solids, liquids, & gases chapter 7. the nature of gases indefinite shape and indefinite volume...

Solids, Liquids, & GasesChapter 7

The Nature of GasesThe Nature of Gases • Indefinite shape and indefinite volume

•expand to fill their containers •compressible

•Fluid – they flow •Low density

•1/1000 the density of the equivalent liquid or solid

•Undergo effusion and diffusion

DiffusionDiffusion

• Diffusion: describes the mixing of gases. The rate of diffusion is the rate of gas mixing.

EffusionEffusion

• Effusion: describes the passage of gas into an evacuated chamber

PressurePressure Is caused by the collisions of

molecules with the walls of a container

Is equal to force/unit areaP=F/A

SI units = Newton/meter2 = 1 Pascal (Pa)

101,325 Pa = 1 standard atmosphere (1atm)

1 atm = 760mmHg = 760 torr

Measuring PressureMeasuring Pressure

The first device for measuring atmospheric pressure was developed by Evangelista Torricelli during the 17th century.

The device was called a “barometer”

Baro = weight Meter = measure

An Early BarometerAn Early Barometer

• The normal pressure due to the atmosphere at sea level can support a column of mercury that is 760 mm high.

The Aneroid BarometerThe Aneroid Barometer

The Digital BarometerThe Digital Barometer

GAS LAWS

Boyle’s Law

Charles’ Law

Gay-Lussac’s Law

BOYLE’S LAWThe Relationship Between Pressure and Volume

Robert BoyleRobert Boyle(1627-1691)(1627-1691)

Boyle was born into an aristocratic Irish family

Became interested in medicine and the new science of Galileo and studied chemistry. 

A founder and an influential fellow of the Royal Society of London

Wrote prolifically on science, philosophy, and theology.

BoyleBoyle’’s Laws Law • Boyle’s Law: The volume of a gas is inversely

proportional to the pressure applied to the gas when the temperature is kept constant.

• Decrease in volume = Increase in pressure.• Increase in volume = Decrease the pressure

• P1V1 = P2V2

• Therefore:

• V1=(P2V2)/P1

• V2= (P1V1)/P2

• P1=(P2V2)/V1

• P2=(P1V1)/V2

Boyle’s Equation:

Problems

1) You have a 2L cylinder of gas that is under 100 kPa of pressure. If you compress the gas to 1L, what will the new pressure be?

2) You have a 10.0L container of gas under 505 torr of pressure. If you increase the pressure to 1155 torr, what will the new volume be?

The Relationship Between Temperature and Volume

Jaques Charles (1746-1823Jaques Charles (1746-1823)

Charles studied the compressibility of gases nearly a century after Boyle

French Physicist

Conducted the first scientific balloon flight in 1783

Charles’ Law

• At a fixed pressure, the volume of a gas is proportional to the temperature of the gas.

• As the temperature increases, the volume increases.

• As the temperature decreases, the volume decreases.

How Did He Figure It Out?

A cylinder with a piston and a gas is immersed in a water bath.

A mass is placed on top of the piston which results in a pressure on the gas. This mass is held constant, which means that the pressure on the gas is constant.

The gas volume is measured as the temperature is increased and V vs. T data point plotted. This is continued over a large range of temperatures.

Charles’ Equation

• Rearrange the equation to solve for V1, T1, V2, or T2

• V1=(V2T1)/T2

• T1=(V1T2)/V2

• V2=(V1T2)/T1

• T2=(V2T1)/V1

• All temperatures must be in KELVIN!!!

Problems

1) A cylinder contains 5.00L of gas at 225K. If the temperature is increased to 345K, what will the new volume be?

2) A tire contains 2.00L of air at 300.0K, if the volume in the tire decreased to 1.50L, what must the new temperature be?

3) A ball contains 3.0L of air at 32ºF, if the volume increases to 5L, what must the temperature have changed to?

