Questions: If the hydrogen ion concentration of a solution is 10^-8 molar, the solution has a pH of
(A) 10.8
(B) 8
(C) 10^-8
(D) -8
Transcript text: If the hydrogen ion concentration of a solution is $10^{-8}$ molar, the solution has a pH of $\qquad$
(A) 10.8
(B) 8
(C) $10^{-8}$
(D) -8
Solution
Solution Steps
Step 1: Understanding pH Calculation
The pH of a solution is calculated using the formula:
\[ \text{pH} = -\log[\text{H}^+] \]
where \([\text{H}^+]\) is the hydrogen ion concentration.
Step 2: Applying the Formula
Given the hydrogen ion concentration \([\text{H}^+] = 10^{-8}\) molar, we substitute this value into the formula:
\[ \text{pH} = -\log(10^{-8}) \]
Step 3: Simplifying the Logarithm
Using the properties of logarithms, we know that:
\[ -\log(10^{-8}) = -(-8) = 8 \]