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Ions in Aqueous Solutions: Electrolytes, Nonelectrolytes, and Ionic Theory, Study notes of Stoichiometry

An in-depth exploration of ions in aqueous solutions, discussing the concepts of electrolytes, nonelectrolytes, and the ionic theory of solutions. It covers the dissolution of solutes in water, the behavior of ions in solution, and the differences between strong and weak electrolytes.

What you will learn

  • How do acids and bases behave in aqueous solutions according to the Arrhenius concept?
  • How do strong and weak electrolytes behave in aqueous solutions?
  • What is the significance of molar concentration (M) in working with solutions?
  • What is the difference between an electrolyte and a nonelectrolyte?
  • What is the role of the ionic theory of solutions in understanding the behavior of ions in aqueous solutions?

Typology: Study notes

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Types of Chemical Reactions
and
Solution Stoichiometry
Aqueous Solutions
Water is the dissolving
medium, or solvent.
Some Properties of Water
Water is “bent” or V-shaped.
The O-H bonds are covalent.
Water is a polar molecule.
Hydration occurs when salts dissolve in
water.
Figure 4.1: (Left) The water molecule is
polar. (Right) A space-filling model of
the water molecule.
Figure 4.3: (a) The ethanol molecule contains a polar
O—H bond similar to those in the water molecule. (b)
The polar water molecule interacts strongly with the
polar O—H bond in ethanol. This is a case of "like
dissolving like."
A Solute
dissolves in water (or other “solvent”)
changes phase (if different from the solvent)
is present in lesser amount (if the same
phase as the solvent)
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pf4
pf5
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pf9
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Types of Chemical Reactions

and

Solution Stoichiometry

Aqueous Solutions

Water is the dissolving

medium, or solvent.

Some Properties of Water

 Water is “bent” or V-shaped.

 The O-H bonds are covalent.

 Water is a polar molecule.

 Hydration occurs when salts dissolve in

water.

Figure 4.1: (Left) The water molecule is polar. (Right) A space-filling model of the water molecule.

Figure 4.3: (a) The ethanol molecule contains a polar O—H bond similar to those in the water molecule. (b) The polar water molecule interacts strongly with the polar O—H bond in ethanol. This is a case of "like dissolving like."

A Solute

 dissolves in water (or other “solvent”)

 changes phase (if different from the solvent)

 is present in lesser amount (if the same

phase as the solvent)

A Solvent

 retains its phase (if different from the

solute)

 is present in greater amount (if the same

phase as the solute)

Ions in Aqueous Solution

  • Some molecular compounds dissolve but do

not dissociate into ions.

C H O (s)(glucose) C 6 H 12 O 6 (aq ) HO 6 12 6  →^2

Ionic Theory of Solutions

  • These compounds are referred to as nonelectrolytes. They dissolve in water to give a nonconducting solution.

Ions in Aqueous Solution

  • Many ionic compounds dissociate into

independent ions when dissolved in water

Ionic Theory of Solutions

  • These compounds that “freely” dissociate into independent ions in aqueous solution are called electrolytes.
  • Their aqueous solutions are capable of conducting an electric current.

NaCl( s) Na (aq) Cl (aq )

H 2 O

  • − → +

Figure 4.2: Polar water molecules interact with the positive and negative ions of a salt assisting in the dissolving process.

Figure 4.5: When solid NaCl dissolves, the Na+^ and Cl-^ ions are randomly dispersed in the water.

Ions in solution conduct electricity. Strong electrolytes in solution conduct electricity!

Electrolytes

Strong - conduct current efficiently

NaCl, HNO 3

Weak - conduct only a small current

vinegar, tap water

Non - no current flows

pure water, sugar solution

Figure 4.7:

An aqueous

solution of

sodium

hydroxide.

Ions in Aqueous Solution

  • Strong and weak electrolytes.
    • A weak electrolyte is an electrolyte that dissolves in water to give a relatively small percentage of ions.
    • NH 3 (g) + H 2 O (l) º NH 4 OH (aq) NH 4 OH(aq)NH 4 (aq) OH (aq)
  • (^) −

  • – Most soluble molecular compounds are either nonelectrolytes or weak electrolytes.

Ionic Theory of Solutions

Figure

4.9: The

reaction

of NH 3 in

water.

