A lead storage battery consists of a lead anode and a grid of lead packed with lead dioxide as the cathode. The electrolyte taken is 39% H₂SO₄ by mass having a density of 1.294 g mL^-1. The battery holds 3.5 L of the acid. During the discharge of the battery, the density of H₂SO₄ falls from 1.294 g mL^-1 to 1.139 g mL^-1 which is 20% by H₂SO₄ mass.

What is the amount of charge in coulombs used up by the battery?

954180

The correct answer is option 1. 954180.

\(\text{During discharge reaction, 4 moles of }H^+\text{ ions, i.e., 2 moles of }H_2SO_4\text{ require 2F, i.e., 2 × 96500 coulombs}\)

∴ \(\text{9.88786 moles will require =}\)

\(\frac{2\text{ × }96500\text{ × }9.88786}{2}\)

\(\text{= 954178 coulombs}\)