Question

The percentage of light that would pass through a sample with an absorbance of 2 would be ________%. (Round off to the nearest integer)

Hint:

Absorbance and transmittance are related by a logarithmic equation. A higher absorbance corresponds to a lower percentage of transmitted light.

Answer 1

Step 1: Understand the relationship between absorbance and transmittance. 
The relationship between absorbance (\(A\)) and transmittance (\(T\)) is given by the equation: \[ A = -\log_{10} T. \] This can be rearranged to solve for \(T\): \[ T = 10^{-A}. \] Step 2: Calculate the transmittance. Given \(A = 2\), substitute into the equation: \[ T = 10^{-2} = 0.01. \] Step 3: Convert transmittance to percentage. The percentage of light passing through the sample is: \[ T_{{percent}} = 0.01 \times 100 = 1%. \] Thus, the percentage of light passing through the sample is \( \boxed{1} \)%.