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State the Following Laws •Boyle’s Law •Charles’ Law •Gay Lussac’s Law •Dalton’s Law •Graham’s Law

State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

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Page 1: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

State the Following Laws

• Boyle’s Law

• Charles’ Law

• Gay Lussac’s Law

• Dalton’s Law

• Graham’s Law

Page 2: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Drill:• Calculate the volume at

STP of CO2 released when 23.4 g of aluminum carbonate is decomposed 75 % through heat

Page 3: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

AP Test Changes

• No Choices in Problems

• Only 3 reactions with predicting products– Balance rxns

– No choices

– Explain rxns

Page 4: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Kinetic Theory

Page 5: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•All matter is made up of tiny particles

•The particles are in constant motion

•All collisions are elastic

Page 6: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Pressure

Page 7: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•Force per unit area

•Caused by collisions against a surface

•Gas measured in pressure

Page 8: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Units of Pressure•kPa: kilopascal (Std Unit)

•Pascal: newton/sq. meter

•Atmosphere (Atm):

•mm Hg:

Page 9: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Standard Pressure•101.3 kPa (to be changed)•1.00 Atm•760 mm Hg or Torrs•30.0 inches Hg•1013 millibars

Page 10: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Gas Laws

Page 11: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Boyle’s Law

Page 12: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•The pressure & volume of a gas at constant

temperature are inversely proportioned

P1V1 = P2V2 = K

Page 13: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Charles’ Law

Page 14: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•The volume and temperature of a gas at constant pressure are directly proportioned

V1/T1 = V2/T2 = K

Page 15: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Guy Lussac’s

Law

Page 16: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•The Pressure and temperature of a gas at

constant volume are directly proportioned

P1/T1 = P2/T2 = K

Page 17: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Combined Gas Law

Page 18: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•Combination of the three formulas

P1V1 /T1 =

P2V2/T2

Page 19: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the new volume of 5.0 L of

gas when its pressure is doubled and its

temperature is tripled:

Page 20: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Common Sense•The volume of a gas is directly proportioned to the number of moles of gas

V1/n1 = V2/n2 = K

Page 21: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

New Combination

P1V1/n1T1 =

P2V2/n2T2 = K

Page 22: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Ideal Gas Law

PV = nRT

Page 23: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the volume of 2.0 moles of gas at 77oC under 83.1 kPa

pressure.

Page 24: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the number of moles of gas

occupying 831 mL under 250 kpa at

227oC

Page 25: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the number of moles of gas

occupying 831 mL under 80.0 kPa at

127oC

Page 26: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the mass of CO2 occupying 83.1 L under 25 GPa at

227oC

Page 27: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Combined Gas Law

PV = nRT

Page 28: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Related Formulasm

V

m/n

D or =

MW =

Page 29: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the molecular mass of 5.0

g of gas occupying 831L under 250 Mpa

at 227oC

Page 30: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the density of carbon dioxide at 27oC under 83.1 kPa

pressure

Page 31: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Dalton’s Law

Page 32: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•The total pressure = the sum of the partial pressures

PT = P1 + P2 + etc

Page 33: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

The total pressure of a system is 120.0 kPa.

The partial pressure of gas A is 112.0 kPa.

Determine the pressure of gas B

Page 34: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Graham’s Law

Page 35: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

•The velocity of a particle is inversely proportioned to the square root of its mass

v1/v2 = M2/M1

Page 36: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Drill: Calculate the ratio of the velocities of He gas to HCl gas:

Page 37: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the volume of a gas at STP when it occupies 80.0 mL at

127oC under 303.9 kPa pressure:

Page 38: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Drill:Calculate the volume of 4.0 moles of gas

under 83.1 kPa pressure at 127oC:

Page 39: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the mass of 831 mL of CO2 at 27oC under 150 kPa

pressure:

Page 40: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the volume of a gas at STP when it occupies 80.0 mL at 127oC under 303.9 kPa

pressure:

Page 41: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the volume of 4.0 moles of gas

under 83.1 kPa pressure at 127oC:

Page 42: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the molecular mass of 50 g of gas occupying 831L under 250

MPa at 227oC

Page 43: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the mass of 831 mL of CO2 at 167oC under 150 kPa

pressure:

Page 44: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

The total pressure of a system is 120.0 kPa.

The partial pressure of gas A is 112.0 kPa.

Determine the pressure of gas B

Page 45: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

The total pressure of a system is 150.0 kPa. The system contains 50 % A,

30 % B, & 20 % C. Determine the pressure

of each gas.

Page 46: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Drill: Calculate the mass of CO2

occupying 83.1 L under 25 MPa at

477oC

Page 47: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the density of carbon dioxide at 27oC under 83.1 kPa

pressure

Page 48: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the ratio of the

velocities of He gas to HCl gas:

Page 49: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the velocity HBr

when the velocity Be is 270 m/s:

Page 50: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the final volume that 3.0 L of gas

will obtain when the absolute temperature is tripled & the pressure is

halved.

Page 51: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the mass of CO occupying 831 kL at 227oC under 2.50 Mpa

pressure.

Page 52: State the Following Laws Boyles Law Charles Law Gay Lussacs Law Daltons Law Grahams Law

Calculate the volume of H2 formed at 27oC

under 150 kPawhen 6.8 mg NH3

decomposes making N2 & H2.