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Chemical bonding and structure of matter · Chemical bonding

Properties of Substances According to Their Bonding

Before you start, make sure you know: Changes of state (Secondary Year 2)
Before you start, make sure you know: Solutions and concentration (Secondary Year 3)

In the kitchen at home, water boils at $100\ ^{\circ}\text{C}$, but table salt does not melt even on the hottest griddle. A copper wire bends without breaking, and a salt crystal shatters with one blow. The diamond on a drill bit cuts through rock, and the graphite in a pencil comes off with just a light rub on paper. None of these differences is a coincidence: they all come from the type of bond and the structure that the atoms form.

Melting and Boiling Point

A pot of water boils quickly, but salt in a dry pan does not melt even at full power on the stove. Why do two such common substances need such different temperatures to change state?

Scaled bar chart: water boils at 100 °C, while sodium chloride melts at 801 °C and magnesium oxide at 2852 °C Temperature (°C) 0 1000 2000 100 °C 801 °C 2852 °C boiling melting melting H₂O NaCl MgO
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Common salt melts at $801\ \celsius$: it must be heated immensely to melt it. A small section of its crystal lattice is shown in the figure. Explain, based on its ionic…

Common salt melts at $801\ \celsius$: it must be heated immensely to melt it. A small section of its crystal lattice is shown in the figure.

Cl Na Cl Na Na Cl Na Cl Cl Na Cl Na Na Cl Na Cl Cl (−1) Na (+1)

Explain, based on its ionic bonding and its crystal lattice structure, why the melting point of $\text{NaCl}$ is so high.

Solve
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Water boils at $100\ \celsius$, whereas salt melts at $801\ \celsius$. a) State what structure each substance has: molecules or a crystal lattice? b) Explain, based on…

Water boils at $100\ \celsius$, whereas salt melts at $801\ \celsius$.

  1. a) State what structure each substance has: molecules or a crystal lattice?
  2. b) Explain, based on this structural difference, why water changes state at a much lower temperature than salt.
Solve
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$\text{NaCl}$ melts at $801\ \celsius$ and $\text{MgO}$ at $2852\ \celsius$, and both are ionic crystals with the same structure. The melting points are compared in the…

$\text{NaCl}$ melts at $801\ \celsius$ and $\text{MgO}$ at $2852\ \celsius$, and both are ionic crystals with the same structure. The melting points are compared in the figure.

melting point (°C) 1000 2000 3000 801 °C 2852 °C NaCl MgO
  1. a) State the charges of the ions in each compound.
  2. b) Explain, by comparing these charges, why the electrostatic attraction is much greater in $\text{MgO}$.
  3. c) Relate this attraction to its extremely high melting point: $\text{MgO}$ is, in fact, used to line the inside of industrial furnaces.
Solve

Electrical Conductivity

In a circuit with a battery and a bulb, when you touch a copper sheet the bulb lights up. With a dry salt crystal nothing happens, but if you dissolve that salt in water, the bulb shines again. Why does salt conduct only when it is dissolved?

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Household wires are made of copper, a solid that conducts electric current. The sea of electrons model is shown in the figure. Explain, using the sea of electrons model,…

Household wires are made of copper, a solid that conducts electric current. The sea of electrons model is shown in the figure.

Cu Cu Cu Cu Cu Cu Cu Cu Cu Cu cations sea of electrons

Explain, using the sea of electrons model, why copper conducts electricity in the solid state, unlike a piece of salt.

Solve
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A salt crystal does not conduct electricity, but if you melt it or dissolve it in water, it does conduct. a) Explain what happens to the ions in each of the three…

A salt crystal does not conduct electricity, but if you melt it or dissolve it in water, it does conduct.

  1. a) Explain what happens to the ions in each of the three situations.
  2. b) What condition must charged particles meet in order to be able to carry an electric current?
Solve
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You set up a circuit with a battery, a light bulb and two electrodes to test the conductivity of salt. The experimental set-up is shown in the figure. a) Predict what…

You set up a circuit with a battery, a light bulb and two electrodes to test the conductivity of salt. The experimental set-up is shown in the figure.

+ − battery light bulb ? salt
  1. a) Predict what you will observe when placing solid common salt between the electrodes and explain the result.
  2. b) Repeat the prediction, first dissolving the salt in water.
  3. c) What role does ion mobility play in the difference in results?
Solve
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Distilled water barely conducts electric current, tap water conducts a little, and seawater conducts a lot. a) Explain which particles carry the current in tap water and…

Distilled water barely conducts electric current, tap water conducts a little, and seawater conducts a lot.

