### Electrolysis Time Calculation**Problem Statement:**How many hours are required to produce 795 grams of lead from molten lead(II) chloride (PbCl₂, 278.1 g/mol) if the current used is 116 amps? Faraday's constant is 96,485 C/mole e⁻.Write your answer with 3 significant digits.**Explanation:**This problem is related to the electrochemical production of lead via electrolysis. The following steps outline how to approach this calculation:1. **Determine moles of lead (Pb) to be produced:** Given mass of Pb: 795 grams Molar mass of Pb: 207.2 g/mol Moles of Pb (n): \[ n = \frac{\text{Mass of Pb}}{\text{Molar mass of Pb}} = \frac{795 \text{ g}}{207.2 \text{ g/mol}} = 3.84 \text{ mol} \]2. **Calculate the amount of charge (Q) required:** The reduction reaction at the cathode is: \[ \text{Pb}^{2+} + 2e^- \rightarrow \text{Pb} \] Thus, 2 moles of electrons are required to produce 1 mole of Pb. Therefore, total moles of electrons required (n_e): \[ n_e = 2 \times n = 2 \times 3.84 = 7.68 \text{ mol e}^- \] Using Faraday's constant (F): \[ F = 96485 \text{ C/mol e}^- \] Total charge (Q) required: \[ Q = n_e \times F = 7.68 \times 96485 \text{ C} = 741,821 \text{ C} \]3. **Calculate the time (t) required:** Using the relationship: \[ Q = I \times t \] Where, I = current in amps, t = time in seconds. Given current (I): \[ I = 116 \text{ A} \] Rearrange to solve for time (t): \[ t = \frac{Q}{I} = \

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How many hours are required to produce 795 grams of lead from molten lead(II) chloride (PbCl2, 278.1 g/mol) if the current used is 116 amps? Faraday's constant is 96,485 C/mol e-. Write your answer with 3 significant digits.

How many hours are required to produce 795 grams of lead from molten lead(II) chloride (PbCl2, 278.1 g/mol) if the current used is 116 amps? Faraday's constant is 96,485 C/mol e-. Write your answer with 3 significant digits.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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