I'd like my working out to be sanity checked. Here goes:
I made up a 1.0 M solution of NaOH which by definition is pH 14. The next solution of pH 13 was made by taking a 5 mL aliquot of the former solution
and diluting it to 50 mL by adding 45 mL of water. The concentration in this new solution has now been shifted by an order of magnitude, which accords
with the pH scale.
The next solution of pH 12 was made in the same fashion: a 5 mL aliquot of pH 13 solution was diluted to 50 mL by adding 45 mL of water.
And so on and so forth until I had the whole set of pH values down to 8.
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