Diluting 0.01 M HCl to pH 8.0: Question & Explanation

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SUMMARY

It is impossible to dilute a 0.01 M HCl solution, which has a pH of 2.0, to achieve a pH of 8.0 using pure water. The maximum pH attainable through dilution with water is 7.0 due to the autodissociation of water. This conclusion is supported by the principles of acid-base chemistry and the limitations of pH adjustment through dilution alone.

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I have a question about acid and base rxns.

For example, if I have a solution of 0.01 M HCl which has pH 2.0. How much should I add H2O to dilute the solution to pH 8.0.

I am not sure what to do and how can I explain this problem.

Thanks
 
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