The equation [tex]P = -\log(c)[/tex] is an illustration of logarithms.
If the pH level of cranberry juice is 2.5, the hydronium ion concentration is [tex]3.16 \times 10^{-3}[/tex]
Given that
[tex]P = -\log(c)[/tex]
[tex]P = 2.5[/tex]
Substitute 2.5 for P in [tex]P = -\log(c)[/tex]
[tex]2.5 = -\log(c)[/tex]
Divide both sides by -1
[tex]-2.5 = \log(c)[/tex]
Take antilog of both sides
[tex]10^{-2.5} = c[/tex]
Rewrite as:
[tex]c = 10^{-2.5}[/tex]
Evaluate
[tex]c = 0.00316227766[/tex]
In standard form, we have:
[tex]c = 3.16 \times 10^{-3}[/tex]
Hence, the hydronium ion concentration is [tex]3.16 \times 10^{-3}[/tex]
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