1.7.4

Balancing Equations & Ionic Equations

Test yourself

Balanced Equations

Balanced equations are absolutely crucial to any kind of quantitative chemistry.

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What are they?

  • There are a few key features of balanced equations:
    • They must have an equal number of atoms on either side.
    • You add more atoms by adding reactants or products to either side.
      • There's no method to do this apart from trial and error - just find what works.
  • Remember atoms are rearranged in chemical reactions, so there needs to be an equal number of atoms of each element either side of the equation.
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Why are they useful?

  • Balanced equations can be used to calculate masses of reactants and volumes of gases.
    • We'll demonstrate these via some worked examples in this session.
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Titration

  • Titration is an experimental technique for finding the concentrations of solutions.
    • Titrations use balanced equations to calculate the concentration of an unknown solution from a volume of a known solution.
    • The experimental technique involves the use of a burette, and often an indicator.
    • A small volume of solution is dropped from the burette into the reaction flask. This is repeated until the indicator shows no further reaction happening.
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Molecular equations

  • When aqueous solutions of CaCl2 and AgNO3 are mixed, a reaction takes place producing aqueous Ca(NO3)2 and solid AgCl:
  • CaCl2(aq)+2AgNO3(aq)⟶Ca(NO3)2(aq) +2AgCl(s)
  • This balanced equation, derived in the usual fashion, is called a molecular equation
    • This is because it doesn’t explicitly represent the ionic species that are present in solution.

State Symbols

State symbols are letters that tell us what state of matter a substance is in. There are four different state symbols:

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(s)

  • (s) is used for solids.
    • E.g. Mg(s)
    • E.g. Na(s)
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(l)

  • (l) is used for pure liquids.
    • E.g. H2O(l)
    • E.g. Hg(l) (mercury is liquid at room temperature).
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(aq)

  • (aq) is used for aqueous solutions (substances dissolved in water), and therefore it is used more often than (l).
    • E.g. NaOH(aq)
    • E.g. H2SO4(aq)
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(g)

  • (g) is used for gases.
    • E.g. H2(g)
    • E.g. CO2(g)
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Why are they useful?

  • State symbols are useful to chemists because the state a reactant is produced in can affect experimental techniques.
    • For example, you wouldn't want to carry out a reaction that generates 30 moles of CO2(g) in a 10cm3 sealed vessel - it would explode.
    • If you left your state symbols out, you might try this.

Ionic Equations

Ionic equations are used to describe reactions in solution.

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Ionic solids

  • When ionic compounds dissolve in water, they may dissociate into their constituent ions.
  • These ions are subsequently dispersed homogenously throughout the resulting solution.
  • Ionic compounds dissolved in water are, therefore, more realistically represented as dissociated ions, in this case:
    • E.g. NaCl(aq) ⇌ Na+(aq) + Cl−(aq)
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Ionic equations

  • Net ionic equations are equations that have excluded all the non-reacting spectator ions.
    • The charge on either side of the ionic equation should be equal.
  • Complete ionic equations show spectator ions.
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Complete ionic equations

  • Explicitly representing all dissolved ions results in a complete ionic equation.

    • The formulas for the dissolved ionic compounds are replaced by formulas for their dissociated ions:

  • Ca2+(aq) +2Cl-(aq)+ 2Ag+(aq)+2NO3−(aq)⟶Ca2+(aq) +2NO3−(aq)+2AgCl(s)

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Spectator ions

  • Examining the previous equation shows that two chemical species are present in identical form on both sides of the arrow:
  • Ca2+(aq) and NO3−(aq).
    • These are spectator ions.
  • Spectator ions presence is required to maintain charge neutrality.
  • Spectator ions are neither chemically nor physically changed by a reaction.
    • So, they may be eliminated from the equation to yield a more succinct representation called a net ionic equation.
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Net ionic equations

  • The net ionic equation for the above reaction is:

    • Cl−(aq)+Ag+(aq)⟶AgCl(s)

  • This net ionic equation indicates that solid silver chloride may be produced from dissolved chloride and silver(I) ions.

