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Absorbance is related to transmittance by

  • A.\( A = 1 - T \)
  • B.\( A = T^2 \)
  • C.\( A = \log(1/T) \)
  • D.\( A = \log T \)

Answer: C

Correct answer: \( A = \log(1/T) \)

Transmittance is the fraction of light getting through, and absorbance is defined as

\[ A = \log\frac{I_0}{I} = \log\frac{1}{T} = -\log T \]

The logarithm is what makes absorbance, rather than transmittance, linear in concentration. Ten per cent transmittance gives an absorbance of 1, one per cent gives 2, and complete transmission gives zero.

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