Chapter 21: Q21.120 CP (page 977)

Like any piece of apparatus, an electrolytic cell operates at less than $100%$ efficiency. A cell depositing $Cu$ from a ${Cu}^{2 +}$ bath operates for $10 h$ with an average current of $5.8 A$ . If $53.4 g$ of copper is deposited, at what efficiency is the cell operating?

Short Answer

Expert verified

At $77.66%$ efficiency the cell is operating.

Step by step solution

Concept Introduction

An electrolytic cell is an electrochemical device that employs electrical energy to help a non-spontaneous redox reaction take place. Electrolytic cells are electrochemical cells that can be used to electrolyze a variety of substances.

A galvanic cell, or voltaic cell, is an electrochemical cell that converts the chemical energy of spontaneous redox reactions into electrical energy.

Information Provided

The reaction is ${Cu}^{2 +} {(aq) + 2e}^{-} ⇌ Cu(s)$
The mass of Cu deposited is $53.4 g$
The Current is $5.8A(A = C/s)$
Cell is operated for $10h(10h \cdot \frac{3600s}{1h} = 3.6 \cdot 10^{4} s)$
Faraday constant: charge of of electrons ( $F = 96485 C/mole$ )

Efficiency of the Cell

First find the charge –

$Current = \frac{Charge}{Time} Charge = Current \cdot Time = 5.8 C/s \cdot 3.6 \cdot 10^{4} s = 2.088 \cdot 10^{5} C$

The number of moles of electrons is –

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Like any piece of apparatus, an electrolytic cell operates at less than $100%$ efficiency. A cell depositing $Cu$ from a ${Cu}^{2 +}$ bath operates for $10 h$ with an average current of $5.8 A$ . If $53.4 g$ of copper is deposited, at what efficiency is the cell operating?

Short Answer

Step by step solution

Concept Introduction

Information Provided

Efficiency of the Cell

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Like any piece of apparatus, an electrolytic cell operates at less than100%efficiency. A cell depositingCufrom aCu2 +bath operates for10 hwith an average current of5.8 A. If53.4 gof copper is deposited, at what efficiency is the cell operating?

Short Answer

Step by step solution

Concept Introduction

Information Provided

Efficiency of the Cell

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Analysis

Physical Chemistry

Nuclear Chemistry

Kinetics

Inorganic Chemistry

Making Measurements

Study anywhere. Anytime. Across all devices.

Like any piece of apparatus, an electrolytic cell operates at less than $100%$ efficiency. A cell depositing $Cu$ from a ${Cu}^{2 +}$ bath operates for $10 h$ with an average current of $5.8 A$ . If $53.4 g$ of copper is deposited, at what efficiency is the cell operating?