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Balancing a symbol equation with state symbols

Quantitative chemistry
GCSE Chemistry (8462) · 4.3.1.1 & 4.2.2.2 · Foundation & Higher
ORIGINAL

Write the formulae first, balance with the big numbers only, check every atom, then add (s), (l), (g) and (aq).

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Question

Aluminium metal reacts with dilute hydrochloric acid to form aluminium chloride solution and hydrogen gas. Write a balanced symbol equation for the reaction, including state symbols. Aluminium forms Al3+\mathrm{Al^{3+}} ions.

Every step worked, with the reasoning.

  1. 1
    Formulae: Al\mathrm{Al}, HCl\mathrm{HCl}, AlCl3\mathrm{AlCl_3} and H2\mathrm{H_2}

    One Al3+\mathrm{Al^{3+}} ion needs three Cl−\mathrm{Cl^-} ions, so aluminium chloride is AlCl3; hydrogen gas is made of diatomic molecules.

  2. 2
    Skeleton: Al+HCl→AlCl3+H2\mathrm{Al + HCl \rightarrow AlCl_3 + H_2}

    Now balance by changing only the numbers in front of formulae — never the small subscripts.

  3. 3
    Balance Cl: Al+3HCl→AlCl3+H2\mathrm{Al + 3HCl \rightarrow AlCl_3 + H_2}

    Three Cl on the right needs 3HCl. That brings 3 H, but hydrogen comes in pairs as H2, so H cannot balance yet.

  4. 4
    Balance H: 2Al+6HCl→2AlCl3+3H2\mathrm{2Al + 6HCl \rightarrow 2AlCl_3 + 3H_2}

    The lowest common multiple of 3 and 2 is 6: 6HCl gives 6 H, which is 3H2, and 6 Cl, which is 2AlCl3, so 2Al. Common error: changing a formula (writing AlCl or H) to force a balance — that changes the substance, and loses the mark.

  5. 5
    Check: Al 2=2\mathrm{Al}\ 2 = 2, H 6=6\mathrm{H}\ 6 = 6, Cl 6=6\mathrm{Cl}\ 6 = 6

    Count every element on both sides before moving on.

  6. 6
    2Al(s)+6HCl(aq)→2AlCl3(aq)+3H2(g)\mathrm{2Al(s) + 6HCl(aq) \rightarrow 2AlCl_3(aq) + 3H_2(g)}

    State symbols: the metal is a solid, the acid and the dissolved salt are aqueous, and hydrogen is a gas.

Answer: 2Al(s)+6HCl(aq)→2AlCl3(aq)+3H2(g)\mathrm{2Al(s) + 6HCl(aq) \rightarrow 2AlCl_3(aq) + 3H_2(g)}

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