Question

Two-Step AlgebraIn order to solve the equation above for , you must:Step OneAdd the same expression to each side of the equation to leave the term that includes the variable by itself on the right-hand side of the expression:answer the question that appears in the picture

Answer 1

a. pH = 2.22.

b. [H+] = 9.840 x 10⁻⁴ mol/L.

Step-by-step explanation:

Acids and Bases => Calculatin pH of Acids and Bases.

The formula to calculate the pH of a given hydrogen ion concentration is the following:

`pH=-log\lbrack H{}^+],`

where [H+] is the concentration of hydrogen ions.

Now, if we want to find the concentration of hydrogen ions, [H+] of a given pH, based on the given formula we can obtain the formula of [H+], as follows:

`[H^+]=10^(-pH).`

So based on the given formulas, we can solve the problems:

a. We just have to replace the hydrogen ion concentration [H+] = 6.06 x 10⁻³ mol/L in the first formula, like this:

`\begin{gathered} pH=-log\lbrack6.06\cdot10^(-3)], \\ \\ pH=2.217\approx2.22. \end{gathered}`

The answer would be that the pH is 2.22.

b. To find the hydrogen ion concentration with a pH of 3.007 we use the second formula, like this:

`\begin{gathered} [H^+]=10^(-3.007), \\ \\ [H^+]=9.840\cdot10^(-4). \end{gathered}`

The answer would be that the hydrogen ion concentration is [H+] = 9.840 x 10⁻⁴ mol/L.