Ions in Aqueous Solution

  • In summary, substances that dissolve in water

are either electrolytes or nonelectrolytes.

Ionic Theory of Solutions: Summary

  • Nonelectrolytes form nonconducting solutions because they dissolve as molecules.
  • Electrolyte s form conducting solutions because they dissolve as ions.

Ions in Aqueous Solution

  • Electrolytes can be strong or weak.
    • Almost all ionic substances that dissolve are strong electrolytes.
    • Molecular substances that dissolve are either nonelectrolytes or weak electrolytes.

Ionic Theory of Solutions: Summary

Working with Solutions

  • Molar concentration , or molarity (M) , is

defined as the moles of solute dissolved in

one liter (cubic decimeter) of solution.

Molar Concentration

litersof solution

molesofsolute Molarity (M) =

Molarity

Molarity ( M ) = moles of solute per volume of

solution in liters:

M

M

molarity

moles of solute

liters of solution

HCl

moles of HCl

liters of solution

Common Terms of Solution

Concentration

Stock - routinely used solutions prepared in

concentrated form.

Concentrated - relatively large ratio of solute

to solvent. (5.0 M NaCl)

Dilute - relatively small ratio of solute to

solvent. (0.01 M NaCl)

Working with Solutions

  • The majority of chemical reactions

discussed here occur in aqueous solution.

  • When you run reactions in liquid solutions, it is convenient to dispense the amounts of reactants by measuring out volumes of reactant solutions.

Figure 4.11: (a) A measuring pipet is graduated and can be used to measure various volumes of liquid accurately. (b) a volumetric (transfer) pipet is designed to measure one volume accurately.

Figure 4.10: Steps involved in

the preparation of a standard

aqueous solution.

Working with Solutions

  • When we dissolve a substance in a liquid,

we call the substance the solute and the

liquid the solvent.

Molar Concentration

  • The general term concentration refers to the quantity of solute in a standard quantity of solution.

Types of Solution Reactions

 Precipitation reactions

AgNO 3 ( aq ) + NaCl( aq ) → AgCl( s ) + NaNO 3 ( aq )

 Acid-base reactions

NaOH( aq ) + HCl( aq ) → NaCl( aq ) + H 2 O( l )

 Oxidation-reduction reactions

Fe 2 O 3 ( s ) + 2 Al( s ) → 2 Fe( s ) + Al 2 O 3 ( s )

Ions in Aqueous Solution

  • A molecular equation is one in which the

reactants and products are written as if they

were molecules, even though they may

actually exist in solution as ions.

Molecular and Ionic Equations

  • Note that Ca(OH) 2 , Na 2 CO 3 , and NaOH are all soluble compounds but CaCO 3 is not.

Ca( OH) 2 ( aq) + Na 2 CO 3 (aq)CaCO 3 (s) + 2 NaOH(aq)

Simple Rules for Solubility

  1. Most nitrate (NO 3 −) salts are soluble.
  2. Most alkali (group 1A) salts and NH 4 +^ are soluble.
  3. Most Cl−, Br−, and I−^ salts are soluble (NOT Ag +, Pb 2+, Hg 2 2+)
  4. Most sulfate salts are soluble (NOT BaSO 4 , PbSO 4 , HgSO 4 , CaSO 4 )
  5. Most OH−^ salts are only slightly soluble (NaOH, KOH are soluble, Ba(OH) 2 , Ca(OH) 2 are marginally soluble)
  6. Most S^2 −, CO 32 −, CrO 42 −, PO 43 −^ salts are only slightly soluble.

Ions in Aqueous Solution

  • An ionic equation , however, represents

strong electrolytes as separate independent

ions. This is a more accurate representation

of the way electrolytes behave in solution.

Molecular and Ionic Equations

  • − + − Ca (aq) 2 OH(aq) 2 Na(aq) CO (aq) 2 3

2

CaCO 3 (s) ↓+ 2 Na +^ (aq) + 2 OH^ − (aq)

  • A complete ionic equation is a chemical equation in which strong electrolytes (such as soluble ionic compounds) are written as separate ions in solution.

