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Equal volumes of three acid solutions of...

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?

A

`3.7 xx 10 ^(-3) M`

B

`1.11 xx 10 ^(-3)M`

C

`1.11 xx 10 ^(-4) M`

D

`3.7 xx 10 ^(-4) M`

Text Solution

Verified by Experts

The correct Answer is:
D
`[ H ^(+)] = 10^(-3) M, [H ^()] = 10 ^(-4) M, [ H ^(+)] = 10 ^(-5) M` for the given acid,
`M _(mix) V _(mix) = M _(1) V _(1) + M _(2) V _(2)+ M _(3) V _(3) , M _(mix) xx 3 = 10 ^(-3) xx 1 + 10 ^(-4) xx 1 + 10 ^(-5) xx 1 `
`M _(mix) = (10 ^(-5) [ 100 + 1 0 + 1])/(3) = (11 1 xx 10 ^(-5))/( 3) = 37 xx 10 ^(-5) M = 3.7 xx 10 ^(-4) M`
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