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Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

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The Barometer Pressure depends on area of contact; smaller area, greater pressure Ex.: high heels; ballerina Atmosphere exerts pressure - total of individual gas pressures (mostly N, then O) Measured using barometers Units (ie. 1 torr = 1 mm Hg)

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Page 1: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Gases• KMT = particles

constant motion• AKE, temperature,

pressure, volume, amount of a gas are all related

Page 2: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Pressure & Force• D/t collisions of

molecules on surfaces

• P = defined as the force per unit area on a surface = force/area

• Force unit = newton (N)

Page 3: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

The Barometer

• Pressure depends on area of contact; smaller area, greater pressure

Ex.: high heels; ballerina• Atmosphere exerts

pressure - total of individual gas pressures (mostly N, then O)

• Measured using barometers

• Units(ie. 1 torr = 1 mm Hg)

Page 4: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Dalton’s Law of Partial Pressures

• Partial pressures are exerted by individual gases

• Law states that total pressure of a gas mixture is the sum of the component pressures

• PT = P1+P2+P3…

Page 5: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Boyle’s Law• Inversely relates

pressure and volume

• Examples?• P1V1=P2V2

• What is the constant?

Page 6: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

MUST KNOW

• Use the temperature in Kelvins when solving these gas problems.

• K = ºC + 273• STP means standard temperature (0ºC)

pressure (1 atm).• 1 atm = 101.3 kPa = 760 torr = 760 mm Hg

Page 7: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Charles’s Law• Directly relates

volume and temperature

• V1/T1 = V2/T2

• What is the constant?

• K = degrees C + 273

Page 8: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Gay-Lussac’s Law• Directly relates

pressure and temperature

• P1/T1=P2/T2

• Constant?

Page 9: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Combined Gas Law

Page 10: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Avogadro’s Law• Equal volumes of gases

at the same temperature and pressure contain equal numbers of molecules.

• Example: At the same temperature and pressure, balloons of equal volume have equal numbers of molecules, regardless of which gas they contain.

Page 11: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Molar Volume of a Gas

• 22.4 L at STP• STP = 1 atm and

0 degrees C (273 K)

Page 12: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Ideal Gas Law• Solve for moles within a gas PV = nRT

R is a constant (0.0821 Lxatm/molxK). This is used when the volume is in liters, the pressure is in atmospheres, and the temperature is in Kelvins.

n is the number of moles

Use a table for values of R when other units for n, P, V, and T are used.

Page 13: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Comparison of Diffusion with Effusion

• Effusion is the process by which gas molecules under pressure pass through a tiny opening.

• Diffusion is the mixing of two gases by random molecular motion.

Page 14: Gases KMT = particles constant motion AKE, temperature, pressure, volume, amount of a gas are all related

Graham’s Law of Effusion• Rates of effusion of

gases at the same temperature and pressure is inversely proportional to the square roots of their molar masses

• Square root of Molar Mass B/Square root of Molar Mass A