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.)

Ask by Knight Page. in the United States
Mar 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The pH of the solution is 2.

Solution

Step 1: Recall the formula for pH:
Step 2: For part (b), the concentration of hydrogen ions is given as
Step 3: Substitute the value into the pH formula:
Step 4: Recognize that
So,
Step 5: Therefore,
Final Answer:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To find the pH of a solution where , we can use the formula . Substituting in the values, we have:
So, the pH for this solution is .
Now, let’s talk about the real-world applications of pH measurement. Understanding pH is crucial in various fields, from agriculture to pharmaceuticals. Farmers use pH to ensure that soil is suitable for crops, while scientists rely on pH in labs to maintain reaction conditions. Water quality testing often involves measuring pH to ensure that it’s safe for drinking and aquatic life. It’s amazing how a simple number influences so many aspects of our daily lives!
Lastly, the importance of regularly checking pH levels cannot be overstated! A common mistake is assuming that pH levels remain constant. Environmental factors, such as rainfall or the introduction of new substances, can affect pH significantly. Therefore, frequent testing is essential, especially in sensitive environments like aquariums or hydroponic systems. Monitoring and adjusting pH can prevent disastrous outcomes, ensuring healthy plants or aquatic life.

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