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Ch.10 Acids and Bases and Equilibrium
Timberlake - Chemistry: An Introduction to General, Organic, and Biological Chemistry 14th Edition
Timberlake14th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249Not the one you use?Change textbook
Chapter 10, Problem 88c

Determine the pH for the following solutions:
c. [H3O+] = 0.0001 M

Verified step by step guidance
1
Step 1: Recall the formula for calculating pH, which is given by: pH=-log([H3O]). This formula relates the hydronium ion concentration to the pH of the solution.
Step 2: Identify the given value for the hydronium ion concentration, [H3O], which is 0.0001 M.
Step 3: Substitute the given value of [H3O into the pH formula: pH=-log(0.0001).
Step 4: Simplify the logarithmic expression. Recall that log(10^-4) simplifies to -4, so -log(0.0001) becomes 4.
Step 5: Conclude that the pH of the solution is equal to 4. This indicates that the solution is acidic, as pH values less than 7 correspond to acidic solutions.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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 alkalinity. The scale is logarithmic, meaning each whole number change represents a tenfold change in hydrogen ion concentration.
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Hydronium Ion Concentration

Hydronium ions (H₃O⁺) are formed when an acid donates a proton to water. The concentration of hydronium ions in a solution directly influences its pH. For example, a higher concentration of H₃O⁺ results in a lower pH, indicating a more acidic solution.
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Calculating pH

To calculate pH from hydronium ion concentration, the formula pH = -log[H₃O⁺] is used. This formula allows for the conversion of the molarity of hydronium ions into a pH value. For instance, if [H₃O⁺] = 0.0001 M, the pH can be calculated as 4, indicating an acidic solution.
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