Equal volumes of three acid solutions of `pH 3, 4` and `5` are mixed in a vessel. What will be the `H^(+)` ion concentration in the mixture?

Options

A. `3.7xx10^(-3)M`
B. `1.11xx10^(-3)M`
C. `1.11xx10^(-4)M`
D. `3.7xx10^(-4)M`

Answer

D

Explanation

for three acids
`[H^(+)]_(1)=10^(-3)M, [H^(+)]_(2)=10^(4)M, [H^(+)]_(3)=10^(-5)M`
and `M_("mix")V_("mix")=M_(1)V_(1)+M_(2)V_(2)+M_(3)V_(3)`
`M_("mix")xx3=10^(-3)1+10^(-4)xx1+10^(-5)xx1`
`rArrM_("mix")=3.7xx10^(-4)M`