Lesson 6

Chemical Reactions in Solution

Understand reactions in aqueous solution: solubility rules, electrolytes, dissociation, ionic equations, precipitation, acid-base, and gas-forming reactions.

7 learning objectivesreactions

Solubility Rules for Ionic Compounds

Whether an ionic compound dissolves in water or forms a precipitate depends on the specific combination of cation and anion. A set of solubility rules lets you make reliable predictions:

Generally soluble:

  • Compounds of Group 1 cations (Li⁠+, Na⁠+, K⁠+) and NH⁠4+always soluble
  • Nitrates (NO⁠3-), acetates (C⁠2H⁠3O⁠2-), chlorates (ClO⁠3-), and perchlorates (ClO⁠4-) — always soluble
  • Halides (Cl⁠-, Br⁠-, I⁠-) — soluble except with Ag⁠+, Pb⁠2+, and Hg⁠22+
  • Sulfates (SO⁠42-) — soluble except with Ba⁠2+, Pb⁠2+, Ca⁠2+, Sr⁠2+, and Ag⁠+

Generally insoluble:

  • Hydroxides (OH⁠-) — insoluble except with Group 1 cations and Ba⁠2+
  • Carbonates (CO⁠32-), phosphates (PO⁠43-), sulfides (S⁠2-), and chromates (CrO⁠42-) — insoluble except with Group 1 cations and NH⁠4+
Go deeperWhy this matters: solubility rules protect drinking water

When lead from old pipes dissolves into tap water, utilities fight back with solubility chemistry: they add orthophosphate, which meets Pb⁠2+ and forms a lead phosphate coating so insoluble it seals the pipe walls and keeps the lead out of your glass. The failure to maintain exactly this treatment was central to the Flint water crisis. The rules you are memorizing are the working vocabulary of every water-quality engineer: which ions stay dissolved, which pairs lock into solids, and how to force the second outcome on purpose.

Go deeperWhat makes a salt insoluble in the first place

Dissolving is a tug of war. Pulling the crystal apart costs energy (the ions attract each other strongly), while surrounding each freed ion with water molecules pays energy back. When the water’s payback wins or roughly breaks even, the salt dissolves; when the crystal’s grip wins decisively, it does not.

This is why small, highly charged ion pairs so often produce insoluble salts: doubly charged partners like Ca⁠2+ and CO⁠32- grip each other far more strongly than singly charged pairs like Na⁠+ and Cl⁠-. The rules in this section are the tabulated outcomes of that tug of war, measured for you in advance.

Precipitation Reactions

A precipitation reaction occurs when two soluble ionic compounds are mixed and one of the possible ion combinations forms an insoluble product (a precipitate). To predict whether a precipitate forms:

  1. Write the formulas of the two reactants and identify all ions in solution.
  2. Consider the two new cation-anion pairings (swap partners).
  3. Check each new combination against the solubility rules.
  4. If either new compound is insoluble, a precipitation reaction occurs.

Example: Mixing AgNO⁠3(aq) and NaCl(aq) produces Ag⁠+ + Cl⁠- and Na⁠+ + NO⁠3-. NaNO⁠3 is soluble (nitrates always are), but AgCl is insoluble (halides with Ag⁠+ are an exception). Therefore AgCl precipitates.

Go deeperWhy this matters: precipitation cleans water on purpose

Municipal treatment plants run precipitation reactions deliberately and at enormous scale. Lime softening adds Ca(OH)⁠2 to hard water so that dissolved Ca⁠2+ precipitates out as CaCO⁠3; wastewater plants dose iron salts so that dissolved phosphate (which would otherwise feed algae blooms downstream) leaves as an insoluble iron phosphate sludge. Nature runs the same reaction class: seashells, coral reefs, and cave formations are all dissolved ions choosing a solid partner. Predicting a precipitate on paper is rehearsal for engineering one in a reactor.