Ions in Aqueous Solution

  • Complete and net ionic equations

Molecular and Ionic Equations

  • − + − Ca (aq) 2 NO (aq) 2 K(aq) CO (aq) 2 3 3

2

Ca (NO 3 ) 2 (aq) + K 2 CO 3 (aq)(strong) (strong)^ ( insoluble ) (strong)

CaCO 3 (s) + 2 KNO 3 (aq )

CaCO 3 (s) + 2 K +^ (aq) + 2 NO 3^ − (aq )

Ions in Aqueous Solution

  • Complete and net ionic equations.

Molecular and Ionic Equations

  • A net ionic equation is a chemical equation from which the spectator ions have been removed.
  • A spectator ion is an ion in an ionic equation that does not take part in the reaction. Ca 2 +^ (aq) + 2 NO 3(aq) + 2 K + (aq) + CO 32(aq)CaCO 3 (s) 2 K(aq) 2 NO 3 (aq)

Ions in Aqueous Solution

  • Complete and net ionic equations
    • Separating the strong electrolytes into separate ions, we obtain the complete ionic equation.

Molecular and Ionic Equations

  • 2 H (aq) 2 NO 3 (aq) Mg(OH) 2 (s)

2 H 2 O(l) Mg^2 (aq) 2 NO 3 (aq)

  • Note that the nitrate ions did not participate in the reaction. These are spectator ions.

Ions in Aqueous Solution

  • Complete and net ionic equations
    • Eliminating the spectator ions results in the net ionic equation.

Molecular and Ionic Equations

  • 2 H (aq) 2 NO 3 (aq) Mg(OH) 2 (s)

2 H 2 O(l) Mg^2 (aq) 2 NO 3 (aq)

2 H +^ (aq) + Mg(OH) 2 (s)2 H 2 O(l) + Mg^2^ + (aq ) This equation represents the “essential” reaction.

Figure 4.16: Precipitation of silver chloride by mixing solutions of silver nitrate and potassium chloride. The K+ and NO 3 - ions remain in solution.

Figure 4.17: The reaction of

KCl( aq ) with AgNO 3 to form

AgCl( s ).

Describing Reactions in Solution

1. Molecular equation (reactants and

products as compounds)

AgNO 3 ( aq ) + KCl( aq ) → AgCl( s ) + KNO 3 ( aq )

2. Complete ionic equation (all strong

electrolytes shown as ions)

Ag +( aq ) + NO 3 −( aq ) + K +( aq ) + Cl−( aq ) → AgCl( s ) + K +( aq ) + NO 3 −( aq )

Types of Chemical Reactions Acid-Base Reactions

the H 2 O molecule is the acid because it donates a proton. The NH 3 molecule is a base, because it accepts a proton.

NH 3 (aq) H 2 O(l) → NH 4 (aq) OH^ − (aq)

← +

H+

In the reaction of ammonia with water,

  • The Brønsted-Lowry Concept

Types of Chemical Reactions Acid-Base Reactions

This “mode of transportation” for the H+^ ion is called the hydronium ion.

H (aq) H 2 O(l) H 3 O (aq )

The H+(aq) ion associates itself with water to form H 3 O +(aq).

  • The Brønsted-Lowry Concept

Types of Chemical Reactions Acid-Base Reactions

HNO 3 (aq) H 2 O(l) NO 3 (aq) H 3 O^ + (aq )

The dissolution of nitric acid, HNO 3 , in water is therefore a proton-transfer reaction

  • The Brønsted-Lowry Concept

where HNO 3 is an acid (proton donor) and H 2 O is a base (proton acceptor).

H+

Types of Chemical Reactions Acid-Base Reactions

  • The Arrhenius concept acid: proton (H+^ ) donor

base: hydroxide ion (OH -^ ) donor

  • In summary, the Arrhenius concept and the

Brønsted-Lowry concept are essentially the

same in aqueous solution.

Types of Chemical Reactions Acid-Base Reactions

  • The Brønsted-Lowry concept acid: proton (H+^ ) donor

base: proton (H +^ ) acceptor

  • In summary, the Arrhenius concept and the

Brønsted-Lowry concept are essentially the

same in aqueous solution.

Types of Chemical Reactions Acid-Base Reactions

  • Strong and Weak Acids and Bases
    • A strong acid is an acid that ionizes completely in water; it is a strong electrolyte.

HNO 3 (aq) H 2 O(l) NO 3 (aq) H 3 O (aq )

− (^) +

HCl( aq) H 2 O(l) Cl (aq) H 3 O(aq )

− +

  • – Table 4.3 lists the common strong acids.

