What Is The $\left[ H ^{+}\right\] Of A Solution With A PH Of $6.6$?Use A Scientific Calculator To Choose The Correct Value:A. $5.0 \times 10^{-5}$B. $8.3 \times 10^{-6}$C. $7.7 \times 10^{-5}$D. $2.5

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Introduction

pH is a measure of the concentration of hydrogen ions in a solution. It is a crucial concept in chemistry, particularly in the study of acids and bases. In this article, we will explore the relationship between pH and the concentration of hydrogen ions, and use this knowledge to solve a problem involving a solution with a pH of 6.6.

What is pH?

pH is defined as the negative logarithm of the concentration of hydrogen ions in a solution. Mathematically, it can be expressed as:

pH = -log[H+]

where [H+] is the concentration of hydrogen ions in moles per liter (M).

Understanding the pH Scale

The pH scale is a measure of the acidity or basicity of a solution. It ranges from 0 to 14, with 7 being neutral. A pH less than 7 indicates an acidic solution, while a pH greater than 7 indicates a basic solution.

Calculating the Concentration of Hydrogen Ions

To calculate the concentration of hydrogen ions in a solution, we can use the pH formula:

[H+] = 10^(-pH)

This formula allows us to calculate the concentration of hydrogen ions in a solution given its pH.

Solving the Problem

Now, let's use this knowledge to solve the problem posed in the question. We are given a solution with a pH of 6.6, and we need to find the concentration of hydrogen ions in this solution.

Using the formula:

[H+] = 10^(-pH)

we can plug in the value of pH to get:

[H+] = 10^(-6.6)

Using a scientific calculator, we can calculate the value of 10^(-6.6) to be approximately 2.5 x 10^(-7).

Choosing the Correct Answer

Now that we have calculated the concentration of hydrogen ions in the solution, we can compare it to the answer choices provided.

A. 5.0 x 10^(-5) B. 8.3 x 10^(-6) C. 7.7 x 10^(-5) D. 2.5 x 10^(-7)

Based on our calculation, the correct answer is:

D. 2.5 x 10^(-7)

Conclusion

In this article, we explored the relationship between pH and the concentration of hydrogen ions in a solution. We used this knowledge to solve a problem involving a solution with a pH of 6.6, and calculated the concentration of hydrogen ions in this solution. We then compared our answer to the answer choices provided and chose the correct answer.

Key Takeaways

  • pH is a measure of the concentration of hydrogen ions in a solution.
  • The pH scale ranges from 0 to 14, with 7 being neutral.
  • The concentration of hydrogen ions in a solution can be calculated using the formula: [H+] = 10^(-pH).
  • A solution with a pH of 6.6 has a concentration of hydrogen ions of approximately 2.5 x 10^(-7) M.

References

  • Atkins, P. W., & de Paula, J. (2010). Physical chemistry. Oxford University Press.
  • Chang, R. (2010). Chemistry: The Central Science. McGraw-Hill.

Further Reading

  • For more information on pH and the concentration of hydrogen ions, see the following resources:
  • National Institute of Standards and Technology (NIST) - pH
  • American Chemical Society (ACS) - pH and Acidity
  • Khan Academy - pH and Acidity
    Frequently Asked Questions (FAQs) About pH and Hydrogen Ions ================================================================

Q: What is pH and how is it related to hydrogen ions?

A: pH is a measure of the concentration of hydrogen ions in a solution. It is defined as the negative logarithm of the concentration of hydrogen ions in moles per liter (M). Mathematically, it can be expressed as:

pH = -log[H+]

where [H+] is the concentration of hydrogen ions in moles per liter (M).

Q: What is the pH scale and how does it work?

A: The pH scale is a measure of the acidity or basicity of a solution. It ranges from 0 to 14, with 7 being neutral. A pH less than 7 indicates an acidic solution, while a pH greater than 7 indicates a basic solution.

Q: How do I calculate the concentration of hydrogen ions in a solution?

A: To calculate the concentration of hydrogen ions in a solution, you can use the pH formula:

[H+] = 10^(-pH)

This formula allows you to calculate the concentration of hydrogen ions in a solution given its pH.

Q: What is the difference between pH and pOH?

A: pH and pOH are two related but distinct concepts. pH is a measure of the concentration of hydrogen ions in a solution, while pOH is a measure of the concentration of hydroxide ions in a solution. The two are related by the equation:

pH + pOH = 14

Q: How do I determine if a solution is acidic, basic, or neutral?

A: To determine if a solution is acidic, basic, or neutral, you can use the pH scale. A pH less than 7 indicates an acidic solution, while a pH greater than 7 indicates a basic solution. A pH of 7 indicates a neutral solution.

Q: What is the relationship between pH and the concentration of hydrogen ions?

A: The pH of a solution is directly related to the concentration of hydrogen ions in the solution. The more hydrogen ions present in a solution, the lower the pH will be. Conversely, the fewer hydrogen ions present in a solution, the higher the pH will be.

Q: Can pH be used to predict the behavior of a solution?

A: Yes, pH can be used to predict the behavior of a solution. For example, a solution with a low pH (high concentration of hydrogen ions) may be more likely to corrode metal surfaces, while a solution with a high pH (low concentration of hydrogen ions) may be more likely to form precipitates.

Q: How do I use pH to determine the concentration of hydrogen ions in a solution?

A: To use pH to determine the concentration of hydrogen ions in a solution, you can use the pH formula:

[H+] = 10^(-pH)

This formula allows you to calculate the concentration of hydrogen ions in a solution given its pH.

Q: What are some common applications of pH in everyday life?

A: pH has many common applications in everyday life, including:

  • Water treatment: pH is used to determine the acidity or basicity of water and to adjust its pH to make it safe for drinking.
  • Food processing: pH is used to determine the acidity or basicity of food products and to adjust their pH to make them safe for consumption.
  • Pharmaceutical industry: pH is used to determine the acidity or basicity of pharmaceutical products and to adjust their pH to make them safe for use.

Q: How do I measure pH in a solution?

A: pH can be measured using a variety of methods, including:

  • pH meter: A pH meter is a device that measures the pH of a solution by detecting the concentration of hydrogen ions.
  • pH paper: pH paper is a type of paper that changes color in response to changes in pH.
  • pH indicator: A pH indicator is a substance that changes color in response to changes in pH.

Q: What are some common mistakes to avoid when working with pH?

A: Some common mistakes to avoid when working with pH include:

  • Not calibrating your pH meter properly
  • Not using a pH meter that is suitable for the type of solution you are working with
  • Not taking into account the temperature of the solution when measuring pH
  • Not using a pH indicator that is suitable for the type of solution you are working with.