Chapter 19, Problem 96GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# The specifications for a lead storage battery include delivery of a steady 1.5 A of current for 15 hours. (a) What is the minimum mass of lead that will be used in the anode? (b) What mass of PbO2 must be used in the cathode? (c) Assume that the volume of the battery is 0.50 L. What is the minimum molarity of H2SO4 necessary?

(a)

Interpretation Introduction

Interpretation:

The minimum mass of lead that will be used in the anode has to be calculated.

Concept introduction:

Current:

Rate of the charge changing in time is defined as current.

The formula is as follows:

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

Simplify as follows.

Current = Electric charge time

To rearrange the above formula is as follows.

Charge = Current(A) × time(s)

Explanation

Letâ€™s write the half reaction at anode in lead storage battery:

PbÂ +Â SO42-(aq)Â â†’PbSO4(s)Â +Â 2e-

Letâ€™s calculate the charge:

ChargeÂ (C)Â =Â CurrentÂ (A)Â Ã—Â timeÂ (s)=Â 1.5AÂ Ã—Â 15Â Ã—Â 60Â Ã—Â 60Â S=Â 81000Â C

By using the charge calculate the number of moles of electrons is as follows.

molÂ e-Â =Â (81000Â C)(1Â molÂ e-96500Â C)=Â 8

(b)

Interpretation Introduction

Interpretation:

The mass of PbO2 used in the cathode has to be calculated.

Concept introduction:

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

To rearrange the above formula is as follows.

Charge = Current(A) × time(s)

(c)

Interpretation Introduction

Interpretation:

The minimum morality of H2SO4 necessary has to be calculated.

Concept introduction:

Current:

Rate of the charge changing in time is defined as current.

The formula is as follows.

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

Simplify as follows.

Current = Electric charge time

To rearrange the above formula is as follows.

Charge = Current(A) × time(s)

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