What Is the Absorbance of a Diluted Copper Solution?

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SUMMARY

The absorbance of a diluted copper solution can be calculated using the Beer-Lambert Law, which states that absorbance (A) is directly proportional to concentration (c). In this discussion, Solution A has an absorbance of 0.390 with a concentration of 0.0283 M. After diluting 6.57 mL of this solution to 100.0 mL, the concentration of the diluted solution is calculated to be 0.4307 M. However, the calculated absorbance of approximately 5.93607 is incorrect, as it exceeds the expected range for absorbance values, which should typically be less than 1. The correct approach involves using the molar absorptivity (a) from the original solution to determine the new absorbance.

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Solution A, while in a 1.0 cm cell, has an absorbance of 0.390 and a [Cu2+] = 0.0283 M. Then, 6.57 mL of solution A is diluted with pure water to 100.0 mL. What is the absorbance of this diluted solution?

The below is what I did. But I am not sure about the answer. Can you please check it? If there is something wrong, please correct! Thanks a lot!

concentration of dilute solution----6.57ml of 0.0283M = 100.0ml x M
Solve for M----( 100 x 0.0283 ) / 6.57 = 0.4307

Solve for absorbance: 0.390/A = 0.0283/0.4307

==> Absorbance (A) = 5.93607
 
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Do you really believe that when you dilute something with an original absorbance of about 0.4 you get a solution with an absorbance of about 6?

Remember A = abc where a is molar absorptivity, b is path length and c is concentration. You can solve for 'a' using nothing more than what is originally given to you for Solution A. Use it to solve for the new 'c' in the diluted sample. 'a' will be the same for this compound regardless of its concentration.
 

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