Properties Of Matter Chapter 6
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Chemistry DACS 1233
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Three States of Matter
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Chemistry DACS 1233
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Phase Changes Phase changes, trans-formations from one phase to another, occur when energy (usually in the form of heat) is added or removed. 3 Phases Gas phase - steam Liquid phase - water Solid phase - ice
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Chemistry DACS 1233
H2O (l)
H2O (g)
H2O (s)
H2O (l)
H2O (s)
H2O (g)
3
liquid gas
Condensation gas liquid Sublimation
solid gas
Deposition
gas solid
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Chemistry DACS 1233
Deposition
Vaporization
Condensation
liquid solid
Freezing
Freezing
Evaporation
solid liquid
Melting
Melting
Sublimation
Phase Changes
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Chemistry DACS 1233
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Phase Diagram of Water
A phase diagram summarizes the conditions at which a substance exists as a solid, liquid, or gas.
Imran Syakir Mohamad
Chemistry DACS 1233
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Gases Physical Characteristics of Gases •
Gases assume the volume and shape of their containers.
•
Gases are the most compressible state of matter.
•
Gases will mix evenly and completely when confined to the same container.
•
Gases have much lower densities than liquids and solids.
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Chemistry DACS 1233
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Elements that exist as gases at 25 0C and 1 atmosphere
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Chemistry DACS 1233
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Chemistry DACS 1233
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Force Pressure = Area
Units of Pressure 1 pascal (Pa) = 1 N/m2 1 atm = 760 mmHg = 760 torr Barometer
1 atm = 101,325 Pa Imran Syakir Mohamad
Chemistry DACS 1233
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10 mi les
4 mil es Sea l evel
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Chemistry DACS 1233
0. 2 atm
0. 5 atm 1 atm
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As P (h) increases Imran Syakir Mohamad
Chemistry DACS 1233
V decreases 12
Boyle’s Law
P α 1/V Constant temperature Constant amount of gas
P x V = constant P1 x V1 = P2 x V2 Imran Syakir Mohamad
Chemistry DACS 1233
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A sample of chlorine gas occupies a volume of 946 mL at a pressure of 726 mmHg. What is the pressure of the gas (in mmHg) if the volume is reduced at constant temperature to 154 mL?
P1 x V1 = P2 x V2 P1 = 726 mmHg
P2 = ?
V1 = 946 mL
V2 = 154 mL
P1 x V1 726 mmHg x 946 mL P2 = = = 4460 mmHg 154 mL V2
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Chemistry DACS 1233
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Chemistry in Action: Scuba Diving and the Gas Laws
P
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Chemistry DACS 1233
Depth (ft) 0
Pressure (atm) 1
33
2
66
3
V
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Charles’ & Gay-Lussac’s Law
As T increases Imran Syakir Mohamad
Chemistry DACS 1233
V increases 16
Variation of gas volume with temperature at constant pressure.
VαT V = constant x T V1/T1 = V2/T2 Imran Syakir Mohamad
Temperature must be in Kelvin T (K) = t (0C) + 273.15 Chemistry DACS 1233
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A sample of carbon monoxide gas occupies 3.20 L at 125 0C. At what temperature will the gas occupy a volume of 1.54 L if the pressure remains constant? V1/T1 = V2/T2 V1 = 3.20 L
V2 = 1.54 L
T1 = 398.15 K
T2 = ?
V2 x T1 T2 = = V1 Imran Syakir Mohamad
1.54 L x 398.15 K 3.20 L Chemistry DACS 1233
= 192 K
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Avogadro’s Law V α number of moles (n) V = constant x n V1/n1 = V2/n2
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Chemistry DACS 1233
Constant temperature Constant pressure
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Ammonia burns in oxygen to form nitric oxide (NO) and water vapor. How many volumes of NO are obtained from one volume of ammonia at the same temperature and pressure? 4NH3 + 5O2
4NO + 6H2O
1 mole NH3
1 mole NO
At constant T and P 1 volume NH3
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1 volume NO
Chemistry DACS 1233
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Ideal Gas Equation Boyle’s law: V α 1 (at constant n and T) P Charles’ law: V α T (at constant n and P) Avogadro’s law: V α n (at constant P and T) nT Vα P
nT nT V = constant x =R P P R is the gas constant PV = nRT
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Chemistry DACS 1233
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The conditions 0 0C and 1 atm are called standard temperature and pressure (STP). Experiments show that at STP, 1 mole of an ideal gas occupies 22.4 L.
