If 20 mL of an acidic solution of pH 3 is diluted to 100 mL , the `H^(+)` ion concentration will be

Options

A. `1 xx 10^(-3) M`
B. `2xx10^(-3)M`
C. `2 xx 10^(-4)M`
D. `0.02 xx 10^(-4)M`

Answer

C

Explanation

pH=3 (given )
`:.[H^(+)]= 1 xx 10^(-3)M=1 xx 10^(-3)N`
`N_(1)V_(1)=N_(2)V_(2)`
` 1 xx 10^(-3) xx 20=N_(2) xx 100`
`N_(2)=2 xx 10^(-4)`
`:. [H^(+)]= 2 xx 10^(-4)M`