Gay-LussacGay-Lussac’’s Laws Law

The Relationship Between Pressure and Temperature

Joseph Louis Gay-LussacJoseph Louis Gay-Lussac1778 - 18501778 - 1850

French chemist and physicist Known for his studies on the physical properties of gases. In 1804 he made balloon ascensions to study magnetic forces and to observe the composition and temperature of the air at different altitudes

Gay-Lussac’s Law

• The pressure of a fixed amount of gas at fixed volume is directly proportional to its temperature in Kelvin.

• As the temperature increases, the pressure also increases

• As the temperature decreases, the pressure also decreases

Gay-Lussac’s Law

Expressed Mathematically as:

Rearranging this equation to solve for the variables gives us:

P1=(P2T1)/T2

P2=(P1T2)/T1

T1=(P1T2)/P2

T2=(P2T1)/P1

Problems

1) Jim-Bob has revved his engine enough so that the internal temperature and pressure of his engine are 700.0K and 200.0kPa. If the temperature outside was 295K before Jim-Bob got into his car, what was the internal pressure in his engine?

2) Today, the barometer reads 750mmHg and the thermometer says that it is 65ºF. At 6am, the barometer read 700mmHg, what was the temperature at that time?

The Combined Gas Law

The Relationship Between Pressure, Volume, and

Temperature

The Combined Gas Law

• A combination of Boyle’s, Charles’, and Gay-Lussac’s laws.

• Written mathematically as:• Temperature must be in

KELVIN.

• Rearranged to solve for each variable:P1=(P2V2T1)/(V1T2)

V1=(P2V2T1)/(P1T2)

T1=(P1V1T2)/(P2V2)

P2=(P1V1T2)/(V2T1)

V2=(P1V1T2)/(P2T1)

T2=(P2V2T1)/(P1V1)

Problems

1) Rhonda’s helium balloon has a volume of 2.00L at 2.00atm and 395K. If the temperature is raised to 500.K and the gas is compressed to 1.00L, what is the new pressure?

2) Ryan ate at Taco Smell last night. He now has gas which takes up 1.29L of bowel space under 2.35atm of pressure at 310K (body temp). What will be the volume of Jeremy’s gas after he expels it if the atmospheric temperature and pressure are 75ºF and 1.00atm respectively?

Avogadro’s LawThe Relationship Between Pressure,

Temperature, Volume and Moles

Amedeo Avogadro(1776-1856)

• Italian physicist and mathematician

• Born in a noble ancient family of Piedmont

• “Avogadro’s Number” is named after him• 6.022 x 1023

• The number of things in a mole

Avogadro’s Law

• One mole of any gas occupies exactly 22.4 liters (dm3) at STP.– STP = Standard

Temperature and Pressure– Temp = 0ºC = 273K– Pressure = 1atm = 760

mmHg = 760 torr etc.• This is often referred to as the

“molar volume” of a gas.

• Equal volumes of gases, at the same temperature and pressure, contain the same number of particles, or molecules.

• Thus, the number of molecules in a specific volume of gas is independent of the size or mass of the gas molecules.

• Therefore, IT DOESN’T MATTER WHICH GAS YOU ARE TALKING ABOUT.

Problems

1) Luis has 3.5 mol of H2 gas at STP. What volume will this gas occupy?

2) Joann has a can of CO2 gas that contains 0.180 mol CO2 at 1atm and 273K. If Joann let half of the gas out, what would the new volume be?

Avogadro’s Law

• Written mathematically:

• Where “n” is the number of moles of gas present

• Mini Version:

More Problems

1) Joe’s balloon contains 1.0 mole of Helium at STP. If Joe blows another mole of Helium into the balloon, heats it to 350K, and decreases the volume to 0.75 L, what will the new pressure be inside the balloon?

2) A 1.0L cylinder contains 2.0 moles of gas at 250K and 1.0atm. If the temperature and pressure are increased to 350K and 3.5atm and the new volume of gas is 0.50L, how much gas was added/removed?

