The regression line from a plot of absorbance vs. concentration yields: 𝐴 = 2.31[𝐶] + 0.002. If the absorbance of an unknown is measured to be 0.124, what is the concentration of the analyte [𝐶]?
To find the concentration [C] using the regression line equation A = 2.31[C] + 0.002, we need to rearrange the equation to solve for [C].
The given equation: A = 2.31[C] + 0.002
Substitute the known absorbance value (A = 0.124) into the equation:
0.124 = 2.31[C] + 0.002
Now, we can solve for [C]. Let's isolate the term with [C] by subtracting 0.002 from both sides of the equation:
0.124 - 0.002 = 2.31[C] + 0.002 - 0.002
0.122 = 2.31[C]
To further isolate [C], divide both sides of the equation by 2.31:
0.122 / 2.31 = (2.31[C]) / 2.31
0.0529 ≈ [C]
Therefore, the concentration of the analyte [C] is approximately 0.0529.