °C occupy 8.90 L?
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Calculate the volume 3. 00 moles of a gas will occupy at 24
Calculate the volume 3.00 moles of a gas will occupy at 24.0 °C and mmHg.
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What volume will 1.27 moles of helium gas occupy at STP?
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Avogadro’s Law – the amount of gas (# of moles) is directly proportional to the volume of the gas.
n1 = n2 V1 V2
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Avogadro’s Law Assuming that pressure and temperature remain constant, what happens to the volume of a gas if the number of moles doubles? Volume doubles If you have two moles of a gas in a 4-liter container, how many moles of the gas would occupy a 3-liter container and retain the same pressure and temperature.
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Chemical vs Physical Change
Chemical change - When a new substance is formed. Molecular bonds are broken and new bonds are formed. Physical change - When matter changes forms or phases. Ex. Changing from solid to liquid or from liquid to solid, it is changing its physical state, therefore it is a physical change or phase change.
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Phase Changes Solid → Liquid Liquid → Solid Liquid → Gas Gas → Liquid
Solid → Gas Gas → Solid Melting Freezing Evaportation Condensation Sublimation Deposition
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Phase Diagram Triple Point: the temperature and pressure at which three phases of a substance can coexist. Critical Point: critical temperature above which no amount of pressure can change the vapor into a liquid. Lines: indicate T and P at which two phases exist in equilibrium
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HMWK packet due tomorrow. Quiz tomorrow also. Lab tomorrow
Tuesday… Staple your rubric to your HP and put it in the “In” box. Get out your notes from yesterday and Let’s review phase diagrams. Now, complete the questions on the right side of the notes. HMWK: HMWK packet due tomorrow. Quiz tomorrow also. Lab tomorrow
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Mole/Liter Conversion
1 Mole of gas occupies 22.4 Liters at STP 1 mol = 22.4 L Ex. 1) 17.5 mol Ne = _________ L 17.5 mol x L = 392 L 1 mol Ex. 2) How many moles are in L of CO2? 261.5 L x 1 mol = 11.7 mol 22.4 L
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Mixtures of Gases Dalton’s Law of Partial Pressures: the total pressure of a mixture of gases is equal to the sum of the pressures of all the gases in the mixture. Ptotal = P1 + P2 + P3 + … Partial Pressure of a Gas: the portion of the total pressure contributed by a single gas.
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Dalton’s Law of Partial Pressures
What is the partial pressure of hydrogen gas in a mixture of hydrogen and helium if the total pressure is 600 mmHg and the partial pressure of helium is 439 mmHg? PT = P1 + P2 600 = P2 161 mmHg = P2
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Dalton’s Law Problem Ex. A mixture of neon and argon gases exerts a total pressure of 2.39 atm. The partial pressure of the neon alone is 1.84 atm, what is the partial pressure of the argon?
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Wednesday… 11-16-16 1. Put HMWK packet in the “In” box.
2. Complete the following problems: a. If 4 moles of a gas are at a pressure of 5.4 atm and have a volume of 120 L, what is the temperature? b. My car has an internal volume of 2600 L. If the sun heats my car from 20oC to 55oC, what will the pressure inside my car be? (Assume the initial pressure was 760 mmHg). How many moles of gas are in my car? 3. RAISE YOUR HAND FOR MRS. C to check it… 4. Then, grab a partner, a quiz, a calculator and a reference guide. 5. When you are done, get a lab sheet and a computer. TEST TOMORROW on GAS LAWS!!!
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Thursday… ONLY…..If you have a smiley face on your interim you may leave at the bell. Get out your reference guide, a calculator, your PLASMA TV, and put your phone away. Get ready for your Unit 6 Gas Laws test.
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Sit in your Honors Project groups… HMWK: Work on HP part 5
Friday… Sit in your Honors Project groups… HMWK: Work on HP part 5
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