Acids, Bases, and Equilibrium Systems

Site: Young Education
Cours: Solutions and Chemical Equilibrium
Livre: Acids, Bases, and Equilibrium Systems
Imprimé par: ゲストユーザ
Date: lundi 5 octobre 2026, 03:04

1. Strong and Weak Acids

Learning outcomes
  • I can distinguish between strong and weak acids.
  • I can explain acid strength in terms of ionization.
  • I can compare pH and acid strength.
  • I can identify examples of strong and weak acids.
  • I can explain equilibrium in weak acid systems.

Strong and Weak Acids

Acids differ in how completely they ionize in water.

A strong acid ionizes essentially completely in water.

A weak acid ionizes only partially, so a weak-acid solution contains a mixture of un-ionized acid molecules and ions. Acid strength therefore depends on the extent of ionization, not simply on how concentrated the solution is.

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What Does Acid Strength Mean?

Acid strength describes how readily an acid donates hydrogen ions when it is dissolved in water.

A general acid can be represented as:

HA

When it reacts with water:

HA + H₂O → H₃O⁺ + A⁻

For simplicity, this is also often written as:

HA → H⁺ + A⁻

The important question is:

How much of the acid ionizes?

If almost all of it ionizes, the acid is strong.

If only a small fraction ionizes, the acid is weak.


Strong Acids

A strong acid ionizes essentially completely in water.

For example:

HCl → H⁺ + Cl⁻

This means that in an aqueous hydrochloric acid solution, nearly all of the HCl has produced ions.

The solution therefore contains many:

  • H⁺ or H₃O⁺ ions
  • Cl⁻ ions

and very few intact HCl molecules.

Strong acids are strong electrolytes because their solutions contain many mobile ions.


Examples of Strong Acids

Common strong acids include:

  • hydrochloric acid, HCl
  • nitric acid, HNO₃
  • hydrobromic acid, HBr
  • hydroiodic acid, HI
  • perchloric acid, HClO₄

Sulfuric acid, H₂SO₄, is also commonly classified as a strong acid because its first ionization is essentially complete.

For introductory chemistry, hydrochloric acid and nitric acid are especially useful examples.


Weak Acids

A weak acid ionizes only partially in water.

For example, ethanoic acid can be represented as:

CH₃COOH ⇌ H⁺ + CH₃COO⁻

Only some ethanoic acid molecules form ions.

The solution therefore contains:

  • many CH₃COOH molecules
  • some H⁺ or H₃O⁺ ions
  • some CH₃COO⁻ ions

Weak acids are therefore weak electrolytes compared with strong acids of similar concentration.

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Examples of Weak Acids

Common weak acids include:

  • ethanoic acid, CH₃COOH
  • methanoic acid, HCOOH
  • carbonic acid, H₂CO₃
  • hydrofluoric acid, HF

Many organic acids, including those found in foods, are weak acids.


Strong vs Weak Acids

Strong Acid Weak Acid
Ionizes essentially completely.   Ionizes only partially
Produces many ions Produces fewer ions at the same concentration
Very little un-ionized acid remains Many acid molecules remain un-ionized
Usually shown with a single arrow Usually shown with an equilibrium arrow
Example: HCl Example: CH₃COOH

The most important difference is:

strong acid = extensive ionization

weak acid = partial ionization


Particle View of Acid Strength

Imagine two solutions containing the same initial concentration of acid.

In the strong acid solution, most acid particles are represented as separate ions.

For example:

H⁺ A⁻ H⁺ A⁻ H⁺ A⁻

In the weak acid solution, most particles remain together as HA molecules:

HA HA HA H⁺ A⁻ HA

This particle-level difference is the key to understanding acid strength.


Strong Does Not Mean Concentrated

A common mistake is to confuse strength with concentration.

They describe different ideas.

Strength

describes how completely the acid ionizes.

Concentration

describes how much acid is present in a given volume.

Therefore, it is possible to have:

  • a dilute strong acid
  • a concentrated strong acid
  • a dilute weak acid
  • a concentrated weak acid

A dilute strong acid still ionizes essentially completely, even though relatively little acid is present.

A concentrated weak acid contains a large amount of acid, but only a fraction of it ionizes.


Comparing Strength and Concentration

Suppose Solution A contains dilute hydrochloric acid.

