Successive dilution problems

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In summary, the conversation discussed the successive dilutions applied to a stock solution of 5.60 M sucrose, resulting in Solution C with a final concentration of 0.157 M. The calculation for the final concentration was determined using the equation C(final) = C(initial)*(V(1)/V(2))*(V(3)/V(4)) * (V(5)/V(6)).
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Benzoate
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Homework Statement


The following successive dilutions are applied to a stock solution that is 5.60 M sucrose

* Solution A = 46.0 mL of the stock sollution is diluted to 116 mL
* Solution B = 58.0 mL of Solution A is diluted to 248 mL
* Solution C = 87.0 mL of Solution B is diluted to 287 mL

What is the concentration of sucrose in solution C?
C(final)=C(initial)*(V(1)/V(2))*(V(3)/V(4)) * (V(5)/V(6))


Homework Equations


C(final)=C(initial)*(V(1)/V(2))*(V(3)/V(4)) * (V(5)/V(6))



The Attempt at a Solution



C(final) = (5.60 M)*(46 mL/116 mL)*(58 mL/248 mL)*(87 mL/287 mL)
C(final)= .157 M

Is that how I would calculate the final concentration?
 
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  • #2
Looks good.
 

1. What is a successive dilution problem?

A successive dilution problem is a type of mathematical problem that involves diluting a solution multiple times to achieve a desired concentration. It is commonly encountered in scientific experiments and is used to determine the final concentration of a solution after multiple dilutions.

2. How do you solve a successive dilution problem?

To solve a successive dilution problem, you need to know the initial concentration of the solution, the volume of the solution being diluted, and the dilution factor for each dilution. You can then use the formula C1V1 = C2V2, where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume, to calculate the final concentration after each dilution. Repeat this process for each dilution to determine the final concentration of the solution.

3. What is a dilution factor?

A dilution factor is the ratio between the initial volume of the solution and the final volume of the diluted solution. For example, if you add 1 mL of a solution to 9 mL of water, the dilution factor would be 1:10, meaning the solution is diluted 10 times.

4. What are some common mistakes when solving successive dilution problems?

Some common mistakes when solving successive dilution problems include forgetting to account for the volume of the solution being added during each dilution, using the wrong dilution factor, and not converting units correctly. It is important to double check all calculations and make sure units are consistent throughout the problem.

5. What are some real-world applications of successive dilution problems?

Successive dilution problems are commonly used in the fields of chemistry, biology, and medicine. They are used to prepare solutions of specific concentrations for experiments, as well as in medical procedures such as blood transfusions and medication administration. They are also used in industrial settings for quality control and in environmental testing to determine the concentration of pollutants in water or air.

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