  • This is regardless of the source of these ions.
    • Molecular and complete ionic equations provide additional information, namely, the ionic compounds used as sources of Cl- and Ag+.

Jump to other topics

1Structure - Models of the Particulate of Matter

1.1Introduction to the Particulate Model of Matter

1.1.1States of Matter

1.1.2Kinetic Molecular Theory

1.1.3Simple Sphere

1.1.4Changing State

1.1.5Forces Between Particles

1.1.6Changes of State

1.1.7Predicting States

1.1.8Changing State HyperLearning

1.1.9Ionization Energy

1.2The Nuclear Atom

1.2.1Fundamental Particles

1.2.2Isotopes & Mass Number

1.2.3Mass Spectrometry

1.2.4Mass Spectrometry

1.2.5Mass Spectroscopy - Analysis

1.2.6Extended Response - Mass Spectrometry

1.2.7Radioactivity

1.3Electron Configuration

1.3.1Electron Shells, Sub-Shells & Orbitals

1.3.2Electron Configuration

1.3.3Absorption & Emission Spectra

1.3.4IB Multiple Choice - Atomic Structure

1.3.5Extended Response - The Atom & Electrons

1.4Counting Particles by Mass: The Mole

1.4.1Relative Masses

1.4.2The Mole

1.4.3IB Multiple Choice - Moles

1.5Ideal Gases

1.5.1Ideal Gas Equation

1.5.2Gas Laws

1.5.3IB Multiple Choice - Gases & Kinetics

1.6Elements, Compounds & Mixtures

1.6.1Fundamental Particles

1.6.2Pure Substances

1.6.3Purity & The Law of Definite Proportion

1.6.4Mixtures

1.6.5Separating Mixtures

1.6.6IB Multiple Choice - Pure Substances

1.6.7Extended Response - Moles & Pure Substances

1.7States of Matter & Changes of State

1.7.1States of Matter

1.7.2Particle Diagrams

1.7.3IB Multiple Choice - Solids, Liquids, & Gases

1.7.4Balancing Equations & Ionic Equations

1.7.5Empirical & Molecular Formulas

1.8Reacting Masses &. Volumes

1.8.1Balancing Equations & Ionic Equations

1.8.2Percentage Yield

1.9Solutions

1.9.1Molarity

1.9.2Particulate Model of Solutions

2Structure - Models of Bonding & Structure

2.1The Ionic Model

2.1.1Ionic Bonding

2.2The Covalent Model

2.2.1Covalent Bonds

2.2.2Complex Ions

2.2.3Factors Affecting Covalent Bond Strength

2.2.4Polarity

2.3Covalent Structures

2.3.1Ionic Lewis Structures

2.3.2Covalent Lewis Structures

2.3.3VSEPR Theory

2.3.4Resonance Structures

2.3.5Allotropes of Carbon

2.3.6Formal Charge

2.3.7End of Topic Quiz - Bonding

2.3.8IB Multiple Choice - Bonding & Lewis Structures

2.3.9IB Multiple Choice - Resonance & Formal Charge

2.4The Metallic Model

2.4.1Metallic Bonding

2.5From Models to Materials

2.5.1Alloys

2.5.2Properties of Polymers

2.5.3Polymerisation Reactions

2.5.4Introduction to Alkenes

2.5.5Reactions of Alkenes

2.5.6End of Topic Quiz - Alkenes

2.6Valence Electrons & Ionic Compounds

2.6.1Valence Electrons & Forming Ions

2.6.2Ionic Compounds

2.6.3End of Topic Quiz - Atoms & Ions

2.6.4IB Multiple Choice - Valence & Ions

2.7Molecular Shape

2.7.1VSEPR

2.7.2Molecular Shapes

2.7.3Bond Hybridization

2.7.4IB Multiple Choice - VSEPR & Bond Hybridization

