☰ Contents · Chemistry (General chemistry)

Equivalent mass in redox reactions

Lessons 30 · 1 lessons · S. Masharipov, A. Mutalibov, E. Murodov, H. Islomova. General chemistry, Grade 11, 1st edition. G‘afur G‘ulom Publishing and Printing House, Tashkent, 2018
30

Equivalent masses of substances in redox reactions

Textbook: pp. 135–138
GoalCalculate the equivalent mass of an oxidising and a reducing agent (E = M/n(e⁻)) and use the law of equivalents to find masses.
New words
equivalent mass of an oxidising agent · oksidlovchining ekvivalent massasiequivalent mass of a reducing agent · qaytaruvchining ekvivalent massasilaw of equivalents · ekvivalentlar qonuninumber of electrons transferred · berilgan elektronlar soni
Explanation

In a redox reaction the equivalent mass of a substance is found by dividing its molar mass by the number of electrons one formula unit accepts (oxidising agent) or gives (reducing agent): E = M/n(e⁻). For example K₂Cr₂O₇ accepts 6 e⁻ in acidic medium: E = 294/6 = 49; Na₂SO₃ gives 2 e⁻ when oxidised to SO₄²⁻: E = 126/2 = 63. So E of one substance depends on the reaction conditions: KMnO₄ in acidic medium has E = 158/5 = 31.6, in alkaline medium E = 158/1 = 158. The law of equivalents: substances react in masses proportional to their equivalent masses, that is m₁/E₁ = m₂/E₂ (equal numbers of equivalents). This law lets us find the masses of reducing and oxidising agents without writing the whole equation. Writing the half-reaction to see how many electrons move is the most reliable way. Note: equivalent mass is an older term; current practice does the same calculation with moles and the number of electrons.

Worked examples
K₂Cr₂O₇ (M = 294): Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O, E = 294/6 = 49 g/mol. Na₂SO₃ (M = 126): SO₃²⁻ + H₂O − 2e⁻ → SO₄²⁻ + 2H⁺, E = 126/2 = 63 g/mol.
How many grams of Na₂SO₃ react with 98 g of K₂Cr₂O₇? 98/49 = 2 equivalents; m(Na₂SO₃) = 2·63 = 126 g. Check with the equation K₂Cr₂O₇ + 3Na₂SO₃: 98 g = 1/3 mol, so Na₂SO₃ = 1 mol = 126 g.
Class activity

Make a table: for H₂O₂, SO₂, KI and FeSO₄ (choose one reaction for each) calculate the number of electrons and E; state which acts as oxidising and which as reducing agent.

Practice
1
H₂O₂ as an oxidising agent (O: −1 → −2) accepts 2 e⁻ per molecule. Find E(H₂O₂) (M = 34).
2
In SO₂ → H₂SO₄ sulfur is oxidised from +4 to +6. Find E(SO₂) (M = 64).
3
How many grams of KI (E = 166) react with 68 g of H₂O₂ (E = 17)?
4
Why does the E of KMnO₄ differ with the medium?