The electrolysis of BiO + produces pure bismuth. How long would it take to produce 10.0 g Bi by the electrolysis of a BiO + solution using a current of 25.0 A?

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Interpretation Introduction Interpretation: The information regarding electrolysis of BiO + to produce bismuth is given. The time taken by 25.0 A of current to produce 10.0 g of Bi by the electrolysis of BiO + solution Concept introduction: The non-spontaneous reaction takes place in an electrolytic cell in which there occurs conversion of electrical energy into chemical energy and this is used for the electrolysis of a metal. The charge generated in the cell is calculated as, Q = I t When electricity is passed through an electrolytic cell, at that time the amount of the substance that is liberated at an electrode is given by, W = Z Q = Z I t The value of Z is given as, Z = Atomic mass n × 96 , 485 The mass of metal is calculated by multiplying the moles of metal with its atomic molar mass. This gives the mass of the metal to be plated out in the electrolytic cell. To determine: The time taken by 25.0 A of current to produce 10.0 g of Bi by the electrolysis of BiO + solution. Explanation Given, The amount of Bi produced by electrolysis is 10.0 g . The amount of current passed through BiO + solution is 25.0 A . The reaction taking place is, BiO + + 3 e − → Bi The conversion of each BiO + to Bi requires 3 electrons. The number of moles of Bi atoms present in 209 g of Bi is 1 mol . The number of moles of Bi atoms present in 10 g of Bi is, 10 g Bi × 1 mol Bi 209 g Bi = 0.0478 mol Bi The number of electrons required to convert to 0.0487 mol Bi is, 0.0487 × 3 = 0.1434 mol Bi The quantity of charge that is carried by these electrons is, 0.1434 mol e − × 96 , 485 mol e − = 13.8 × 10 3 C The charge generated in the cell is calculated as, Q = I t Where, Q is the charge carried in the cell

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Chemistry: An Atoms First Approach

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Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781305079243

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Chemistry: An Atoms First Approach

2nd Edition

Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781305079243

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Interpretation Introduction

Interpretation:

The information regarding electrolysis of BiO+ to produce bismuth is given. The time taken by 25.0 A of current to produce 10.0 g of Bi by the electrolysis of BiO+ solution

Concept introduction:

The non-spontaneous reaction takes place in an electrolytic cell in which there occurs conversion of electrical energy into chemical energy and this is used for the electrolysis of a metal.

The charge generated in the cell is calculated as,

Q=It

When electricity is passed through an electrolytic cell, at that time the amount of the substance that is liberated at an electrode is given by,

W=ZQ=ZIt

The value of Z is given as,

Z=Atomic massn×96,485

The mass of metal is calculated by multiplying the moles of metal with its atomic molar mass. This gives the mass of the metal to be plated out in the electrolytic cell.

To determine: The time taken by 25.0 A of current to produce 10.0 g of Bi by the electrolysis of BiO+ solution.

Explanation of Solution

Given,

The amount of Bi produced by electrolysis is 10.0 g .

The amount of current passed through BiO+ solution is 25.0 A .

The reaction taking place is,

BiO++3e−→Bi

The conversion of each BiO+ to Bi requires 3 electrons.

The number of moles of Bi atoms present in 209 g of Bi is 1 mol .

The number of moles of Bi atoms present in 10 g of Bi is,

10 g Bi×1 mol Bi209 g Bi=0.0478 mol Bi

The number of electrons required to convert to 0.0487 mol Bi is,

0.0487×3=0.1434 mol Bi

The quantity of charge that is carried by these electrons is,

0.1434 mol e−×96,485mol e−=13.8×103 C

The charge generated in the cell is calculated as,

Q=It

Where,

Q is the charge carried in the cell

The electrolysis of BiO + produces pure bismuth. How long would it take to produce 10.0 g Bi by the electrolysis of a BiO + solution using a current of 25.0 A?

Chemistry: An Atoms First Approach

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Chemistry: An Atoms First Approach