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Question

Equal volume of solutions of $$pH$$ values $$1, \:3,\: 5$$ and $$6$$ are mixed. The $$pH$$ of resultant solution is nearly:


A
1.3
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B
2.7
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C
1.6
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D
3.6
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Solution

The correct option is B $$1.6$$
The $$pH$$ of solution is the negative logarithm of hydrogen ion concentration.
$$pH=-log[H^+]$$.
Hence, $$[H^+]=10^{-pH} $$
pH of values $$1,\: 3,\: 5$$ and $$6$$ corresponds to hydrogen ion concentrations of $$0.1 M$$, $$0.001 M$$, $$0.00001 M$$ and $$0.000001 M$$ respectively.

Assume that $$1$$ L of each solution is mixed.
The concentration of the resulting solution is $$ \dfrac { 0.1 M + 0.001 M + 0.00001 M + 0.000001 M} {4} =0.025253\ M$$.
$$pH = -log [H^+] = -log( 0.025253)=1.6$$.
Hence, the $$pH$$ of the resultant solution is $$1.6$$.

Chemistry

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