Hydrochloric acid is strong.

Suppose Solution B contains concentrated ethanoic acid.

Ethanoic acid is weak.

Solution B may contain more total acid molecules than Solution A, but that does not make ethanoic acid a strong acid.

The classification depends on ionization, not simply the quantity present.


Acid Strength and pH

The pH of an acidic solution depends mainly on the concentration of hydrogen ions.

Lower pH means:

higher H⁺ concentration

Higher pH means:

lower H⁺ concentration

At the same acid concentration, a strong acid usually has a lower pH than a weak acid because the strong acid produces more hydrogen ions.

For example:

0.10 mol/L strong acid → extensive ionization

0.10 mol/L weak acid → partial ionization

The strong acid normally has the greater H⁺ concentration and therefore the lower pH.


pH Does Not Directly Tell You Acid Strength

A lower pH does not automatically mean that the acid itself is stronger.

Why?

Because pH also depends on concentration.

For example, a very concentrated weak acid can sometimes have a lower pH than a very dilute strong acid.

Therefore:

pH describes the acidity of a particular solution

while:

acid strength describes the tendency of the acid to ionize

These are related, but they are not identical.


Example: Same Concentration

Suppose we compare:

0.10 mol/L HCl

and:

0.10 mol/L CH₃COOH

HCl is strong, so it ionizes essentially completely.

CH₃COOH is weak, so it only partially ionizes.

Therefore, the HCl solution has:

  • more H⁺ ions
  • lower pH
  • greater electrical conductivity

at the same initial acid concentration.


The pH Scale

The pH scale is commonly used to describe how acidic or alkaline a solution is.

For typical aqueous solutions:

pH below 7 → acidic

pH 7 → neutral

pH above 7 → alkaline

Within acidic solutions:

lower pH → greater hydrogen ion concentration


Weak Acids and Equilibrium

Weak acids are especially important because their ionization is reversible.

For a general weak acid:

HA ⇌ H⁺ + A⁻

The double arrow means that both processes occur:

Forward reaction:

HA forms H⁺ and A⁻.

Reverse reaction:

H⁺ and A⁻ combine to form HA.

Eventually, the system reaches dynamic equilibrium.


Dynamic Equilibrium

At equilibrium:

rate of forward reaction = rate of reverse reaction

This does not mean the reactions stop.

Acid molecules continue to ionize.

At the same time, ions continue to recombine.

However, because the two rates are equal, the concentrations remain approximately constant.


Particle View of Weak-Acid Equilibrium

Imagine a weak acid solution.

Some particles are:

HA

Others are:

H⁺ and A⁻

At any moment:

HA molecules may separate into ions.

At the same time:

H⁺ and A⁻ ions may recombine.

So the solution contains a changing population of particles, but the overall proportions remain stable once equilibrium is established.


Why Strong Acids Are Treated Differently

For a strong acid, ionization is so extensive that the reverse process is negligible under normal aqueous conditions.

Therefore, strong acid equations are commonly represented using a single arrow:

HCl → H⁺ + Cl⁻

Weak acids use equilibrium arrows:

CH₃COOH ⇌ H⁺ + CH₃COO⁻

This difference in notation reflects the difference in the extent of ionization.


Acid Ionization Constant

The strength of a weak acid can be compared quantitatively using the acid ionization constant, Kₐ.

For:

HA ⇌ H⁺ + A⁻

Kₐ can be represented as:

Kₐ = [H⁺][A⁻] ÷ [HA]

A larger Kₐ means a greater proportion of the acid is ionized.

Therefore:

larger Kₐ → stronger weak acid

smaller Kₐ → weaker acid

For weak acids, Kₐ provides a more precise comparison than simply calling them all "weak."


Comparing Two Weak Acids

Suppose:

Acid A has Kₐ = 1 × 10⁻³

Acid B has Kₐ = 1 × 10⁻⁶

Acid A has the larger Kₐ.

Therefore, Acid A ionizes to a greater extent.

Acid A is the stronger acid of the two.

Both may still be classified as weak acids.


Percent Ionization

Another useful measure is percent ionization.

It describes what percentage of the original acid molecules have ionized.

For example:

100 acid molecules initially present

5 molecules ionize

Percent ionization = 5%

A weak acid typically has only partial ionization.

A strong acid has essentially complete ionization.