Molecular, Ionic, and Net Ionic Equations

Reactions in aqueous solution can be written at three levels of detail:

  • Molecular equation — shows complete formulas for all reactants and products as if they were intact units: AgNO⁠3(aq) + NaCl(aq) → AgCl(s) + NaNO⁠3(aq).
  • Complete ionic equation — shows all strong electrolytes as dissociated ions: Ag⁠+(aq) + NO⁠3-(aq) + Na⁠+(aq) + Cl⁠-(aq) → AgCl(s) + Na⁠+(aq) + NO⁠3-(aq).
  • Net ionic equation — removes the spectator ions (those unchanged on both sides), leaving only the species that participate in the chemical change: Ag⁠+(aq) + Cl⁠-(aq) → AgCl(s).

The net ionic equation is the most concise representation and highlights the actual chemistry taking place. Solids, liquids, gases, and weak electrolytes are written in their molecular form, while strong electrolytes dissolved in water are written as separate ions.

Go deeperWhy this matters: the net ionic equation finds the pattern

Mix hydrochloric acid with sodium hydroxide, nitric acid with potassium hydroxide, or hydrobromic acid with lithium hydroxide: three different molecular equations, yet the net ionic equation is identical every time: H⁠+(aq) + OH⁠-(aq) → H⁠2O(l). That is the payoff of the third zoom level: it strips away packaging and reveals that hundreds of seemingly different reactions are one reaction wearing different spectator ions. Chemists think in net ionic equations for the same reason mathematicians factor expressions: the simplified form shows what is actually happening.

Go deeperCommon mistake: dissociating things that stay whole

The complete ionic equation splits only species that are genuinely swimming as free ions: soluble ionic compounds and strong acids/bases, all marked (aq). Everything else stays intact on the page because it stays intact in the beaker:

  • Precipitates like AgCl(s): locked in a crystal, not free ions
  • Water and other liquids (l)
  • Gases (g)
  • Weak acids like acetic acid: mostly un-ionized molecules, written whole

Splitting AgCl into Ag⁠+ + Cl⁠- erases the entire point of the equation, which is that those two ions stopped being free. Check the phase label before you split anything.

Spectator Ions

Spectator ions are ions present in solution that do not participate in the chemical reaction. They appear in identical form on both sides of the complete ionic equation. Their role is simply to balance charge — they are “spectators” watching the reaction happen.

To identify spectator ions: write the complete ionic equation by breaking all soluble ionic compounds into their ions. Then compare both sides. Any ion that appears identically on both sides is a spectator ion. Remove all spectator ions to obtain the net ionic equation.

In the reaction Ag⁠+(aq) + NO⁠3-(aq) + Na⁠+(aq) + Cl⁠-(aq) → AgCl(s) + Na⁠+(aq) + NO⁠3-(aq), the spectator ions are Na⁠+ and NO⁠3-. They dissolve but do not change chemically.

Go deeperThe spectators are still in the beaker

Crossing spectator ions out of the equation removes them from the paperwork, not from the flask. After silver chloride precipitates from silver nitrate and sodium chloride solutions, the Na⁠+ and NO⁠3- are still there, swimming, conducting electricity, and keeping the solution’s charge balanced. Boil off the water and the spectators reappear as solid sodium nitrate: the salt nobody wrote down.

This matters practically: the “waste” side of a precipitation process still contains every spectator ion, which is why industrial chemists must treat or recover the leftover solution rather than pretend the crossed-out ions vanished.

Acid-Base Neutralization Reactions

A neutralization reaction occurs when an acid reacts with a base to produce water and a salt. The net ionic equation for the reaction of any strong acid with a strong base is simply:

H⁠+(aq) + OH⁠-(aq) → H⁠2O(l)

The salt that forms depends on which acid and base react. For example, HCl + NaOH → NaCl + H⁠2O. The salt NaCl remains dissolved as Na⁠+ and Cl⁠- ions (spectator ions), and the driving force is the formation of water from H⁠+ and OH⁠-.

When weak acids or bases are involved, they are written in molecular form in the ionic equation because they do not fully dissociate. For example, acetic acid (a weak acid) reacting with NaOH: CH⁠3COOH(aq) + OH⁠-(aq) → CH⁠3COO⁠-(aq) + H⁠2O(l).

