An unknown was prepared with the concentration of 0.000520 M. A Beer's Law plot was prepared using the absorbance values from standard solutions of ASA and a line drawn through all the points passed through the origin with a slope of 1550.2 M–1. The expected absorbance and %T values for the diluted aspirin solutionprepared by the student is ?
If you plot A vs c, and remember the slope, it will be A/c but you know A=ebc. Since slope = A/c, that means the slope is e*b (where e = epsilon = molar absorptivity, sometimes called molar extinction coefficient). Thus, substitute c (0.000520M) and 1550.2 for e*b and calculate A which gives you the expected absorbance. Then A = log 1/T for T, multiply by 100 for %T.
To find the expected absorbance and %T values for the diluted aspirin solution, we can use Beer's Law equation:
A = εcl
Where:
A = Absorbance
ε = Molar absorptivity (also known as molar extinction coefficient)
c = Concentration (in Molarity)
l = Path length (in cm)
Given information:
Concentration of unknown solution (c) = 0.000520 M
Slope of the Beer's Law plot (ε) = 1550.2 M–1
Since we know the absorbance values of the standard solutions, we can assume that the path length (l) is constant for all measurements.
Now, we can calculate the expected absorbance:
A = εcl
A = (1550.2 M–1) * (0.000520 M) * l
To find the %T values, we need to convert the absorbance values to %T using the following equation:
%T = 100 * 10^(-A)
Substituting the calculated absorbance value into the equation above will give us the %T value.
Please note that we need additional information about the path length (l) in order to calculate the exact absorbance and %T values.