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pH levels of a solution

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A solution with pH 10 is changed to pH 7. How much stronger or weaker has the solution become? How many more/fewer hydrogen ions are there?

 

I was thinking because each step of the pH scale is 10x stronger/weaker, because pH 9 is 1 step (10x), pH 8 is 2 steps (100x), pH 7 is 3 steps (1000x), the solution has become weaker by 1000x. For the hydrogen ions, I was thinking the same thing applies, am I correct for thinking like this?

the solution is now neutral, it was basic so it has become less basic -> weaker base. The PH scale is logarithmic, base 10. the amount of Protons in the solution is 10^-7 moles per liter at a ph of 7 and 10^-10 at a ph of 10. The amount of protons has increased though, youll have (10^(-10))-(10^(-7)) protons

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