Go deeperWhy this matters: neutralization from heartburn to farmland

Swallowing an antacid sends a base to meet your stomach’s hydrochloric acid: Mg(OH)⁠2 + 2 HCl → MgCl⁠2 + 2 H⁠2O is a neutralization running inside you, and the relief you feel is the H⁠+ concentration falling. Farmers run the same reaction across whole fields, spreading crushed limestone to neutralize acidic soil that would otherwise stunt crops. In both cases nobody cares about the salt; the product that matters is water, formed as H⁠+ and OH⁠- (or a carbonate acting in its place) remove each other from circulation.

Strong and Weak Electrolytes

An electrolyte is a substance that dissociates into ions when dissolved in water, allowing the solution to conduct electricity.

  • Strong electrolytes dissociate completely (nearly 100%): all soluble ionic compounds, strong acids (HCl, HNO⁠3, H⁠2SO⁠4, HBr, HI, HClO⁠4), and strong bases (NaOH, KOH, Ba(OH)⁠2).
  • Weak electrolytes dissociate only partially: weak acids (CH⁠3COOH, HF, H⁠2CO⁠3) and weak bases (NH⁠3). Most dissolved molecules remain intact, with only a small fraction forming ions.
  • Nonelectrolytes do not produce ions at all: molecular compounds like sugar (C⁠12H⁠22O⁠11) and ethanol (C⁠2H⁠5OH) dissolve but remain as intact molecules.

The distinction matters for writing ionic equations: strong electrolytes are shown as dissociated ions, while weak electrolytes and nonelectrolytes are written in molecular form.

Go deeperWhy this matters: conductivity is a diagnosis

Truly pure water is a surprisingly poor conductor: almost nothing in it carries charge. Tap water conducts because of its dissolved electrolytes, and your body fluids conduct far better still, which is why hospitals order electrolyte panels: nerve and heart function depend on Na⁠+, K⁠+, and Ca⁠2+ concentrations held in tight ranges. A conductivity meter is chemistry’s quickest interrogation of a solution: at comparable concentrations, a strong electrolyte, a weak electrolyte, and a nonelectrolyte announce themselves as bright, dim, and dark on a simple light-bulb apparatus. (Concentration matters as much as strength: a very dilute strong electrolyte can conduct less than a concentrated weak one, so the comparison only sorts strength when the amounts are held similar.)

Go deeperCommon mistake: confusing how much dissolves with how completely it ionizes

Solubility and electrolyte strength are independent axes. Acetic acid mixes with water in any proportion, yet it is a weak electrolyte: only about 1% of its dissolved molecules ionize. Barium hydroxide dissolves only sparingly, yet it is a strong electrolyte: the portion that does dissolve dissociates completely. Sugar dissolves beautifully and ionizes not at all.

Ask two separate questions of every substance: how much enters the water, and what fraction of what entered splits into ions? “Strong” and “weak” answer only the second question.

Dissociation Equations for Acids, Bases, and Salts

A dissociation equation shows how a strong electrolyte separates into its constituent ions when it dissolves in water. There are two physically distinct routes to ions in solution, and the dissociation equation looks the same on the page but represents different processes:

  • Ionic compounds undergo a physical change when they dissolve. The ions in the solid separate and disperse uniformly; water molecules surround and solvate each ion (an ion-dipole interaction), reducing the strong electrostatic forces that bind the lattice. The chemistry of the ions does not change; only their arrangement does.
  • Some covalent compounds undergo a chemical change when they dissolve. The neutral molecule reacts with water and a new bond pattern emerges. HCl is the canonical example: HCl(g) + H2O(l) → H3O+(aq) + Cl(aq). The proton has been transferred to a water molecule.