For weak acids, percent ionization also depends on concentration, so it is not an intrinsic constant in the same way as Kₐ.


Equilibrium Position and Acid Strength

Consider:

HA ⇌ H⁺ + A⁻

If the equilibrium lies mainly to the left:

  • mostly HA remains
  • relatively few ions form
  • acid is weaker

If the equilibrium lies further to the right:

  • more H⁺ and A⁻ form
  • greater ionization occurs
  • acid is stronger

Therefore, acid strength can be thought of in terms of where the equilibrium lies.


What Happens When H⁺ Is Removed?

Suppose H⁺ ions are removed from a weak-acid equilibrium:

HA ⇌ H⁺ + A⁻

The equilibrium can respond by producing more H⁺.

More HA ionizes.

The system shifts toward the products until a new equilibrium is established.

This behavior is an application of Le Châtelier's principle.


What Happens When H⁺ Is Added?

If extra H⁺ is added:

HA ⇌ H⁺ + A⁻

the system responds by favoring the reverse reaction.

More H⁺ and A⁻ combine to form HA.

Therefore, the equilibrium shifts toward the un-ionized acid.


Dilution and Weak-Acid Ionization

When a weak acid is diluted with water, the percentage of acid molecules that ionize generally increases.

However, the total H⁺ concentration usually decreases because the solution has been diluted.

This produces an important distinction:

After dilution:

  • percent ionization may increase
  • H⁺ concentration decreases overall
  • pH increases

So a weak acid can become more ionized proportionally while the solution becomes less acidic overall.


Electrical Conductivity

Acid solutions conduct electricity because they contain mobile ions.

At the same concentration:

Strong acid:

  • more ions present
  • generally greater electrical conductivity

Weak acid:

  • fewer ions present
  • generally lower conductivity

This provides experimental evidence for differences in ionization.


Strong and Weak Acids in Reactions

Strong and weak acids can both react with substances such as:

  • bases
  • carbonates
  • reactive metals

For example:

acid + base → salt + water

acid + carbonate → salt + water + carbon dioxide

The word "weak" does not mean that a weak acid cannot react.

It means that it ionizes only partially in water.


Strong Does Not Mean Dangerous

The terms strong and weak describe ionization, not overall hazard.

A concentrated weak acid can still be harmful.

A very dilute strong acid may pose less immediate risk than a concentrated weak acid.

Chemical hazard depends on several factors, including:

  • concentration
  • corrosiveness
  • toxicity
  • amount
  • exposure route

Therefore:

strong ≠ automatically more dangerous


Worked Example: Identify Acid Strength

A particle diagram shows almost every HA particle separated into H⁺ and A⁻ ions.

What does this suggest?

The acid is strong because it has ionized almost completely.


Worked Example: Weak Acid Diagram

A solution contains:

90 HA molecules

10 H⁺ ions

10 A⁻ ions

Most acid particles remain un-ionized.

Therefore, the acid is weak.


Worked Example: Comparing Equal Concentrations

Two acids have the same concentration.

Acid X ionizes almost completely.

Acid Y ionizes only 2%.

Which has the lower pH?

Acid X.

Why?

It produces a larger concentration of H⁺ ions.


Worked Example: Strength vs Concentration

Solution A is 0.001 mol/L HCl.

Solution B is 1.0 mol/L CH₃COOH.

Which acid is stronger?

HCl is the stronger acid.

This is true even though the HCl solution is much more dilute.

Strength refers to the extent of ionization.

The pH of the two particular solutions, however, must be determined from their H⁺ concentrations rather than acid labels alone.


Worked Example: Equilibrium

Consider:

HA ⇌ H⁺ + A⁻

A solution contains mostly HA and only small amounts of H⁺ and A⁻.

What does this tell us?

The equilibrium favors the left side.

Only a small fraction of HA is ionized.

Therefore, HA is a weak acid.


Worked Example: Comparing Kₐ

Acid X:

Kₐ = 4.0 × 10⁻⁴

Acid Y:

Kₐ = 2.0 × 10⁻⁷

Which is stronger?

Acid X has the larger Kₐ.

Therefore:

Acid X is stronger than Acid Y.


