When a lead storage battery is discharged then the following cell reaction takes place
`Pb+PbO_(2)+2H_(2)SO_(4)rarr2PbSO_($)+2H_(2)O`
Density of electrolyte depends upon number of constituent ions present in per unit volume of electrolyte solution . In this case density of electrolyte decreases as water is formed and sulphuric acid is consumed as the product during discharge of the battery.