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A solution has a hydronium concentration of [tex]$4.7 \times 10^{-11}$[/tex]. What is the pH of the solution?

The pH of the solution is [tex]\square[/tex].

Sagot :

GinnyAnswer
To determine the pH of a solution with a given hydronium ion concentration, we use the commonly known formula:

[tex]\[ \text{pH} = -\log_{10} [\text{H}_3\text{O}^+] \][/tex]

Here, the hydronium ion concentration ([tex]\[\text{H}_3\text{O}^+\][/tex]) is given as [tex]\(4.7 \times 10^{-11}\)[/tex].

Following the formula step-by-step:

1. Take the logarithm (base 10) of the hydronium ion concentration:
[tex]\[ \log_{10} (4.7 \times 10^{-11}) \][/tex]

2. Then, apply the negative sign as per the pH formula:
[tex]\[ \text{pH} = - \log_{10} (4.7 \times 10^{-11}) \][/tex]

After calculating this, we find that the pH value is approximately 10.33.

Therefore, the pH of the solution is [tex]\( \boxed{10.33} \)[/tex].
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