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More Last updated date: 10th Dec 2023
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# The electrolyte in the lead storage battery is dilute sulphuric acid. The concentration of sulphuric acid in a lead-storage battery must be between $4.8\text{ }M$ and $5.3\text{ }M$ for most efficient functioning: A $5\text{ }mL$ sulphuric acid sample of a particular battery requires $50\text{ }mL$ of $1.0\text{ }M\text{ }NaOH$ for complete neutralization. Which of the following statements about the functioning of the battery is the most appropriate? (A) The acid concentration in the battery is not in the most effective range.(B) The acid concentration in the battery is in the most effective range.(C) The acid concentration in the battery is hardly in the most effective range.(D) Only a good mechanic can tell whether or not the acid concentration in the battery is in the most effective range. Verified
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Hint: We know that a lead storage battery is also known as lead acid battery. The battery makes use of the electrochemical reaction which converts chemical energy into electrical energy by losing electrolytes when dissolved in sulphuric acid.

Volume of sample of sulphuric taken $=5\text{ }mL$ ; Volume of $NaOH$ required for neutralization $=50\text{ }mL$ Normality of $NaOH,$ required for neutralization $=1.0\text{ }M=1.0\text{ }N$
[Since, n-factor of $NaOH$ is 1 and ${{H}_{2}}S{{O}_{4}}$ ​ is two] $\because neq={{N}_{1}}{{V}_{1}}={{N}_{2}}{{V}_{2}}$
Also here, ${{N}_{1}}=\dfrac{1\times 50}{5}=10N.$
$\therefore Molarity=\dfrac{normality}{n-factor}=\dfrac{10}{2}=5M.$
Thus, the acid concentration in lead storage battery is in the most effective range between $4.8\text{ }to\text{ }5.3\text{ }M.$
Remember that lead storage batteries are cost efficient, have low internal impedance and are tolerant to overcharging. They are also heavy and bulky with a cycle life of $300$ to $500$ cycles. There are varieties of lead acid batteries such as lead calcium battery, lead antimony battery etc.