  1. a) Explain which particles carry the current in tap water and where they come from (dissolved $\text{Ca}^{2+}$, $\text{Mg}^{2+}$, $\text{Na}^{+}$, $\text{Cl}^{-}$...).
  2. b) Why does distilled water barely conduct, even though the water molecule contains electrons?
  3. c) Order the three types of water by their ion concentration and relate this to their conductivity.
Solve

Hardness and Mechanical Behavior

Animation comparing an ionic crystal and a metal after a blow: in the ionic crystal a layer of ions slides, ions of the same sign end up facing each other, repel, and the two layers separate; in the metal the layer of cations slides within the sea of electrons and the structure stays together. ionic crystal metal ions of the same sign face each other when sliding: it breaks cations surrounded by the sea of electrons: it deforms without breaking

Alloys: Harder Metals

A pure metal like gold is very soft because all of its cations are the same size and the layers slide easily. An alloy is a homogeneous mixture of a metal with other elements (usually other metals) that still has metallic bonding. If there are atoms of a different size in the lattice, the layers no longer fit together in the same way: the different atoms act as "stops" that hinder sliding, and the material becomes harder. Since the sea of electrons is still there, the alloy keeps its shine and its conductivity.

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Rock drill bits have diamond tips, the hardest natural material known. A fragment of its covalent network is shown in the figure. Explain, based on its three-dimensional…

Rock drill bits have diamond tips, the hardest natural material known. A fragment of its covalent network is shown in the figure.

C

Explain, based on its three-dimensional covalent lattice, why diamond is so hard.

Solve
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The lead of a pencil is made of graphite: when writing, the carbon layers slide over one another and detach onto the paper. The layered structure is shown in the figure.…

The lead of a pencil is made of graphite: when writing, the carbon layers slide over one another and detach onto the paper. The layered structure is shown in the figure.

  1. a) Explain, from its layered structure, why graphite is soft and leaves a mark.
  2. b) What type of forces hold the layers together? Compare them with the bonds within each layer.
Solve
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Gold leaf used in decoration consists of extremely thin sheets of gold produced by hammering the metal. Explain, using the metallic bonding model, why metals deform when…

Gold leaf used in decoration consists of extremely thin sheets of gold produced by hammering the metal. Explain, using the metallic bonding model, why metals deform when struck instead of shattering, as a salt crystal would.

Solve
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Diamond and graphite are pure carbon, but their properties are almost opposite: diamond is extremely hard and does not conduct electricity; graphite is soft and does…

Diamond and graphite are pure carbon, but their properties are almost opposite: diamond is extremely hard and does not conduct electricity; graphite is soft and does conduct. The two structures are compared in the figure.

C diamond graphite
  1. a) Explain the difference in hardness based on the structure of each.
  2. b) Explain the difference in electrical conductivity.
  3. c) Reason why graphite leaves a mark on paper, whereas diamond scratches glass.
Solve
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A salt crystal shatters cleanly when hit with a hammer, whereas a copper sheet merely dents. a) Draw two layers of ions in your notebook and explain what happens when…

A salt crystal shatters cleanly when hit with a hammer, whereas a copper sheet merely dents.

  1. a) Draw two layers of ions in your notebook and explain what happens when one layer of the ionic lattice slides over the other: which signs of charge are forced together?
  2. b) Contrast this with what happens in a metal when its layers of cations slide.
  3. c) Conclude why we say that salts are "brittle" and metals are "malleable".

You can do it on paper and send a photo with your answer.

Solve
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Gold is so ductile that with $1\ \text{g}$ a wire about $2\ \text{km}$ long can be produced. a) Explain, using the sea of electrons model, this extreme malleability and…

Gold is so ductile that with $1\ \text{g}$ a wire about $2\ \text{km}$ long can be produced.

  1. a) Explain, using the sea of electrons model, this extreme malleability and ductility.
  2. b) Jewellery is made of $18$-carat gold, an alloy with $25\ \%$ of copper and silver, because pure gold is too soft: reason why atoms of a different size inserted into the lattice make it harder for the layers to slide, thus hardening the alloy without taking away the shine or conductivity characteristic of metals.
  3. c) Contrast this behavior with that of an ionic crystal when deformed.
Solve

Solubility

Molecular-scale comparison: on the left, Na⁺ and Cl⁻ ions separated and surrounded by oriented water molecules (the oxygen toward Na⁺ and a hydrogen toward Cl⁻); on the right, an oil droplet made of nonpolar molecules that water leaves out without mixing NaCl in water oil in water Na⁺ Cl⁻ hydrated Na⁺ hydrated Cl⁻ ion separated and surrounded by water oil droplet: does not mix oxygen (δ−) hydrogen (δ+) nonpolar oil molecule
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In the kitchen, salt disappears when you stir it into water, but oil forms droplets and does not mix. a) Explain, in terms of its type of bonding and the interactions it…

In the kitchen, salt disappears when you stir it into water, but oil forms droplets and does not mix.

