A lead storage battery containing `5.01.` of `(IN)H_(2)SO_(4)` solution is opcrated for `9.65 xx10^(5)` s with a stcady current jof 100 mA. Assuming volume of the soution remaining constant, normality of `H_(2) SO_(4)` will

Options

A. remain tmchanged
B. increases by 0.20
C. increase by unity
D. decrease by 0.40

Answer

D

Explanation

`({:(Pb+SO_(4)^(2-)to PbSO_(4)+2e^(-)),(PbO_(2)+ 4H^(+)+SO_(4)^(2-) +2e^(-) to PbSO_(4)+2H_(2)O):})/(Pb+PbO_(2)+2H_(2) SO_(4) to 2P bSO_(4)+2H_(2)O)`
The reactio indicates that 2 moles of `H_(2)SO_(4)`
corresponds ot `2xx96500` C and 2 moles `H_(2)SO_(4) -=4` equive. of `H_(2) SO_(4).`
`2xx96500` C consumed 4 equive. of `H_(2)SO_(4)`
and `100xx10^(-3) xx9.65 xx10^(5)C` consumed
`=(4xx100xx10^(-3) xx9.95 xx10^(5))/(2xx96500)=2` equiv. `H_(2) SO_(4)`
`therefore ` Decrease in normality `=2/5=0.40`