Answer :
The absorbance of the solution is calculated using the Beer-Lambert Law. If the intensity of the transmitted light is 70% of the initial light beam intensity, the absorbance would be 0.155. Failing to zero the absorbance with the blank in an aspirin experiment would result in an inaccurately high absorbance.
a) The absorption of a solution can be determined using the Beer-Lambert Law, which states that the absorption is equal to the molar extinction coefficient times the concentration of the solution times the path length. In this case, the absorbance (A) would be εlc where ε is the molar extinction coefficient, l is the path length or depth of the cell, and c is the concentration of the solution. So,
A = 35.9 L/(mol cm) * 0.0278 mol/ L * 0.5 cm
= 0.5.
b) The %T is calculated as the ratio of the transmitted light intensity to the initial light intensity. In this case, %T = (Transmitted light intensity / Initial light intensity) * 100. Note that %T and absorbance are related by
A = -log(%T/100).
c) If the transmitted light intensity is 70% of the initial light intensity, then the absorbance would be
A = -log(70/100)
= 0.155.
d) In the aspirin experiment, if you forget to zero the absorbance with the blank, then the unknown absorbance would be inaccurately high. This is because the blank is used to account for the absorbance due to the solvent and container, which should be subtracted from total absorbance to get the absorbance due to the solute only.
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