Questions: Calculate the H^+ ion concentration in a solution with a pH of 3.85.

Calculate the H^+ ion concentration in a solution with a pH of 3.85.
Transcript text: Calculate the $\mathrm{H}^{+}$ ion concentration in a solution with a pH of 3.85.
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Solution

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Solution Steps

Step 1: Understanding the Relationship Between pH and \(\mathrm{H}^{+}\) Ion Concentration

The pH of a solution is defined as the negative logarithm (base 10) of the hydrogen ion concentration. Mathematically, this is expressed as: \[ \text{pH} = -\log_{10}[\mathrm{H}^{+}] \]

Step 2: Rearranging the Formula to Solve for \([\mathrm{H}^{+}]\)

To find the \(\mathrm{H}^{+}\) ion concentration, we need to rearrange the formula: \[ [\mathrm{H}^{+}] = 10^{-\text{pH}} \]

Step 3: Substituting the Given pH Value

Substitute the given pH value of 3.85 into the formula: \[ [\mathrm{H}^{+}] = 10^{-3.85} \]

Step 4: Calculating the \(\mathrm{H}^{+}\) Ion Concentration

Calculate the \(\mathrm{H}^{+}\) ion concentration using the expression: \[ [\mathrm{H}^{+}] = 10^{-3.85} \approx 1.413 \times 10^{-4} \]

Final Answer

The \(\mathrm{H}^{+}\) ion concentration in the solution is \(\boxed{1.413 \times 10^{-4}}\).

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