How Much 0.05 M HCl Solution Can Be Made By Diluting 250 ML Of 10 M HCl?Show Your Work Here:$\[ V_2 = \square \, \text{mL} \\]

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Understanding the Problem

In this article, we will explore the concept of dilution and how to calculate the volume of a diluted solution. Specifically, we will determine how much 0.05 M HCl solution can be made by diluting 250 mL of 10 M HCl.

What is Dilution?

Dilution is the process of reducing the concentration of a solution by adding a solvent, such as water. This can be done to make a solution less concentrated, more suitable for a particular application, or to increase the volume of the solution.

The Dilution Formula

The dilution formula is used to calculate the volume of a diluted solution. It is given by:

V2=V1×C1C2{ V_2 = \frac{V_1 \times C_1}{C_2} }

Where:

  • V2{ V_2 } is the volume of the diluted solution
  • V1{ V_1 } is the initial volume of the concentrated solution
  • C1{ C_1 } is the initial concentration of the concentrated solution
  • C2{ C_2 } is the final concentration of the diluted solution

Calculating the Volume of the Diluted Solution

In this problem, we are given 250 mL of 10 M HCl and want to make a 0.05 M HCl solution. We can use the dilution formula to calculate the volume of the diluted solution.

First, we need to identify the values given in the problem:

  • V1=250{ V_1 = 250 } mL (initial volume of the concentrated solution)
  • C1=10{ C_1 = 10 } M (initial concentration of the concentrated solution)
  • C2=0.05{ C_2 = 0.05 } M (final concentration of the diluted solution)

Now, we can plug these values into the dilution formula:

V2=V1×C1C2{ V_2 = \frac{V_1 \times C_1}{C_2} }

V2=250 mL×10 M0.05 M{ V_2 = \frac{250 \, \text{mL} \times 10 \, \text{M}}{0.05 \, \text{M}} }

V2=25000.05{ V_2 = \frac{2500}{0.05} }

V2=50000 mL{ V_2 = 50000 \, \text{mL} }

Therefore, 250 mL of 10 M HCl can be diluted to make 50000 mL (or 50 L) of 0.05 M HCl solution.

Discussion

In this article, we have demonstrated how to calculate the volume of a diluted solution using the dilution formula. This formula is a useful tool for chemists and laboratory technicians who need to prepare solutions of specific concentrations.

It is worth noting that the dilution formula assumes that the volume of the solvent added is negligible compared to the initial volume of the concentrated solution. In practice, this is often the case, but it is always a good idea to check the volume of the solvent added to ensure that it is indeed negligible.

Conclusion

In conclusion, we have shown how to calculate the volume of a diluted solution using the dilution formula. This formula is a powerful tool for chemists and laboratory technicians who need to prepare solutions of specific concentrations. By following the steps outlined in this article, you can easily calculate the volume of a diluted solution and prepare the solution you need for your experiments.

References

  • [1] "Dilution" by Wikipedia. Retrieved February 2023.
  • [2] "Chemical Calculations" by John E. McMurry. Retrieved February 2023.

Additional Resources

  • [1] "Dilution Calculator" by Chemistry LibreTexts. Retrieved February 2023.
  • [2] "Dilution Formula" by Wolfram Alpha. Retrieved February 2023.
    Frequently Asked Questions (FAQs) about Dilution =====================================================

Q: What is dilution?

A: Dilution is the process of reducing the concentration of a solution by adding a solvent, such as water. This can be done to make a solution less concentrated, more suitable for a particular application, or to increase the volume of the solution.

Q: What is the dilution formula?

A: The dilution formula is used to calculate the volume of a diluted solution. It is given by:

V2=V1×C1C2{ V_2 = \frac{V_1 \times C_1}{C_2} }

Where:

  • V2{ V_2 } is the volume of the diluted solution
  • V1{ V_1 } is the initial volume of the concentrated solution
  • C1{ C_1 } is the initial concentration of the concentrated solution
  • C2{ C_2 } is the final concentration of the diluted solution

Q: How do I calculate the volume of a diluted solution?

A: To calculate the volume of a diluted solution, you need to know the initial volume of the concentrated solution, the initial concentration of the concentrated solution, and the final concentration of the diluted solution. You can use the dilution formula to calculate the volume of the diluted solution.

Q: What are some common applications of dilution?

A: Dilution is used in a variety of applications, including:

  • Preparing solutions for laboratory experiments
  • Making solutions for medical use
  • Diluting strong acids or bases to make them safer to handle
  • Increasing the volume of a solution without changing its concentration

Q: What are some common mistakes to avoid when diluting a solution?

A: Some common mistakes to avoid when diluting a solution include:

  • Not using the correct dilution formula
  • Not knowing the initial concentration of the concentrated solution
  • Not knowing the final concentration of the diluted solution
  • Not taking into account the volume of the solvent added

Q: How do I ensure that my dilution is accurate?

A: To ensure that your dilution is accurate, you should:

  • Use a reliable method for measuring the initial volume of the concentrated solution
  • Use a reliable method for measuring the initial concentration of the concentrated solution
  • Use a reliable method for measuring the final concentration of the diluted solution
  • Take into account the volume of the solvent added

Q: Can I dilute a solution to a concentration that is lower than the initial concentration?

A: Yes, you can dilute a solution to a concentration that is lower than the initial concentration. This is known as dilution to a lower concentration.

Q: Can I dilute a solution to a concentration that is higher than the initial concentration?

A: No, you cannot dilute a solution to a concentration that is higher than the initial concentration. This is known as concentration by dilution, and it is not possible to achieve a higher concentration by diluting a solution.

Q: What are some common dilution ratios?

A: Some common dilution ratios include:

  • 1:10 (1 part concentrated solution to 10 parts solvent)
  • 1:100 (1 part concentrated solution to 100 parts solvent)
  • 1:1000 (1 part concentrated solution to 1000 parts solvent)

Q: How do I choose the right dilution ratio for my application?

A: To choose the right dilution ratio for your application, you should consider the following factors:

  • The initial concentration of the concentrated solution
  • The final concentration of the diluted solution
  • The volume of the solvent added
  • The desired outcome of the dilution

Conclusion

In conclusion, dilution is an important concept in chemistry that is used to prepare solutions of specific concentrations. By understanding the dilution formula and common applications of dilution, you can ensure that your dilutions are accurate and effective. Remember to avoid common mistakes and take into account the volume of the solvent added to ensure that your dilution is accurate.

References

  • [1] "Dilution" by Wikipedia. Retrieved February 2023.
  • [2] "Chemical Calculations" by John E. McMurry. Retrieved February 2023.

Additional Resources

  • [1] "Dilution Calculator" by Chemistry LibreTexts. Retrieved February 2023.
  • [2] "Dilution Formula" by Wolfram Alpha. Retrieved February 2023.