Types of Chemical Reactions Acid-Base Reactions

  • Strong and Weak Acids and Bases
    • A strong base is a base that is present entirely as ions, one of which is OH-^ ; it is a strong electrolyte.
    • – The hydroxides of Group IA and IIA elements, except for beryllium hydroxide, are strong bases. (see Table 4.3)

NaOH( s) Na(aq) OH(aq )

  • − → +

H 2 O

Return to Slide 43

Types of Chemical Reactions Acid-Base Reactions

  • Strong and Weak Acids and Bases
    • You will find it important to be able to identify an acid or base as strong or weak.
    • When you write an ionic equation, strong acids and bases are represented as separate ions.
    • Weak acids and bases are represented as undissociated “molecules” in ionic equations.

Types of Chemical Reactions Acid-Base Reactions

  • Strong and Weak Acids and Bases
    • A weak acid is an acid that only partially ionizes in water; it is a weak electrolyte.
    • The hydrogen cyanide molecule, HCN, reacts with water to produce a small percentage of ions in solution.

HCN( aq) H 2 O(l)CN(aq) H 3 O(aq) − +

Types of Chemical Reactions Acid-Base Reactions

  • Strong and Weak Acids and Bases
    • A weak base is a base that is only partially ionized in water; it is a weak electrolyte.
    • Ammonia, NH 3 , is an example.

NH 3 (aq) H 2 O(l) → NH 4 (aq) OH(aq)

← + −

Types of Chemical Reactions Acid-Base Reactions

  • Neutralization Reactions
    • One of the chemical properties of acids and bases is that they neutralize one another.
    • A neutralization reaction is a reaction of an acid and a base that results in an ionic compound and water.
    • The ionic compound that is the product of a neutralization reaction is called a salt.

HCN( aq) + KOH(aq) → KCN(aq) + H 2 O(l )

acid base salt

Performing Calculations for

Acid-Base Reactions

1. List initial species and predict reaction.

2. Write balanced net ionic reaction.

3. Calculate moles of reactants.

4. Determine limiting reactant.

5. Calculate moles of required reactant/product.

6. Convert to grams or volume, as required.

Types of Chemical Reactions Acid-Base Reactions

  • Neutralization Reactions
    • The net ionic equation for each acid-base neutralization reaction involves a transfer of a proton.
    • Consider the reaction of the strong acid , HCl( aq ) and a strong base, LiOH( aq ).

HCl( aq) + KOH(aq)KCl(aq) + H 2 O(l )

Types of Chemical Reactions Acid-Base Reactions

  • Neutralization Reactions
    • Writing the strong electrolytes in the form of ions gives the complete ionic equation.
  • − + −

H (aq) Cl (aq) K (aq) OH(aq)

K (aq) + Cl(aq) + H 2 O(l)

Types of Chemical Reactions Acid-Base Reactions

  • Neutralization Reactions
    • Canceling the spectator ions results in the net ionic equation. Note the proton transfer.
  • − + −

H (aq) Cl (aq) K (aq) OH (aq)

K + (aq) + Cl − (aq) + H 2 O(l)

H+

H (aq) + OH(aq) → H 2 O(l)

Types of Chemical Reactions Acid-Base Reactions

  • Neutralization Reactions
    • In a reaction involving HCN( aq ), a weak acid, and KOH( aq ), a strong base, the product is KCN, a strong electrolyte.
    • The net ionic equation for this reaction is

HCN( aq) + OH(aq) → CN(aq) + H 2 O(l )

− −

H+^

Note the proton transfer.

Types of Chemical Reactions Acid-Base Reactions

  • Acid-Base Reactions with Gas Formation
    • Sulfides react with acids to form H 2 S, hydrogen sulfide gas.

Na (^) 2 S + 2 HCl → 2 NaCl + H 2 S

  • These reactions are summarized in Table 4.4.

Types of Chemical Reactions Acid-Base Reactions

  • Acid-Base Reactions with Gas Formation
    • Carbonates react with acids to form CO 2 , carbon dioxide gas.