  1. a) Explain, in terms of its type of bonding and the interactions it establishes with water, why common salt (NaCl) dissolves in water.
  1. b) Using the rule "like dissolves like", explain why oil does not dissolve in water.
Solve
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At $20\ \celsius$, up to $36\ \text{g}$ of $\text{NaCl}$ can be dissolved per $100\ \text{g}$ of water, but only $0.0002\ \text{g}$ of $\text{AgCl}$. a) Calculate the…

At $20\ \celsius$, up to $36\ \text{g}$ of $\text{NaCl}$ can be dissolved per $100\ \text{g}$ of water, but only $0.0002\ \text{g}$ of $\text{AgCl}$.

  1. a) Calculate the maximum mass in grams of common salt that can be dissolved in $250\ \text{g}$ of water at $20\ \celsius$.
  2. b) Explain, with the help of a diagram in your notebook, how water molecules surround and separate the ions when salt dissolves (hydration of ions).
  3. c) Conclude why stating that "ionic substances dissolve in water" is only an approximation.
Solve
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Beach sand is silica, $\text{SiO}2$: hard, does not conduct electricity and melts at $1710\ \celsius$. a) Deduce, from these properties, what type of bonding and…

Beach sand is silica, $\text{SiO}_2$: hard, does not conduct electricity and melts at $1710\ \celsius$.

  1. a) Deduce, from these properties, what type of bonding and structure silica has.
  2. b) $\text{CO}_2$, with the same type of covalent bonding, is a gas at room temperature: explain how this is possible.
  3. c) Reason why sand serves as a raw material for making glass, whereas $\text{CO}_2$ could not be used.
Solve

Polarity and Intermolecular Forces

Methane ($\text{CH}_4$, $16\ \text{g/mol}$) and water ($\text{H}_2\text{O}$, $18\ \text{g/mol}$) have almost equal masses, but methane is a gas down to $-162\ ^{\circ}\text{C}$ and water stays liquid up to $100\ ^{\circ}\text{C}$. Why do molecules of similar size attract each other with such different forces?

A molecule is polar when its bonds are polar and its geometry does not cancel out the dipoles. The electron pairs around the central atom repel each other: two arrange themselves in a line, four toward the corners of a tetrahedron. This conceptual criterion is enough.

Comparison of the geometry and polarity of CO₂, linear and nonpolar because its dipoles cancel, and of H₂O, bent and polar with hydrogen bonds O C O CO₂: linear Two equal dipoles cancel Nonpolar molecule · dispersion only O H H H₂O: bent The dipoles do not cancel Polar molecule · hydrogen bonds

That is why water boils at a high temperature for its molar mass: its molecules are joined by hydrogen bonds. Methane is nonpolar and has only weak dispersion. When it boils, those forces between molecules are overcome, never the O–H bonds.

From Bonding to Properties: Putting It Together

You now have all the pieces. To predict the properties of a substance, first ask yourself what structure it has.

Structure Melting point Conducts Hardness Example
Ionic lattice High Only molten or dissolved Hard and brittle NaCl, MgO
Covalent lattice Very high No (graphite does) Very hard (diamond) C, SiO₂
Metal Variable, generally high Always Malleable and ductile Cu, Fe
Molecules Low No (when pure) Soft H₂O, CO₂, sugar

Counting Ions: The Mole and Avogadro's Number

The conductivity of a solution depends on how many free ions there are. But ions are so tiny that a pinch of salt contains trillions of them, so they are counted in packages called the mole: $1\ \text{mol}$ of any particle is $6.022 \times 10^{23}$ particles. That value is Avogadro's number, $N_A = 6.022 \times 10^{23}\ \text{mol}^{-1}$.

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High-voltage power lines are made of aluminum and domestic wiring of copper; their densities are $2.70\ \text{g/cm}^3$ and $8.96\ \text{g/cm}^3$, respectively. a)…

High-voltage power lines are made of aluminum and domestic wiring of copper; their densities are $2.70\ \text{g/cm}^3$ and $8.96\ \text{g/cm}^3$, respectively.

  1. a) Explain why both metals conduct electric current.
  2. b) Reason, using their densities, what advantage there is in stringing kilometers of aluminum cable hanging from transmission towers.
  3. c) Copper conducts better than aluminum for the same cross-sectional area: reason which material is preferable inside a wall, where weight does not matter.
Solve
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Three substances display these properties. X: melts at $1538\ \celsius$, conducts in solid and liquid states and is malleable. Y: melts at $801\ \celsius$, only conducts…

Three substances display these properties. X: melts at $1538\ \celsius$, conducts in solid and liquid states and is malleable. Y: melts at $801\ \celsius$, only conducts when molten or dissolved and is brittle. Z: sublimes at $-78\ \celsius$, does not conduct under any circumstances and forms soft crystals.