Three families of strong electrolytes you should be able to dissociate by inspection:

  • Soluble ionic salts dissociate into their cation and anion in the same ratio as the formula: NaCl(s) → Na+(aq) + Cl(aq); CaCl2(s) → Ca2+(aq) + 2 Cl(aq); (NH4)2SO4(s) → 2 NH4+(aq) + SO42−(aq). Polyatomic ions (NO3, SO42−, NH4+, …) stay together as a single ion — do not break them apart.
  • Strong acids react completely with water to transfer a proton; the simplified form drops the H2O and writes H+ in place of H3O+: HCl(aq) → H+(aq) + Cl(aq); HNO3(aq) → H+(aq) + NO3(aq); H2SO4(aq) → 2 H+(aq) + SO42−(aq) (functionally complete for the first proton at the level used in introductory chemistry). The standard list of strong acids you should recognize at sight is HBr, HCl, HI, HNO3, HClO3, HClO4, and H2SO4.
  • Strong bases dissociate completely into the metal cation and OH: NaOH(s) → Na+(aq) + OH(aq); Ba(OH)2(s) → Ba2+(aq) + 2 OH(aq).

Weak acids and weak bases only partially dissociate, and the equation is written with a reversible-reaction arrow (⇌) to reflect the equilibrium: CH3COOH(aq) ⇌ H+(aq) + CH3COO(aq); NH3(aq) + H2O(l) ⇌ NH4+(aq) + OH(aq). Under typical conditions, only about 1% of dissolved acetic acid molecules and about 1% of dissolved ammonia molecules are present in ionized form. At this stage you only need to recognize and write the equation; the quantitative treatment with Ka and Kb waits for the acid-base topic.

Insoluble (sparingly soluble) compounds. Even sparingly soluble ionic compounds are strong electrolytes, since the small amount that does dissolve will dissociate completely. At the level of Topic 6, two practical answer conventions appear in /study problems for these compounds: write the dissociation with the equilibrium arrow ⇌ to reflect that only a tiny fraction is dissolved (typical for insoluble hydroxides such as Al(OH)3, Cu(OH)2, Mg(OH)2); or, when asked whether a very insoluble salt such as BaSO4, AgCl, or PbI2 dissociates appreciably, the answer may be “no significant dissociation.” The quantitative treatment using the solubility product Ksp arrives in Topic 24.

Two checks every dissociation equation must pass: atoms balance (every atom on the left appears on the right) and charge balances (the sum of ion charges on the right equals the charge on the left, which is zero for a neutral salt or molecular acid/base). Dissociation equations are the building blocks for writing complete ionic and net ionic equations later in the topic.

Go deeperCommon mistake: losing count of the ions

Dissociation equations fail most often at the subscripts. Ba(OH)⁠2 releases one Ba⁠2+ and two separate OH⁠- ions, never a bundled “(OH)⁠22-.” Al⁠2(SO⁠4)⁠3 releases two Al⁠3+ and three intact SO⁠42- ions: the polyatomic ion survives as a unit, but its count multiplies out.

Two checks catch every slip: the atoms on both sides must match, and the charges must sum to the same total (zero for a neutral compound: 2(+3) + 3(−2) = 0 for aluminum sulfate). If either check fails, recount before moving on.

Gas-Forming Reactions

Some reactions in solution produce a gas as one of the products. The gas escapes from solution, driving the reaction forward. Common gas-forming reactions include:

  • Carbonates + acid → salt + H⁠2O + CO⁠2(g). Example: CaCO⁠3(s) + 2 HCl(aq) → CaCl⁠2(aq) + H⁠2O(l) + CO⁠2(g). The carbonic acid (H⁠2CO⁠3) that initially forms is unstable and decomposes into water and carbon dioxide.
  • Sulfites + acid → salt + H⁠2O + SO⁠2(g). Similar decomposition of the unstable sulfurous acid.
  • Metal + acid → salt + H⁠2(g). Active metals react with acids to produce hydrogen gas: Zn(s) + 2 HCl(aq) → ZnCl⁠2(aq) + H⁠2(g).

Gas formation provides a visible sign that a reaction is occurring (bubbling or fizzing) and is often the driving force that makes the reaction proceed to completion.

Go deeperWhy this matters: the fizz test geologists trust

A field geologist identifies limestone with a squeeze bottle of dilute hydrochloric acid: a drop on the rock fizzes if carbonate is present, because CaCO⁠3 + 2 HCl → CaCl⁠2 + H⁠2O + CO⁠2(g) runs on contact and the escaping gas announces itself. The same chemistry, running slowly and destructively, is acid precipitation eating marble statues and limestone facades: marble is CaCO⁠3, and every acidic raindrop carries off a little of it as dissolved salt and CO⁠2.

