Writing Equations for Metal and Acid Reactions

Word equations, formulae and balancing

Lesson 843 of 4,500 · Metals and Non-metals

Learning objectives

Introduction

“Metal + acid → salt + hydrogen” is a useful word pattern for suitable dilute non-oxidising acids, but it is not yet a balanced chemical equation. The salt formula depends on ion charges, hydrogen gas is H₂, and coefficients must conserve every atom. A reliable method separates product prediction from balancing.

Core explanation

Begin with a word equation: magnesium + hydrochloric acid → magnesium chloride + hydrogen. Magnesium commonly forms Mg²⁺ and chloride is Cl⁻, so the salt formula is MgCl₂. Elemental hydrogen gas is H₂. The draft formula equation is Mg + HCl → MgCl₂ + H₂. To supply two chloride ions and two hydrogen atoms, place 2 before HCl: Mg + 2HCl → MgCl₂ + H₂. Do not change HCl into H₂Cl or MgCl₂ into MgCl merely to equalise a count; such subscript edits change the substances.

For zinc + sulfuric acid → zinc sulfate + hydrogen, Zn²⁺ and SO₄²⁻ pair one-to-one as ZnSO₄. The formula equation Zn + H₂SO₄ → ZnSO₄ + H₂ is already balanced. Zinc one, sulfate group one and hydrogen two appear on both sides. The acid's H₂ subscript does not mean two sulfate groups are needed; it describes two hydrogen atoms in one acid molecule.

For aluminium with suitable dilute hydrochloric acid after its protective oxide layer is addressed, the simple overall equation can be written 2Al + 6HCl → 2AlCl₃ + 3H₂. Al³⁺ needs three Cl⁻ ions, giving AlCl₃ as a formula ratio. Begin Al + HCl → AlCl₃ + H₂, then use coefficients that make chlorine and hydrogen counts agree. Six HCl provide six Cl and six H; two AlCl₃ use six Cl and three H₂ use six H. The surface layer and conditions affect whether the reaction is observed readily, but not the atom balance of this stated pathway.

Variable-charge metals need a specified product. The school reaction Fe + 2HCl → FeCl₂ + H₂ makes iron(II) chloride. If a question says “iron(III) chloride,” the formula is FeCl₃, but one should not silently insert it as the product of the ordinary Fe/HCl H₂-displacement equation. Product identity comes from chemistry and conditions; balancing begins only after it is chosen.

States can add useful meaning. Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g) distinguishes solid metal, acid solution, dissolved salt and gas. State symbols do not affect atom count, but they help interpret observations. A net ionic equation, Zn + 2H⁺ → Zn²⁺ + H₂, can remove spectator chloride; the full formula equation and ionic equation answer related but different requests.

When nitric acid appears, pause before applying the template. Nitrate salts can form, but nitric acid's oxidising chemistry may produce nitrogen oxides rather than H₂. A question must specify a reaction or conditions before one writes a full balanced equation. An acid's name supplies a possible anion; it does not determine every redox product.

An equation is a claim about chemical change. Check that the metal is suitable for the acid and that the stated reaction occurs. A perfectly balanced Cu + 2HCl → CuCl₂ + H₂ would be a misleading ordinary prediction because copper does not typically displace hydrogen from dilute HCl. Balancing cannot rescue an unsupported reaction.

Step-by-step reasoning

1. Write a word equation only for a reaction supported by the metal, acid and conditions. 2. Find metal charge and acid-derived anion; build a neutral salt formula and write H₂ where appropriate. 3. Adjust coefficients, never subscripts, until each element count agrees. 4. Add states if requested and verify that the chemical prediction, not just arithmetic, is sound.

Visual explanation

Draw a three-stage board for Mg with HCl: names, draft formulas and balanced formulas. Circle MgCl₂'s subscript 2 as fixed by charge, and box the coefficient 2 before HCl as the adjustable balancing number.

Real-world analogy

A recipe's ingredient identity must be chosen before deciding how many portions to use. Changing “salt” into “sugar” to make a count convenient would no longer be the same recipe. Chemical subscripts define ingredients; coefficients set how many units participate.

Real-world example

A class records zinc reacting with dilute hydrochloric acid and observes bubbles. The equation Zn + 2HCl → ZnCl₂ + H₂ links the metal's 2+ ion, two chlorides and diatomic hydrogen. Each coefficient has a reason that can be checked against the atom inventory.

Why?

Why insist on product formulas before balancing? A coefficient multiplies a correct compound formula. If MgCl₂ is mistakenly written MgCl, one can make some atom counts match, but the product would have an unbalanced ion-charge ratio and would not represent magnesium chloride.

Common misconception

“If an equation balances, it must describe a real reaction.” Atom conservation is necessary but not sufficient. Reactivity and conditions decide whether the proposed product pathway is supported, as the misleading copper/HCl example shows.

Worked example

Translate calcium + dilute hydrochloric acid → calcium chloride + hydrogen. Calcium forms Ca²⁺; chloride is Cl⁻, so CaCl₂ is the salt. Draft Ca + HCl → CaCl₂ + H₂. Place 2 before HCl: Ca + 2HCl → CaCl₂ + H₂. Check Ca one, Cl two and H two on both sides. Calcium is above hydrogen in the school series, so the direction is consistent with the simple model.

Quick check

1. Why is hydrogen written H₂ rather than H in a metal–acid formula equation? Answer: The gas consists of diatomic hydrogen molecules under the stated ordinary conditions.

Exam focus

Write names, construct correct salt formulas from charges, then balance coefficients and add states if asked. Show a short atom-count check. Do not apply the H₂ template to copper with dilute HCl or automatically to oxidising nitric acid.

Advanced insight

Equation balancing is a conservation problem independent of whether a pathway is favourable. A thermodynamic or experimental argument supports the reaction direction, while coefficient algebra conserves atoms and charge. Both are needed for a complete chemical equation.

Summary

For a supported metal–acid reaction, translate names to formulas using cation and acid-anion charges, write H₂, and balance by coefficients. Keep product identity and conditions separate from balancing. A chemically unsupported equation can be balanced yet still be a wrong prediction.

Practice questions

1. Balance magnesium + hydrochloric acid in formulas. Answer: Mg + 2HCl → MgCl₂ + H₂. 2. Write zinc with dilute sulfuric acid. Answer: Zn + H₂SO₄ → ZnSO₄ + H₂. 3. Balance aluminium plus HCl to AlCl₃ and H₂ for the stated pathway. Answer: 2Al + 6HCl → 2AlCl₃ + 3H₂. 4. Why should Cu + HCl → CuCl₂ + H₂ not be accepted merely because atoms can be balanced? Answer: Copper does not normally release H₂ from dilute non-oxidising HCl; balancing does not prove occurrence.