The Ideal Gas Law

• The Ideal Gas Law is most often written

as: PV=nRT• Rearranging the equation gives us:

P = (nRT)/VV = (nRT)/Pn = (PV)/(RT)T = (PV)/(nR)

• R is the Universal Gas ConstantR = 0.082 L x atm x K-1 x mol-1

R = 62.36 L x torr x K-1 x mol-1

R = 62.36 L x mmHg x K-1 x mol-1

R = 8.315 L x kPa x K-1 x mol-1

Problems

1) Rosy has a 5.0L tank of H2 gas. If the pressure inside the tank is 800.0torr and the temperature is 300.0K, how many moles of hydrogen does her tank contain?

2) Chris’ favorite meal is a bean and cheese burrito from Del Taco. Unfortunately, this means that his intestines were filled with 1.50 moles of CH4 gas under 2atm of pressure. What is the volume of gas that occupies his bowels? *Make an assumption about Temp*

3) Jose wants to cook up some steaks for Super Bowl Sunday. He looks at his BBQ and notices that his Propane (C3H8) tank contains 10.0L of the gas under 3.0atm at room temperature. How many grams of propane does Jose own?

Dalton’s LawThe Law of Partial Pressures

John Dalton(1766-1844)

• English Chemist and Physicist

• Did much research on color blindness– He was colorblind

• Famous for his atomic theory

• Worked with gases

• Dalton’s Law: The total pressure exerted by a mixture of gases is the sum of the individual pressures of each gas in the mixture

• Dalton’s Equation:

Problems

1) The air in this room contains the gases shown below at their respective partial pressures in kPa. What is the pressure your body feels from the air in this room?

2) What is the pressure in problem 1 if you convert it to atm? Torr? mmHg?

3) Scuba Divers use gas mixtures of O2 and He. If the diver to your right breathes in a mixture that has a total pressure of 6.5 atm and a partial pressure from O2 of 1.2 atm, what is the partial pressure of He?

Liquids

• Particles close, but far apart enough to allow for movement– Slide passed each other– Fluid

• Definite volume• No definite shape• High density• Low compressibility• Low thermal expansion

Solids

• Atoms very close

• Definite shape

• Definite volume

• High Density

• Very small thermal expansion

Intermolecular Forces

1) Ionic bonds• Occur between ions

• Usually a metal and a non-metal

• Hold ions close together• Require large amounts of energy to break

• Example: M.P. of NaCl = 801°C

2) Dipole-Dipole Attractions• Attraction between two polar molecules• Positive end of one molecule is attracted to

the negative end of another molecule

Chloroform (l)

3) Hydrogen bonds• Special dipole-dipole

attraction• Occurs between the H

that is bonded to a very electronegative atom (O, N, F) on one molecule and the lone pair(s) on a very electronegative atom on another molecule

• Surface tension

4) Dispersion forces/London forces/Van Der Waals forces• Caused by momentary dipoles in otherwise

non-polar molecules• Effect is often seen in very large molecules

Interaction Relative Strength

Ionic 1000

Hydrogen Bond 100

Dipole-Dipole 10

Dispersion 1

Problems

Identify the major interaction expected forthe following molecules• Cl2• NH3

• C10H22

• KI• HBrIdentify the major interaction expected betweenthe following molecules• Water and ammonia (NH3)• Formaldehyde (CH2O) and methane (CH4)

a.k.a. freezing

Change of State

Melting Point (Freezing Point)

• The temp at which the solid form of a substance begins to melt and the liquid form of that substance begins to solidify

• Most often referred to as M.P.• F.P. understood

• Both solid and liquid exists at this temp

• Example: Water’s M.P. is 0°C

Boiling Point (Condensation Point)

• Temp at which the liquid form of a substance begins to vaporize and the gaseous form of that same substance begins to liquify

• Usually referred to as B.P.• C.P. understood

• Both liquid and gas occur at this temp

Substance M.P. (°C) B.P. (°C)

H2O 0 100

Au 1064 2856

CH4 -182.5 -161.6

NaCl 801 1465

Why is CO2 not listed?