  1. a) Deduce, giving reasons, the predominant type of bonding in each substance.
  2. b) Suggest a real substance that could correspond to each one.
  3. c) For each listed property, state which structural feature of the substance explains it.
Solve
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In a laboratory there are three unlabelled bottles containing white powders: common salt ($\text{NaCl}$), sugar (sucrose, a molecular substance) and sand…

In a laboratory there are three unlabelled bottles containing white powders: common salt ($\text{NaCl}$), sugar (sucrose, a molecular substance) and sand ($\text{SiO}_2$).

  1. a) Design a procedure with three tests — solubility in water, conductivity of the solution and behavior upon strong heating — to identify the contents of each bottle.
  2. b) Predict the result for each substance in each test.
  3. c) Explain each result based on the bonding and structure of the substance.
Solve
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Consider these substances and their melting points: $\text{CH}4$ ($-182\ \celsius$), $\text{H}2\text{O}$ ($0\ \celsius$), $\text{NaCl}$ ($801\ \celsius$), $\text{CaO}$…

Consider these substances and their melting points: $\text{CH}_4$ ($-182\ \celsius$), $\text{H}_2\text{O}$ ($0\ \celsius$), $\text{NaCl}$ ($801\ \celsius$), $\text{CaO}$ ($2572\ \celsius$) and $\text{MgO}$ ($2852\ \celsius$). The melting points are shown in the figure.

melting point (°C) 1000 2000 3000 −182 0 801 2572 2852 CH4 H2O NaCl CaO MgO
  1. a) Order them from lowest to highest melting point.
  2. b) Explain why methane and water, molecular substances, have such low melting points compared to ionic lattices.
  3. c) Compare $\text{NaCl}$ with $\text{MgO}$ and $\text{CaO}$: what role do charges $1+/1-$ versus $2+/2-$ play?
  4. d) Without knowing its value, predict whether the melting point of $\text{KCl}$ (ions $\text{K}^{+}$ and $\text{Cl}^{-}$) will be closer to that of $\text{NaCl}$ or $\text{MgO}$, and justify your answer.
Solve
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You dissolve $1\ \text{mol}$ of $\text{NaCl}$ in one liter of water and $1\ \text{mol}$ of $\text{CaCl}2$ in another liter. Given:…

You dissolve $1\ \text{mol}$ of $\text{NaCl}$ in one liter of water and $1\ \text{mol}$ of $\text{CaCl}_2$ in another liter. Given: $N_{\text{A}} = 6.022\times10^{23}\ \text{mol}^{-1}$.

  1. a) Calculate the total number of moles of ions in each solution.
  2. b) Calculate how many individual ions each solution contains; express the result in scientific notation with two decimal places in the significand.
  3. c) Explain which of the two solutions will conduct electric current better.
Solve
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Drill bits that drill oil wells have synthetic diamond inserts, manufactured by subjecting graphite to huge pressures and temperatures. a) Explain why diamond is the…

Drill bits that drill oil wells have synthetic diamond inserts, manufactured by subjecting graphite to huge pressures and temperatures.

  1. a) Explain why diamond is the ideal material for cutting rock, based on its structure.
  2. b) Reason why graphite, being the same element, would not be suitable for that tip.
  3. c) Diamond does not conduct electricity and melts above $3500\ \celsius$: explain both properties by looking at where its electrons are located.
Solve
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The negative electrode of lithium-ion cell phone batteries is made of graphite: when charging the phone, $\text{Li}^{+}$ ions are accommodated between its layers, and…

The negative electrode of lithium-ion cell phone batteries is made of graphite: when charging the phone, $\text{Li}^{+}$ ions are accommodated between its layers, and the electrode must also conduct current. The accommodation of ions between the layers is shown in the figure.

Li Li Li Li Li C Li (+1)
  1. a) Explain, based on its layered structure, why graphite can accommodate ions between its layers.
  2. b) Explain why graphite satisfies the requirement of conducting electricity, unlike other covalent materials.
  3. c) Reason why diamond could not be used as a battery electrode.
Solve
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Essay: "Bonding explains the material world". a) Choose salt, water, copper and diamond and, for each substance, explain its melting point, electrical conductivity and…

Essay: "Bonding explains the material world".

  1. a) Choose salt, water, copper and diamond and, for each substance, explain its melting point, electrical conductivity and hardness based on the type of bonding and structure it forms.
  2. b) Conclude by stating in your own words a general rule connecting the structure of a substance (molecules or crystal lattice) with its properties.
Solve

Back to the start: water boils at $100\ ^{\circ}\text{C}$ because only molecules are separated; salt needs to break a lattice of ions. Copper bends because its cations slide in the sea of electrons, whereas in salt ions of the same sign line up and the crystal breaks. Diamond is a rigid 3D lattice and in graphite the layers slide.

Summary

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