QuestionCalculate the $\mathrm{pH}$ for $\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=5.79 \times 10^{-4} \mathrm{M}$ .

Studdy Solution

STEP 1

Assumptions1. The concentration of $\mathrm{H}_{3} \mathrm{}^{+}$ is given as $5.79 \times10^{-4} M$ . The formula to calculate pH is $-\log{10}\left[\mathrm{H}_{3} \mathrm{}^{+}\right]$

STEP 2

Plug in the given value for the concentration of $\mathrm{H}_{} \mathrm{}^{+}$ into the formula to calculate pH.
$\mathrm{pH}=-\log{10}\left[5.79 \times10^{-4}\right]$

STEP 3

Calculate the pH value.
The pH value is calculated by taking the negative logarithm (base10) of the hydronium ion concentration. $\mathrm{pH} = -\log{10}(5.79 \times10^{-})$

STEP 4

The pH value is approximately3.24 when rounded to two decimal places.
The solution to this problem is $\mathrm{pH} =3.24$ .

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