What is the hydroxide ion concentration of the lake described in question 3?
a. 10⁻¹⁰ M
b. 10⁻⁴ M
c. 10⁻⁷ M
d. 10.0 M

검증된 단계별 안내

Identify the pH of the lake from question 3, as the hydroxide ion concentration is related to the pH value.

Recall the relationship between pH and pOH: \( \text{pH} + \text{pOH} = 14 \). Use this equation to find the pOH if the pH is known.

Use the formula \( \text{pOH} = -\log[\text{OH}^-] \) to calculate the hydroxide ion concentration \([\text{OH}^-]\).

Convert the pOH value to the hydroxide ion concentration using the inverse logarithmic function: \([\text{OH}^-] = 10^{-\text{pOH}}\).

Compare the calculated hydroxide ion concentration with the given options (a, b, c, d) to determine the correct answer.

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주요 개념

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pH and pOH Relationship

The pH and pOH of a solution are related through the equation pH + pOH = 14 at 25°C. This relationship helps determine the concentration of hydroxide ions if the pH is known. Understanding this concept is crucial for calculating the hydroxide ion concentration from the given options.

Hydroxide Ion Concentration

Hydroxide ion concentration is a measure of the amount of OH− ions present in a solution. It is expressed in molarity (M), which indicates moles per liter. Calculating this concentration involves understanding the dissociation of water and the balance between H+ and OH− ions in a solution.

Water Ionization Constant (Kw)

The ionization constant of water (Kw) is 1.0 x 10^-14 at 25°C, representing the product of the concentrations of H+ and OH− ions in pure water. This constant is essential for calculating either ion concentration when the other is known, using the formula [H+][OH−] = Kw.