A Solution Of HCl Has $\left[ H^+ \right] = 0.01 \, \text{M}$. What Is The PH Of This Solution?Use $\text{pH} = -\log \left[ H_3O^+ \right\].A. -2 B. -1 C. 1 D. 2

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Understanding pH and Its Significance

pH is a measure of the concentration of hydrogen ions in a solution, which is crucial in various chemical reactions and processes. It is defined as the negative logarithm of the concentration of hydrogen ions, denoted as [H+]. The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic.

Calculating pH from Concentration

To calculate the pH of a solution, we use the formula: pH = -log[H+]. This formula indicates that the pH is the negative logarithm of the concentration of hydrogen ions in the solution. In this case, we are given a solution of HCl with a concentration of [H+] = 0.01 M.

Applying the Formula

Using the formula pH = -log[H+], we can substitute the given concentration of hydrogen ions into the equation. This gives us: pH = -log(0.01). To solve this, we need to find the logarithm of 0.01.

Finding the Logarithm

The logarithm of 0.01 can be calculated using a calculator or by using the properties of logarithms. We know that log(0.01) = -2, since 10^(-2) = 0.01. Therefore, substituting this value into the equation, we get: pH = -(-2).

Simplifying the Equation

Simplifying the equation, we get: pH = 2. This means that the pH of the solution is 2.

Conclusion

In conclusion, the pH of a solution of HCl with a concentration of [H+] = 0.01 M is 2. This is calculated using the formula pH = -log[H+], where [H+] is the concentration of hydrogen ions in the solution.

Discussion

The pH of a solution is a critical parameter in various chemical reactions and processes. In this case, we have calculated the pH of a solution of HCl with a concentration of [H+] = 0.01 M. The result shows that the pH of the solution is 2, which is acidic.

Comparison with Options

Comparing the calculated pH with the given options, we can see that the correct answer is D. 2.

Final Answer

The final answer is D. 2.

Additional Information

  • pH is a measure of the concentration of hydrogen ions in a solution.
  • The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic.
  • The formula to calculate pH is: pH = -log[H+], where [H+] is the concentration of hydrogen ions in the solution.
  • The logarithm of 0.01 is -2, since 10^(-2) = 0.01.
  • The pH of a solution of HCl with a concentration of [H+] = 0.01 M is 2.

Understanding pH and Its Significance

pH is a measure of the concentration of hydrogen ions in a solution, which is crucial in various chemical reactions and processes. It is defined as the negative logarithm of the concentration of hydrogen ions, denoted as [H+]. The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic.

Calculating pH from Concentration

To calculate the pH of a solution, we use the formula: pH = -log[H+]. This formula indicates that the pH is the negative logarithm of the concentration of hydrogen ions in the solution. In this case, we are given a solution of HCl with a concentration of [H+] = 0.01 M.

Q&A

Q: What is pH and why is it important?

A: pH is a measure of the concentration of hydrogen ions in a solution, which is crucial in various chemical reactions and processes. It is defined as the negative logarithm of the concentration of hydrogen ions, denoted as [H+]. The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic.

Q: How do I calculate the pH of a solution?

A: To calculate the pH of a solution, we use the formula: pH = -log[H+]. This formula indicates that the pH is the negative logarithm of the concentration of hydrogen ions in the solution.

Q: What is the pH of a solution of HCl with a concentration of [H+] = 0.01 M?

A: Using the formula pH = -log[H+], we can substitute the given concentration of hydrogen ions into the equation. This gives us: pH = -log(0.01). To solve this, we need to find the logarithm of 0.01. The logarithm of 0.01 can be calculated using a calculator or by using the properties of logarithms. We know that log(0.01) = -2, since 10^(-2) = 0.01. Therefore, substituting this value into the equation, we get: pH = -(-2). Simplifying the equation, we get: pH = 2.

Q: What is the pH scale and how does it relate to acidity and basicity?

A: The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic. A pH of 0 is strongly acidic, while a pH of 14 is strongly basic.

Q: What is the significance of pH in everyday life?

A: pH is a critical parameter in various chemical reactions and processes. It is used in various industries such as food, pharmaceuticals, and cosmetics to ensure the quality and safety of products. pH is also used in medical applications to diagnose and treat various diseases.

Conclusion

In conclusion, the pH of a solution of HCl with a concentration of [H+] = 0.01 M is 2. This is calculated using the formula pH = -log[H+], where [H+] is the concentration of hydrogen ions in the solution. Understanding pH and its significance is crucial in various chemical reactions and processes.

Additional Information

  • pH is a measure of the concentration of hydrogen ions in a solution.
  • The pH scale ranges from 0 to 14, with a pH of 7 being neutral, below 7 being acidic, and above 7 being basic.
  • The formula to calculate pH is: pH = -log[H+], where [H+] is the concentration of hydrogen ions in the solution.
  • The logarithm of 0.01 is -2, since 10^(-2) = 0.01.
  • The pH of a solution of HCl with a concentration of [H+] = 0.01 M is 2.

Frequently Asked Questions

Q: What is the pH of a solution of HCl with a concentration of [H+] = 0.1 M?

A: Using the formula pH = -log[H+], we can substitute the given concentration of hydrogen ions into the equation. This gives us: pH = -log(0.1). To solve this, we need to find the logarithm of 0.1. The logarithm of 0.1 can be calculated using a calculator or by using the properties of logarithms. We know that log(0.1) = -1, since 10^(-1) = 0.1. Therefore, substituting this value into the equation, we get: pH = -(-1). Simplifying the equation, we get: pH = 1.

Q: What is the pH of a solution of HCl with a concentration of [H+] = 0.001 M?

A: Using the formula pH = -log[H+], we can substitute the given concentration of hydrogen ions into the equation. This gives us: pH = -log(0.001). To solve this, we need to find the logarithm of 0.001. The logarithm of 0.001 can be calculated using a calculator or by using the properties of logarithms. We know that log(0.001) = -3, since 10^(-3) = 0.001. Therefore, substituting this value into the equation, we get: pH = -(-3). Simplifying the equation, we get: pH = 3.

Q: What is the pH of a solution of HCl with a concentration of [H+] = 0.0001 M?

A: Using the formula pH = -log[H+], we can substitute the given concentration of hydrogen ions into the equation. This gives us: pH = -log(0.0001). To solve this, we need to find the logarithm of 0.0001. The logarithm of 0.0001 can be calculated using a calculator or by using the properties of logarithms. We know that log(0.0001) = -4, since 10^(-4) = 0.0001. Therefore, substituting this value into the equation, we get: pH = -(-4). Simplifying the equation, we get: pH = 4.