A Useful Analysis Strategy

When comparing acids, ask:

1. Is the question about strength or concentration?

Strength → extent of ionization

Concentration → amount of acid per volume

2. How much of the acid ionizes?

Nearly all → strong

Only some → weak

3. Are the concentrations equal?

If yes, the stronger acid generally produces more H⁺ and a lower pH.

4. Is equilibrium shown?

A reversible equilibrium is characteristic of weak-acid ionization.

5. Is Kₐ given?

Larger Kₐ → stronger acid.


Common Misconceptions

A strong acid is always concentrated.

Incorrect. A strong acid can be very dilute.

A weak acid is always dilute.

Incorrect. A weak acid can be concentrated.

Weak acids do not produce H⁺ ions.

Incorrect. They produce H⁺ ions, but only a fraction of the acid ionizes.

A strong acid always has a lower pH than a weak acid.

Not necessarily. Concentration must also be considered.

Weak acids do not react strongly with other substances.

The word weak refers specifically to partial ionization, not to whether a reaction can occur.

Weak-acid equilibrium means the reaction has stopped.

Incorrect. Both forward and reverse reactions continue at equal average rates.

Kₐ is the same as concentration.

Incorrect. Kₐ describes the equilibrium tendency of a particular weak acid to ionize.

Strong acids are always more dangerous than weak acids.

Incorrect. Hazard also depends on concentration and the properties of the substance.

Did You Know?

Hydrofluoric acid, HF, is classified as a weak acid because it only partially ionizes in water.

However, it is still extremely hazardous.

This is an excellent reminder that:

acid strength describes ionization, not safety.

Key Terms

Strong acid – An acid that ionizes essentially completely in water.

Weak acid – An acid that ionizes only partially in water.

Ionization – Formation of ions from molecules in solution.

Hydrogen ion, H⁺ – The ion associated with acidic behavior.

Hydronium ion, H₃O⁺ – The species formed when a proton is transferred to a water molecule.

Equilibrium – A state in which forward and reverse reactions occur at equal rates.

Dynamic equilibrium – An equilibrium in which reactions continue even though overall concentrations remain constant.

Acid strength – The extent to which an acid ionizes.

Concentration – The amount of substance present per unit volume.

Kₐ – The acid ionization constant used to compare weak-acid strength.

Percent ionization – The percentage of the original acid that becomes ionized.

Conjugate base – The species remaining after an acid donates a proton.

Key Takeaways

  • Strong acids ionize essentially completely in water.
  • Weak acids ionize only partially.
  • Acid strength depends on the extent of ionization.
  • Strong and concentrated do not mean the same thing.
  • Weak and dilute do not mean the same thing.
  • At the same concentration, strong acids usually produce more H⁺ and therefore have lower pH than weak acids.
  • pH depends on H⁺ concentration, so concentration must also be considered when comparing different solutions.
  • Strong acid solutions contain mostly ions.
  • Weak acid solutions contain both un-ionized acid molecules and ions.
  • Weak acids establish a dynamic equilibrium between ionized and un-ionized forms.
  • Larger Kₐ values indicate stronger weak acids.
  • Weak-acid equilibrium continues in both directions even when concentrations appear constant.
  • Acid strength describes ionization and does not by itself describe chemical hazard.

2. Strong and Weak Bases

Learning outcomes
  • I can distinguish between strong and weak bases.
  • I can explain base strength in terms of ionization.
  • I can compare strong and weak bases using particle models.
  • I can identify examples of strong and weak bases.
  • I can explain equilibrium in weak base systems.

3. Buffer Solutions

Learning outcomes
  • I can define a buffer solution.
  • I can explain how buffers resist changes in pH.
  • I can describe the importance of buffers in living systems.
  • I can identify common buffer systems.
  • I can explain buffer action using equilibrium concepts.

4. Equilibrium in Biological Systems

Learning outcomes
  • I can identify examples of equilibrium in living organisms.
  • I can explain the role of equilibrium in maintaining homeostasis.
  • I can describe how the body regulates pH.
  • I can analyze biological equilibrium systems.
  • I can connect chemistry concepts to physiology.

5. Environmental Equilibrium Systems

Learning outcomes
  • I can explain equilibrium processes in natural environments.
  • I can describe equilibrium in oceans, lakes, and the atmosphere.
  • I can analyze the effects of human activities on environmental equilibria.
  • I can evaluate environmental examples involving acidification.
  • I can apply equilibrium concepts to environmental challenges.