Question #85261

If solution A has 10,000 times as many H+ ions as solution B, what is the difference in pH units between the two solutions? Explain.

Expert's answer

Let "a" is concentration of hydrogen ions in solution A, and "b" is concentration of hydrogen ions in solution B.

pH of solution A is log(a), while pH of solution B is log(b).

We know that a/b = 10000

Let's take logarithm of both parts:

log(a/b) = log(10000)

log(a/b) =log(a) - log(b) (it is a known math function), which is the difference in pH we need to identify.

log(a) - log(b) = log(10000)

log(a) - log(b) = 4

So, pH of solution A is 4 units greater than pH of solution B.

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