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Multiple Choice
Calculate the concentration of a NaOH solution that has a pH of 11.3.
A
2.0 x 10^-3 M
B
1.0 x 10^-2 M
C
5.0 x 10^-3 M
D
7.9 x 10^-3 M
Verified step by step guidance
1
Understand that pH is a measure of the hydrogen ion concentration in a solution. The pH scale is logarithmic, and a pH of 7 is neutral. A pH greater than 7 indicates a basic solution.
Recall the relationship between pH and pOH: \( \text{pH} + \text{pOH} = 14 \). Since the pH is given as 11.3, calculate the pOH by subtracting the pH from 14.
Use the formula \( \text{pOH} = -\log[\text{OH}^-] \) to find the hydroxide ion concentration. Rearrange this formula to solve for \([\text{OH}^-]\): \([\text{OH}^-] = 10^{-\text{pOH}}\).
Substitute the calculated pOH value into the equation \([\text{OH}^-] = 10^{-\text{pOH}}\) to find the concentration of hydroxide ions in the solution.
The concentration of NaOH in the solution is equal to the concentration of \([\text{OH}^-]\) because NaOH dissociates completely in water. Therefore, the concentration of NaOH is the same as the \([\text{OH}^-]\) concentration calculated in the previous step.