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One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]
Correct answer is '0.025'. Can you explain this answer?
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One solution has absorbance of 0.50D, when path length of the cuvette ...
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One solution has absorbance of 0.50D, when path length of the cuvette ...
Given:
- Absorbance of the solution (initial) = 0.50D
- Path length of the cuvette (initial) = 1 cm
- Dilution factor = 10
- Path length of the cuvette (final) = 0.5 cm
To find:
- Absorbance of the solution after dilution
Solution:
Step 1: Calculating the concentration of the initial solution
- The Beer-Lambert law states that absorbance (A) is directly proportional to the concentration (C) and the path length (l) of the cuvette.
- Mathematically, A = εcl, where ε is the molar absorptivity (a constant for a given substance).
- Rearranging the equation, we get C = A / (εl).
- Given that A = 0.50D and l = 1 cm, we can substitute these values into the equation to find the concentration of the initial solution.
Step 2: Calculating the concentration of the diluted solution
- Since the solution is diluted 10 times, the concentration of the diluted solution will be 1/10th of the initial concentration.
- Therefore, the concentration of the diluted solution = (1/10) * concentration of the initial solution.
Step 3: Calculating the absorbance of the diluted solution
- Using the Beer-Lambert law, we can calculate the absorbance of the diluted solution.
- Given that the concentration of the diluted solution and the path length of the cuvette are different from the initial solution, we need to find the new absorbance.
- Since the absorbance is directly proportional to the concentration and the path length, we can use the equation A = εcl.
- Substituting the values of concentration and path length for the diluted solution, we can calculate the absorbance.
Step 4: Calculating the absorbance of the diluted solution (final)
- Given that the path length of the cuvette for the diluted solution is 0.5 cm, we can substitute this value into the equation obtained in Step 3 to find the final absorbance.
Final answer:
- The absorbance of the solution after dilution, when a 0.5 cm cuvette is used, is 0.025 (up to two decimal places).
- Absorbance of the solution (initial) = 0.50D
- Path length of the cuvette (initial) = 1 cm
- Dilution factor = 10
- Path length of the cuvette (final) = 0.5 cm
To find:
- Absorbance of the solution after dilution
Solution:
Step 1: Calculating the concentration of the initial solution
- The Beer-Lambert law states that absorbance (A) is directly proportional to the concentration (C) and the path length (l) of the cuvette.
- Mathematically, A = εcl, where ε is the molar absorptivity (a constant for a given substance).
- Rearranging the equation, we get C = A / (εl).
- Given that A = 0.50D and l = 1 cm, we can substitute these values into the equation to find the concentration of the initial solution.
Step 2: Calculating the concentration of the diluted solution
- Since the solution is diluted 10 times, the concentration of the diluted solution will be 1/10th of the initial concentration.
- Therefore, the concentration of the diluted solution = (1/10) * concentration of the initial solution.
Step 3: Calculating the absorbance of the diluted solution
- Using the Beer-Lambert law, we can calculate the absorbance of the diluted solution.
- Given that the concentration of the diluted solution and the path length of the cuvette are different from the initial solution, we need to find the new absorbance.
- Since the absorbance is directly proportional to the concentration and the path length, we can use the equation A = εcl.
- Substituting the values of concentration and path length for the diluted solution, we can calculate the absorbance.
Step 4: Calculating the absorbance of the diluted solution (final)
- Given that the path length of the cuvette for the diluted solution is 0.5 cm, we can substitute this value into the equation obtained in Step 3 to find the final absorbance.
Final answer:
- The absorbance of the solution after dilution, when a 0.5 cm cuvette is used, is 0.025 (up to two decimal places).
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One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer?
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One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer?.
One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One solution has absorbance of 0.50D, when path length of the cuvette is 1 cm. If this solution is diluted 10 times and 0.5 cm cuvette is used, the absorbance will be _______[Answer upto two decimal places]Correct answer is '0.025'. Can you explain this answer?.
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