ElectrochemistryhardNUMERICAL

Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equatiElectrochemistry Chemistry Question

Question

Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equation. A current of x A has to be passed for 10 h to produce 10.0 g of potassium chlorate. The value of x is _____. (Nearest integer) (Molar mass of , )

Answer: 1.00

💡 Solution & Explanation

# Solution: Electrolysis of KCl to Produce KClO₃ **Step 1: Write the electrolysis equation and identify electrons transferred** 6KCl + 3H₂O → KClO₃ + 5KCl + 3H₂ (overall) The net reaction shows: Cl⁻ → ClO₃⁻ + 6e⁻ 6 electrons are transferred per mole of KClO₃ produced. **Step 2: Calculate moles of KClO₃ produced** Molar mass of KClO₃ = 39 + 35.5 + 3(16) = 122.5 g/mol Moles of KClO₃ = 10.0 g ÷ 122.5 g/mol = 0.0816 mol **Step 3: Calculate total electrons needed** Total electrons = 0.0816 mol × 6 e⁻/mol = 0.490 mol e⁻ **Step 4: Use Faraday's Law (Q = nF)** Charge required: Q = 0.490 mol × 96,500 C/mol = 47,285 C **Step 5: Calculate current using Q = I × t** Formula: I = Q ÷ t Time = 10 h = 36,000 s I = 47,285 C ÷ 36,000 s = 1.31 A ≈ 1.00 A **Therefore, the answer is 1.00.**

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