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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalBasic Electrical
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When the specific gravity of the electrolyte of a lead-acid cell is reduced to 1.1 to 1.15 the cell is in

A

charged state

B

discharged state

C

both (a) and (b)

D

active state

Correct Answer

Conceptual AnalysisElectricalBasic Electrical
Option A

charged state

Quick Summary: Given: Specific gravity of the electrolyte in a lead-acid cell is measured as 1.1 to 1.15.

📋 Given

Specific gravity of the electrolyte in a lead-acid cell is measured as 1.1 to 1.15.

🔢 Formula Used

SGdischarged≈1.10−1.15,SGcharged≈1.25−1.28SG_{discharged} \approx 1.10 - 1.15, SG_{charged} \approx 1.25 - 1.28SGdischarged​≈1.10−1.15,SGcharged​≈1.25−1.28

📊 Diagram / Illustration
Electrolyte
SG≈1.10−1.15SG \approx 1.10 - 1.15SG≈1.10−1.15
Lead-Acid Cell (Discharged)
🔢 Step-by-Step Solution
1

Identify Chemical Composition

In a lead-acid cell, the electrolyte is sulfuric acid. During the discharge process, the acid reacts with the lead plates to form lead sulfate, consuming the acid and reducing the specific gravity.

Pb+PbO2+2H2SO4→2PbSO4+2H2OPb + PbO_2 + 2H_2SO_4 \rightarrow 2PbSO_4 + 2H_2OPb+PbO2​+2H2​SO4​→2PbSO4​+2H2​O

2

Analyze Specific Gravity Range

A fully charged lead-acid battery typically has a specific gravity between 1.251.251.25 and 1.281.281.28. As the battery discharges, the acid concentration drops.

SGcharged≈1.25−1.28SG_{charged} \approx 1.25 - 1.28SGcharged​≈1.25−1.28

3

Determine State of Discharge

When the specific gravity falls to the range of 1.101.101.10 to 1.151.151.15, it indicates that most of the sulfuric acid has been converted into lead sulfate and water, signifying the cell is in a discharged state.

SGdischarged≈1.10−1.15SG_{discharged} \approx 1.10 - 1.15SGdischarged​≈1.10−1.15

✅

B is correct because a specific gravity of 1.1 to 1.15 indicates that the concentration of sulfuric acid in the electrolyte is very low, which is a characteristic marker of a discharged lead-acid battery.

Core Concepts Used
Click any tag to open in AI Tutor
Lead-Acid Battery Chemistry Electrolyte Specific Gravity State of Charge (SoC)
💡 EXAM TIP

Specific gravity is measured using a hydrometer; this concept is critical in battery maintenance and automotive electrical engineering.

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