Na 2 CO 3 + 2 HCl2 NaCl + H 2 O + CO 2

  • Sulfites react with acids to form SO 2 , sulfur dioxide gas. Na 2 SO 3 + 2 HCl2 NaCl + H 2 O + SO 2

Acid/Base Reactions

Return to Slide 52

Types of Chemical Reactions

  • Oxidation-Reduction Reactions
    • Oxidation-reduction reactions involve the transfer of electrons from one species to another.
    • Oxidation is defined as the loss of electrons.
    • Reduction is defined as the gain of electrons.
    • Oxidation and reduction always occur simultaneously.

Figure 4.19: The reaction of solid sodium and gaseous chlorine to form solid sodium chloride.

Figure 4.13: Combination reaction.

Return to Slide 63

Figure 4.20: A

summary of an

oxidation-

reduction

process, in

which M is

oxidized and X

is reduced.

Types of Chemical Reactions

  • Describing Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • Look again at the reaction of iron with copper(II) sulfate.

Fe( s) Cu (aq) Fe (aq) Cu(s ) 2 2

  • → +
  • We can write this reaction in terms of two half- reactions.

Types of Chemical Reactions

  • Describing Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • A half-reaction is one of the two parts of an oxidation-reduction reaction. One involves the loss of electrons (oxidation) and the other involves the gain of electrons (reduction).
  • Fe( s)Fe (aq) + 2 e

2

Cu (aq) 2 e Cu(s) 2

oxidation half-reaction

reduction half-reaction

Types of Chemical Reactions

  • Describing Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • An oxidizing agent is a species that oxidizes another species; it is itself reduced.
  • A reducing agent is a species that reduces another species; it is itself oxidized.

Fe( s) Cu (aq) Fe (aq) Cu(s ) 2 2

  • → +

oxidizing agent

reducing agent

Loss of 2 e -^ oxidation

Gain of 2 e-^ reduction

Types of Chemical Reactions

  • Balancing Simple Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • At first glance, the equation representing the reaction of zinc metal with silver(I) ions might appear to be balanced.

Zn( s) Ag (aq) Zn (aq) Ag(s ) 2

  • → +
  • However, a balanced equation must have a charge balance as well as a mass balance.

Types of Chemical Reactions

  • Balancing Simple Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • Since the number of electrons lost in the oxidation half-reaction must equal the number gained in the reduction half-reaction,

we must double the reaction involving the reduction of the silver.

Zn( s)Zn^2 +^ (aq) + 2 e^ − Ag (aq) + eAg(s)

oxidation half-reaction

2 2 2 reduction half-reaction

Types of Chemical Reactions

  • Balancing Simple Oxidation-Reduction Reactions

Oxidation-Reduction Reactions

  • Adding the two half-reactions together, the electrons cancel, + −

Zn( s) → Zn (aq) + 2 e

2

2 Ag + (aq) + 2 e −→ 2 Ag(s)

oxidation half-reaction

_____________________________________ reduction half-reaction Zn (s) + 2 Ag 2+^ (aq) º Zn2+^ (aq) + 2 Ag (s)

Figure 4.12: The burning of calcium metal in chlorine. Photo courtesy of James Scherer.

Return to Slide 62

Ca (s) + Cl 2 (g) º CaCl 2 (s) Ca º Ca 2+^ + 2 e -

Cl 2 + 2 e -^ º 2 Cl-

Ca (s) + Cl 2 (g) º CaCl 2 (s)

Rules for Assigning Oxidation States

1. Oxidation state of an atom in an element = 0

2. Oxidation state of monatomic element = charge

3. Oxygen = −2 in covalent compounds (except in

peroxides where it = −1)

4. H = +1 in covalent compounds

5. Fluorine = −1 in compounds

6. Sum of oxidation states = 0 in compounds

Sum of oxidation states = charge of the ion

Balancing by Half-Reaction

Method

1. Write separate reduction, oxidation

reactions.

2. For each half-reaction:

 Balance elements (except H, O)

 Balance O using H 2 O

 Balance H using H+

 Balance charge using electrons

Half-Reaction Method -

Balancing in Base

1. Balance as in acid.

2. Add OH−^ that equals H+^ ions (both

sides!)

3. Form water by combining H+^ , OH−.

4. Check elements and charges for balance.

Balancing by Half-Reaction

Method (continued)

3. If necessary, multiply by integer to

equalize electron count.

4. Add half-reactions.

5. Check that elements and charges are

balanced.

Stoichiometry Steps for reactions

in solution.