Gas formation drives these reactions forward for a simple reason: the CO⁠2 leaves. A product that escapes the solution cannot return to react backward.

Classifying Reactions in Solution (and Recognizing No Reaction)

Aqueous reactions are classified by the driving force that pulls products out of the equilibrium. Four categories cover the bulk of introductory chemistry:

  1. Precipitation reactions — driven by formation of an insoluble solid. Identified by checking solubility rules for the swapped-partner products of two ionic compounds.
  2. Acid-base (neutralization) reactions — driven by formation of water from H+ and OH. Identified when an acid (or its formula equivalent) and a base are among the reactants.
  3. Gas-forming reactions — driven by production of a gas that escapes solution. Common patterns: carbonates and sulfites with acid; sulfides with acid; active metals with acid (H2); ammonium salts with strong base (NH3).
  4. Redox reactions — driven by transfer of electrons between species (a change in oxidation number for at least one element). Common in solution as single-replacement reactions of metals with metal-ion solutions or metals with acids. Redox reactions are covered in depth in Topic 7.

No reaction (N/R) is a real outcome, not a procedural failure. When two soluble strong electrolytes are mixed and neither swap-partner product is insoluble, water-forming, gaseous, or redox-driven, the ions remain dissociated as spectators and no chemistry happens. Example: NaCl(aq) + KNO3(aq) → no reaction (Na+, K+, Cl, NO3 all stay in solution).

To classify an unknown aqueous combination: (1) identify the reactants and their categories (acid, base, salt, free metal); (2) predict the swap-partner or redox products; (3) check each product against the four driving forces; (4) if no driving force is present, write “no reaction.” Some reactions fit more than one category — a carbonate with an acid is both acid-base and gas-forming, and a metal with a strong acid is both single-replacement (redox) and gas-forming.

Decision Workflow and Common Mistakes for Reactions in Solution

When solving reaction-in-solution problems, a repeatable workflow prevents most errors:

  1. Identify aqueous species and likely reaction type: precipitation, acid-base neutralization, or gas-forming.
  2. Predict products first using ion pairing, acid-base logic, or known gas-forming patterns.
  3. Check whether a driving force exists: insoluble solid, water formation, or gas evolution. If none exists, write no reaction.
  4. Write molecular, total ionic, then net ionic equations in that order.
  5. Cancel only true spectator ions (identical species on both sides in the same phase).

Common mistakes: writing insoluble salts as aqueous, cancelling ions that participate in the net reaction, and balancing charge incorrectly in net ionic equations. Final check: atoms and total charge must balance in every equation form.

Hydrogen Carbonate (Bicarbonate) Solubility Convention

Hydrogen carbonate (bicarbonate, HCO3) salts are treated as soluble at this level — do not group them with the generally-insoluble carbonates (CO32−). The carbonate ion CO32− is doubly charged and forms insoluble salts with almost every cation outside Group 1 and NH4+, but the singly-charged hydrogen carbonate ion HCO3 behaves very differently: its salts dissolve.

Common examples you should classify as soluble: calcium hydrogen carbonate, Ca(HCO3)2, and sodium hydrogen carbonate (baking soda), NaHCO3. Note the contrast with their carbonate counterparts: CaCO3 (limestone) is insoluble, yet Ca(HCO3)2 is soluble. This single difference — one extra proton converting CO32− into HCO3 — is what dissolves limestone caves and produces “temporary hardness” in natural water: CaCO3(s) + H2O(l) + CO2(aq) → Ca(HCO3)2(aq).

Quick rule: carbonate (CO32−) → generally insoluble; bicarbonate (HCO3) → treat as soluble.

