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Multiple Choice
In a solution whose [H⁺] = 1.9 x 10⁻⁵ M at 25°C, what is the [OH⁻]? Is this solution acidic, basic, or neutral?
A
[OH⁻] = 5.3 x 10⁻¹⁰ M; the solution is acidic.
B
[OH⁻] = 1.0 x 10⁻⁷ M; the solution is neutral.
C
[OH⁻] = 5.3 x 10⁻¹⁰ M; the solution is basic.
D
[OH⁻] = 1.9 x 10⁻⁵ M; the solution is neutral.
Verified step by step guidance
1
Start by recalling the relationship between hydrogen ion concentration [H⁺] and hydroxide ion concentration [OH⁻] in water at 25°C, which is given by the ion product of water: \( K_w = [H^+] \times [OH^-] = 1.0 \times 10^{-14} \).
Given the [H⁺] concentration is \( 1.9 \times 10^{-5} \) M, use the formula \( [OH^-] = \frac{K_w}{[H^+]} \) to find the [OH⁻] concentration.
Substitute the known values into the equation: \( [OH^-] = \frac{1.0 \times 10^{-14}}{1.9 \times 10^{-5}} \).
Calculate the [OH⁻] concentration using the division of the ion product of water by the given [H⁺] concentration.
Determine the nature of the solution: if \( [H^+] > [OH^-] \), the solution is acidic; if \( [H^+] < [OH^-] \), the solution is basic; if \( [H^+] = [OH^-] \), the solution is neutral.