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Multiple Choice
Chemistry student prepared an aqueous solution at 30ºC. If the solutions contains 7.42 × 10−9 M of hydroxide ions, calculate the pH.
A
5.703
B
8.130
C
8.300
D
5.980
Verified step by step guidance
1
Start by understanding the relationship between hydroxide ions (OH⁻) and hydrogen ions (H⁺) in water. The product of their concentrations is given by the ion-product constant for water (Kw), which at 30ºC is approximately 1.47 × 10⁻¹⁴.
Use the formula Kw = [H⁺][OH⁻] to find the concentration of hydrogen ions. Rearrange the formula to solve for [H⁺]: [H⁺] = Kw / [OH⁻]. Substitute the given values: Kw = 1.47 × 10⁻¹⁴ and [OH⁻] = 7.42 × 10⁻⁹ M.
Calculate the concentration of hydrogen ions [H⁺] using the values from the previous step.
Once you have [H⁺], calculate the pH using the formula pH = -log[H⁺].
Compare the calculated pH value with the given options to determine the correct answer.