Question
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The pH of a chemical solution is given by the formula , where is the concentration of
hydrogen ions in moles per liter. Values of pH range from 0 (acidic) to 14 (alkaline). Answer parts (a) through (f).
(a) What is the pH of a solution for which is 0.1 ?
(Type an integer or a decimal.)
(b) What is the pH of a solution for which is 0.01 ?
(Type an integer or a decimal.)
© What is the pH of a solution for which is 0.001 ?
(Type an integer or a decimal.)

Ask by Welch Whittaker. in the United States
Mar 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The pH of the solution is 3.

Solution

Let .
Since , we have:
Using the logarithm property , we get:
Thus, the pH of the solution is .

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Simplify this solution

Beyond the Answer

To find the pH for a solution where is 0.001, you simply plug the concentration into the pH formula:
So, .
Understanding the pH scale can be quite fun! Did you know that lemon juice has a pH of around 2, making it quite acidic? On the other hand, substances like baking soda have a pH around 9, classifying them as alkaline. The pH scale is a handy way to characterize so many of the foods and beverages we enjoy every day!
For practical applications, knowing pH is crucial in a variety of fields such as agriculture, health, and environmental science. For example, farmers need to measure soil pH to determine what crops will thrive best, while aquarists closely monitor the pH of the water to keep fish healthy. A slight imbalance can cause stress or even death in aquatic life, making this knowledge essential!

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