hard · MCAT chem-phys

A myoglobin solution in a 1.00-cm cuvette has absorbance 0.80 at 410 nm. A researcher dilutes the sample so its concentration is one-quarter of the original, then measures it in a 2.00-cm cuvette.

Assuming Beer's law holds and that the same fraction of stray light (set aside as negligible) applies, what fraction of the incident 410-nm light is transmitted by the diluted sample?

  1. About 79% (the transmittance rises because the path length increase outweighs the dilution)
  2. About 63% (a net absorbance of 0.20, reflecting the quarter-concentration over double the path)
  3. About 40% (a net absorbance of 0.40, since dilution and path length both lower absorbance)
  4. About 6.3% (the diluted absorbance of 0.20 applied to the original transmittance of 16%)

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