2.7.5Extended Response - Bonding & Molecular Shape

2.8Intermolecular Forces

2.8.1Introduction to Intermolecular Forces

2.8.2London Dispersion Forces

2.8.3Dipole-Dipole Interactions

2.8.4Ion-Dipole Interactions

2.8.5Hydrogen Bonding

2.8.6Large Biomolecules

2.8.7IB Multiple Choice - Intermolecular Forces

2.8.8Extended Response - Hydrogen Bonding

3Structure - Classification of Matter

3.1The Periodic Table: Classification of Elements

3.1.1The Periodic Table

3.1.2Trends in the Periodic Table

3.1.3End of Topic Quiz - Periodicity & Trends

3.1.4Periodic Trends - Electronegativity & Affinity

3.1.5End of Topic Quiz - Periodic Trends

3.1.6IB Multiple Choice - Periodic Trends

3.1.7Extended Response - Periodic Table

3.2Periodic Trends

3.2.1Atomic & Ionic Radii

3.2.2Ionisation & Electronegativity

3.2.3Metallic Behaviour & Oxides

3.2.4Period 3 Elements & Oxides

3.2.5Period 3 Oxides

3.2.6End of Topic Quiz - Period 3

3.2.7Periodic Trends: Blocks

3.2.8Redox Chemistry

3.3Group 1 Alkali Metals

3.3.1Alkali Metals

3.4Halogens

3.4.1Introduction to Halogens

3.4.2Reactions of Halogens

3.4.3Chlorine & Chlorate(I)

3.4.4End of Topic Quiz - Group 7

3.4.5Exam-Style Question - Group 7

3.4.6End of Topic Quiz - Periodicity, Group 2 & 7

3.5Noble gases, group 18

3.5.1Noble Gases

3.6Functional Groups: Classification of Organic

3.6.1Nomenclature

3.6.2Trends in Physical Properties

3.6.3Saturated & Unsaturated Hydrocarbons

3.6.4Nomenclature contd.

3.6.5Types of Formulas

3.6.6Isomerism

3.6.7Formulae

3.6.8Homologous Series

3.6.9Structural Isomers

3.7Functional Group Chemistry

3.7.1Degrees of Substitution

3.7.2Arenes

3.8Alkanes

3.8.1Alkanes

3.8.2Fractional Distillation

3.8.3Cracking

3.8.4Combustion

3.8.5Chlorination

3.8.6End of Topic Quiz - Alkanes

3.9Alcohols

3.9.1Production of Alcohols

3.9.2Oxidation of Alcohols

3.9.3Oxidation of Alcohols - 2

3.9.4Elimination Reactions

3.9.5End of Topic Quiz - Alcohols

3.9.6Exam-Style Question - Alcohols

3.10Halogenoalkanes

3.10.1Substitution Reactions

3.10.2Elimination Reactions

3.10.3Ozone Depletion

3.10.4End of Topic Quiz - Halogenoalkanes

4Reactivity - What Drives Chemical Reaction?

4.1Endothermic & Exothermic Reactions

4.1.1Endothermic & Exothermic Reactions

4.1.2Energy Diagrams

4.1.3Heat Transfer & Thermal Equilibrium

4.1.4IB Multiple Choice - Enthalpy & Energy

4.2Enthalpy of Reaction, Formation, & Hess' Law

4.2.1Enthalpy of Reaction

4.2.2Bond Enthalpies

4.2.3Enthalpy of Formation

4.2.4Hess’ Law

4.2.5Thermodynamics & Kinetic Control

4.2.6End of Topic Quiz - Thermodynamics

4.2.7IB Multiple Choice - Enthalpy

4.2.8Extended Response - Enthalpy Change

4.3Entropy

4.3.1Introduction to Entropy

4.3.2Absolute Entropy & Entropy Change

4.3.3Free Energy

4.3.4Thermodynamically Favorable Reactions

4.3.5IB Multiple Choice - Entropy & Free Energy

4.3.6Extended Response - Free Energy

5Reactivity - How Much, How Fast & How Far?