PV = nRT PV R= nT (1 atm)(22.4L) = (1 mol)(273.15 K) R = 0.082057 L • atm / (mol • K) Imran Syakir Mohamad
Chemistry DACS 1233
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What is the volume (in liters) occupied by 49.8 g of HCl at STP? T = 0 0C = 273.15 K
PV = nRT nRT V= P
P = 1 atm n = 49.8 g x
1.37 mol x 0.0821 V=
L•atm mol•K
1 mol HCl = 1.37 mol 36.45 g HCl
x 273.15 K
1 atm
V = 30.6 L Imran Syakir Mohamad
Chemistry DACS 1233
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Density (d) Calculations PV = nRT = m RT M
PM = m RT = dRT V d=
PM
RT
d=
m V
m is the mass of the gas in g
M is the molar mass of the gas
Molar Mass (M ) of a Gaseous Substance M=
dRT P
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d is the density of the gas in g/L Chemistry DACS 1233
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Gas Stoichiometry What is the volume of CO2 produced at 370 C and 1.00 atm when 5.60 g of glucose are used up in the reaction: C6H12O6 (s) + 6O2 (g) g C6H12O6 5.60 g C6H12O6 x
V=
nRT = P
Imran Syakir Mohamad
mol C6H12O6
6CO2 (g) + 6H2O (l) mol CO2
V CO2
6 mol CO2 1 mol C6H12O6 x = 0.187 mol CO2 180 g C6H12O6 1 mol C6H12O6 L•atm x 310.15 K mol•K = 4.76 L 1.00 atm
0.187 mol x 0.0821
Chemistry DACS 1233
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Liquids Properties of Liquids Surface tension is the amount of energy required to stretch or increase the surface of a liquid by a unit area.
Strong intermolecular forces High surface tension
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Cohesion is the intermolecular attraction between like molecules Adhesion is an attraction between unlike molecules Adhesion When adhesion is greater than cohesion, the liquid rises in the capillary tube. Imran Syakir Mohamad
Cohesion
water
mercury Chemistry DACS 1233
When cohesion is greater than adhesion, a depression of the liquid in the capillary tube. 27
Viscosity is a measure of a fluid’s resistance to flow.
Strong intermolecular forces High viscosity
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Solids • A crystalline solid possesses rigid and long-range order. In a crystalline solid, atoms, molecules or ions occupy specific (predictable) positions. • An amorphous solid does not possess a well-defined arrangement and long-range molecular order. A unit cell is the basic repeating structural unit of a crystalline solid. lattice point
Unit Cell Imran Syakir Mohamad
Unit cells in 3 dimensions Chemistry DACS 1233
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Chemistry DACS 1233
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Shared by 2 unit cells
Shared by 8 unit cells Imran Syakir Mohamad
Chemistry DACS 1233
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1 atom/unit cell (8 x 1/8 = 1) Imran Syakir Mohamad
2 atoms/unit cell (8 x 1/8 + 1 = 2) Chemistry DACS 1233
4 atoms/unit cell (8 x 1/8 + 6 x 1/2 = 4) 35
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When silver crystallizes, it forms face-centered cubic cells. The unit cell edge length is 409 pm. Calculate the density of silver. m d= V
V = a3 = (409 pm)3 = 6.83 x 10-23 cm3
4 atoms/unit cell in a face-centered cubic cell 1 mole Ag 107.9 g -22 x m = 4 Ag atoms x = 7.17 x 10 g 23 mole Ag 6.022 x 10 atoms 7.17 x 10-22 g m 3 = = 10.5 g/cm d= V 6.83 x 10-23 cm3
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Chemistry DACS 1233
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Chemistry DACS 1233
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Extra distance = BC + CD = 2d sinθ = nλ (Bragg Equation) Imran Syakir Mohamad
Chemistry DACS 1233
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X rays of wavelength 0.154 nm are diffracted from a crystal at an angle of 14.170. Assuming that n = 1, what is the distance (in pm) between layers in the crystal? nλ = 2d sin θ θ = 14.170 λ = 0.154 nm = 154 pm
n=1 nλ
1 x 154 pm = d= 2 x sin14.17 2sinθ = 314.5 pm Imran Syakir Mohamad
Chemistry DACS 1233
40
Types of Crystals Ionic Crystals • Lattice points occupied by cations and anions • Held together by electrostatic attraction • Hard, brittle, high melting point • Poor conductor of heat and electricity
CsCl Imran Syakir Mohamad
ZnS Chemistry DACS 1233
CaF2 41
Types of Crystals Covalent Crystals • Lattice points occupied by atoms • Held together by covalent bonds • Hard, high melting point • Poor conductor of heat and electricity carbon atoms
diamond
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Chemistry DACS 1233
graphite
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Types of Crystals Molecular Crystals • Lattice points occupied by molecules • Held together by intermolecular forces • Soft, low melting point • Poor conductor of heat and electricity
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Chemistry DACS 1233
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Types of Crystals Metallic Crystals • Lattice points occupied by metal atoms • Held together by metallic bonds • Soft to hard, low to high melting point • Good conductors of heat and electricity Cross Section of a Metallic Crystal nucleus & inner shell emobile “sea” of e-
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Chemistry DACS 1233
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Types of Crystals
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Chemistry DACS 1233
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