   # If you wish to convert 0.0100 mol of Au 3+ (aq) ions into Au(s) in a “gold-plating” process, how long must you electrolyze a solution if the current passing through the circuit is 2.00 amps? (a) 483 seconds (b) 4.83 × 10 4 seconds (c) 965 seconds (d) 1450 seconds ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 19.8, Problem 1RC
Textbook Problem
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## If you wish to convert 0.0100 mol of Au3+ (aq) ions into Au(s) in a “gold-plating” process, how long must you electrolyze a solution if the current passing through the circuit is 2.00 amps? (a) 483 seconds (b) 4.83 × 104 seconds (c) 965 seconds (d) 1450 seconds

Interpretation Introduction

Interpretation: The time required to convert 0.0100molAu3+ to Au(s) when 2.00amps current is passed through the circuit is to be determined from the given option.

Concept introduction:

Electrolysis: It is a decomposition of ionic compounds by passing electricity through molten compounds or aqueous solutions of compounds.

Electricity used to produce chemical changes. The apparatus used for electrolysis is called an electrolytic cell.

Current: Rate of the charge changing in time.

The formula is as follows.

` Current (Amperes, A) = Electric charge (Coloumbs, C)time, t(seconds,s)

Simplify as follows.

Current = Electric charge time

### Explanation of Solution

Reason for correct option

Given,

The current passing through the circuit is 2.00amps

The half-cell reaction of the copper is as follows.

Au3+(aq) + 3e  Au(s)

The total number of mole electrons is,

0.0100molAu(3 mol e1 mol Au)=0.0300mole

The charge in the cell is,

Charge (C) = (0.0300mole)(96500 C1 mol e-)=2895 C

Let’s calculate the time to complete the electrolysis:

Charge = Current × time

Substitute the values and find the time:

2895 C = 2.00amps × timeTime=2895 C2.00amps=1450seconds

The time required to convert 0.0100molAu3+ to Au(s) when 2

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