5.1Kinetics

5.1.1Collision Theory & Rates of Reaction

5.1.2Maxwell-Boltzmann Distribution

5.1.3Increasing Rates

5.1.4End of Topic Quiz - Kinetics

5.2Rates of Reaction

5.2.1Rate Equations

5.2.2Rate Equations 2

5.2.3The Effect of a Catalyst

5.3Stoichometry

5.3.1Stoichiometry

5.4Le Châtelier’s Principle

5.4.1Introduction to Le Châtelier’s Principle

5.4.2Reaction Quotient & Le Châtelier’s Principle

5.4.3Temperature & Le Châtelier’s Principle

5.4.4IB Multiple Choice -Le Châtelier’s Principle

5.4.5Extended Response - Le Châtelier

5.5Introduction to Equilibrium

5.5.1Equilibrium & Equilibrium Graphs

5.5.2Dynamic Equilibria

5.5.3Reversible Reactions & Directions

5.6Equilibrium Constant

5.6.1Calculating the Equilibrium Constant

5.6.2Magnitude of the Equilibrium Constant

5.6.3Properties of the Equilibrium Constant

5.6.4Calculating Equilibrium Concentrations

5.6.5Representations of Equilibrium

5.6.6IB Multiple Choice - Equilibrium Constants

5.6.7Extended Response - Calculating Kc

5.7Reaction Quotient & Equilibrium Constant

5.7.1Reaction Quotient

5.7.2Equilibrium Constants

5.7.3Partial Pressures

5.7.4Kp

5.7.5IB Multiple Choice - Reaction Quotient & Kp

5.7.6Extended Response - Kp & Bond Enthalpy

6Reactivity - The Mechanisms of Chemical Change

6.1Proton Transfer Reactions

6.1.1Brønsted-Lowry Theory

6.2The pH Scale

6.2.1pH & pOH

6.2.2Ionic Product of Water

6.2.3Using Kw

6.2.4IB Multiple Choice - pH & Kw

6.2.5Extended Response - Kw

6.3Strong & Weak Acids and Bases

6.3.1Strong Acids & Bases

6.3.2Weak Acids & Ka

6.3.3Weak Bases & Kb

6.3.4Weak Acids & Bases Calculation Walkthrough

6.4Acid Deposition

6.4.1Acid Deposition

6.5Types of Organic Reactions

6.5.1Electrophilic Substitution

6.6Oxidation & Reduction

6.6.1Oxidation Number Method

6.6.2Winkler Method

6.6.3Redox Reactions

6.6.4Oxidation States & Equations

6.6.5End of Topic Quiz - Redox

6.6.6Extended Response - Redox Reactions

6.7Electrochemical Cells

6.7.1Introduction to Electrochemical Cells

6.7.2Galvanic Cells

6.7.3Cell Notation

6.7.4Electrolytic Cells

6.7.5Extended Response - Voltaic Cells & Redox

6.8Titration

6.8.1Redox Titrations

6.8.2Titration Calculations

6.8.3Atom Economy

6.9Acid-Base Titrations

6.9.1Titration Calculation Weak Acid & Strong Base

6.9.2Titration Experimental Detail

6.9.3Extended Response - Titration

6.9.4Titration Calculations

6.9.5Titration Curves

6.9.6Titration Calculation Strong Acid & Weak Base

6.9.7IB Multiple Choice - Titrations

6.9.8Polyprotic Acids

6.9.9Titration Calculations Strong Acid & Strong Base

6.9.10Titrations Curves 2

7Measurement, Data Processing & Analysis

7.1Uncertainties & Errors in Measurements & Results

7.1.1Qualitative & Quantitative data

7.2Graphical Techniques

7.2.1Drawing & Interpreting Graphs

7.2.2Linear Interpolation

7.3Spectroscopic Identification of Organic Compounds

7.3.1Understanding NMR

7.3.2Carbon-13 NMR

7.3.3Hydrogen-1 NMR

7.3.4Hydrogen-1 NMR 2

7.3.5End of Topic Quiz - NMR

7.4Infrared Spectroscpy

7.4.1Infrared Spectroscopy

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IB Multiple Choice - Solids, Liquids, & Gases

Empirical & Molecular Formulas