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Question

Equal volumes of 0.02 M HCl and 0.04 M NaOH solutions are mixed. The pH of the mixture is:

A
10
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B
2
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C
7
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D
12
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Solution

The correct option is B 12
It is given that equal volumes of 0.02 M HCl and 0.04 M NaOH solutions are mixed.

Let us assume that x L each of HCl and NaOH solutions are mixed.
The formula for the hydroxide ion concentration is [OH]=MbVbMaVaVa+Vb
On substituting values in the above expression, we get
[OH]=0.04×x0.02×xx+x=0.02 x2 x=0.01M
pOH=log [OH]=log (0.01)=2
pH=14pOH=142=12

Hence, the pH of the mixture is 12.

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