Analytical chemistry practice — Why is absorbance (A) generally preferred over percent transmittance (%T) as the measure of absorption in quantitative spectrophotometry?
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ABecause %T cannot be measured as accurately as absorbance
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BBecause %T depends on the power of the incident radiation
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CBecause absorbance is proportional to analyte concentration whereas %T is not
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DNone of the above
Answer
Correct Answer: Because absorbance is proportional to analyte concentration whereas %T is not
Explanation
Introduction / Context:In UV-Vis spectroscopy, one can report data as percent transmittance (%T) or as absorbance (A). For quantitative analysis via Beer–Lambert law, absorbance is the preferred metric because it relates linearly to concentration.
Given Data / Assumptions:
- Beer–Lambert law: A = ε b c.
- %T = 100 × (I / I0), and A = −log10(T) where T = I / I0.
- Calibration methods require linear relationships for straightforward regression.
Concept / Approach:Absorbance is directly proportional to concentration at constant path length and wavelength because ε is constant for a given analyte. %T is logarithmically related to concentration; equal concentration changes do not produce equal %T changes, complicating calibration and error analysis. Therefore, using A simplifies quantitation and statistical treatment.
Step-by-Step Solution:
Start with T = I / I0 and A = −log10 T.Apply Beer–Lambert: A = ε b c → linear in c.Recognize %T varies nonlinearly with c (exponential dependence).Conclude that absorbance is preferred for linear calibration.Verification / Alternative check:Typical calibration plots of A vs. c yield straight lines with slopes ε b; plots of %T vs. c are curved.
Why Other Options Are Wrong:
- %T can be measured accurately; accuracy is not the core issue.
- Dependence on incident power cancels when T = I / I0 is used properly; modern instruments compensate.
- “None” is incorrect because there is a clear quantitative reason to prefer A.
Common Pitfalls:Confusing precision with linearity; the critical advantage of absorbance is proportionality to concentration.
Final Answer:Because absorbance is proportional to analyte concentration whereas %T is not