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Ch.17 - Acids and Bases
Tro - Chemistry: A Molecular Approach 5th Edition
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371당신이 사용하는 게 아니라요?교과서 변경
17장, 문제 50b,c

Calculate [H3O+] and [OH] for each solution at 25 °C. b. pH = 11.23 c. pH = 2.87

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Start by recalling the relationship between pH and [H3O+]: \( \text{pH} = -\log[\text{H}_3\text{O}^+] \).
Rearrange the equation to solve for [H3O+]: \( [\text{H}_3\text{O}^+] = 10^{-\text{pH}} \).
Substitute the given pH value into the equation to find [H3O+].
Use the water dissociation constant at 25 °C, \( K_w = 1.0 \times 10^{-14} \), to find [OH-] using the relationship \( [\text{H}_3\text{O}^+] \times [\text{OH}^-] = K_w \).
Rearrange the equation to solve for [OH-]: \( [\text{OH}^-] = \frac{K_w}{[\text{H}_3\text{O}^+]} \) and substitute the value of [H3O+] to find [OH-].

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

pH Scale

The pH scale measures the acidity or basicity of a solution, ranging from 0 to 14. A pH of 7 is considered neutral, while values below 7 indicate acidity and values above 7 indicate basicity. The pH is defined as the negative logarithm of the hydrogen ion concentration, [H+], in a solution, which is crucial for determining the concentration of hydronium ions, [H3O+].
추천 영상:

Ion Product of Water (Kw)

The ion product of water, Kw, is the equilibrium constant for the self-ionization of water, defined as Kw = [H3O+][OH-] = 1.0 x 10^-14 at 25 °C. This relationship allows us to calculate the concentration of hydroxide ions, [OH-], when the concentration of hydronium ions, [H3O+], is known, and vice versa. Understanding Kw is essential for solving problems involving pH and pOH.
추천 영상:
가이드 코스
00:53
Production of Hydrogen Example

Hydronium and Hydroxide Ion Concentrations

In aqueous solutions, the concentrations of hydronium ions, [H3O+], and hydroxide ions, [OH-], are inversely related due to the ion product of water. For a basic solution, like one with a pH of 11.23, [H3O+] will be lower than 1.0 x 10^-7 M, while [OH-] will be higher than 1.0 x 10^-7 M. Calculating these concentrations is essential for understanding the solution's properties and behavior.
추천 영상:
가이드 코스
06:25
Hydronium Ion Concentration Example