Key Equations

Strong Acid-Base Neutralization (net ionic)
H+(aq) + OH-(aq) -> H2O(l)
Carbonate + Acid (gas-forming)
CO32-(aq) + 2 H+(aq) -> H2O(l) + CO2(g)
Unstable H2CO3 decomposes immediately

Learning Objectives

After studying this topic, you should be able to:

  1. Use solubility rules to determine whether an ionic compound is soluble in water
  2. Classify solutes as strong electrolytes, weak electrolytes, or nonelectrolytes
  3. Write dissociation equations for acids, bases, and salts in aqueous solution
  4. Write molecular, complete ionic, and net ionic equations and identify spectator ions
  5. Predict and write precipitation reactions in aqueous solution
  6. Predict and write acid-base neutralization and gas-forming reactions in aqueous solution
  7. Determine when mixing aqueous reactants results in no reaction and classify aqueous reactions as precipitation, acid-base, gas-forming, or redox

How-To Procedure

How to Write a Net Ionic Equation

  1. Write the balanced molecular equation with correct formulas and state symbols (aq, s, l, g).
  2. Identify all strong electrolytes in the aqueous phase (soluble ionic compounds, strong acids, strong bases) and split them into their constituent ions. This gives the complete ionic equation.
  3. Leave solids, liquids, gases, and weak electrolytes in their molecular form — do not split them into ions.
  4. Compare both sides of the complete ionic equation. Any ion that appears in identical form and quantity on both sides is a spectator ion.
  5. Remove all spectator ions from both sides. The remaining species form the net ionic equation.
  6. Verify that both atoms and total charge balance in the final net ionic equation.

Worked Example

Predicting a Precipitation Reaction

Problem

When aqueous solutions of potassium sulfate (K⁠2SO⁠4) and barium nitrate (Ba(NO⁠3)⁠2) are mixed, does a precipitate form? If so, write the molecular, complete ionic, and net ionic equations.

Solution
  1. Identify all ions in solution: K⁠+, SO⁠42-, Ba⁠2+, and NO⁠3-.
  2. Consider the two new ion pairings: KNO⁠3 and BaSO⁠4. Check solubility rules: KNO⁠3 is soluble (Group 1 cation + nitrate); BaSO⁠4 is insoluble (sulfate with Ba⁠2+ is an exception). A precipitate forms.
  3. Molecular equation: K⁠2SO⁠4(aq) + Ba(NO⁠3)⁠2(aq) → BaSO⁠4(s) + 2 KNO⁠3(aq).
  4. Complete ionic equation: 2 K⁠+(aq) + SO⁠42-(aq) + Ba⁠2+(aq) + 2 NO⁠3-(aq) → BaSO⁠4(s) + 2 K⁠+(aq) + 2 NO⁠3-(aq). Spectator ions: K⁠+ and NO⁠3-.
  5. Net ionic equation: Ba⁠2+(aq) + SO⁠42-(aq) → BaSO⁠4(s).
Answer

Yes, barium sulfate (BaSO⁠4) precipitates. Net ionic equation: Ba⁠2+(aq) + SO⁠42-(aq) → BaSO⁠4(s).

Test Your Understanding

When aqueous solutions of sodium chloride and potassium nitrate are mixed, a student expects a precipitate to form. Using solubility rules, explain whether a reaction actually occurs.

Practice Problems

conceptual

Predict whether mixing aqueous solutions of lead(II) nitrate and potassium iodide will produce a precipitate. If so, identify the precipitate and write the net ionic equation.

calculation

Write the balanced molecular, complete ionic, and net ionic equations for the reaction of hydrochloric acid with sodium hydroxide solution.

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Self-Study Questions

What is a precipitate and how do you predict whether one will form?

Hint: You need to know the basic solubility rules.

What are the basic solubility rules for ionic compounds in water?

What is the difference between a molecular equation, a complete ionic equation, and a net ionic equation?

What are spectator ions?

What is an acid–base neutralization reaction?

What is the difference between a strong electrolyte and a weak electrolyte?

How do you write a dissociation equation for a soluble salt, a strong acid, and a strong base?

Hint: Polyatomic ions stay together; weak electrolytes use a reversible-reaction arrow.

What is a gas-forming reaction? Give an example.

How do you write a net ionic equation from a molecular equation?

Hint: Think about which species to split into ions and which to leave as formulas.

What drives a double-replacement reaction to completion?

How do you classify a reaction occurring in aqueous solution?

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