Question

Assuming Beer-Lambert law is applicable for dilute solutions, if the molar concentration of dye in the solution is doubled then the percentage increase in absorbance would be \(\underline{\hspace{2cm}}\).

Hint:

The Beer-Lambert law states that absorbance is linearly related to the concentration of the absorbing species in the solution.

Answer 1

Correct Answer: 100

According to the Beer-Lambert law, the absorbance \( A \) is directly proportional to the concentration \( c \): \[ A = \epsilon c l, \] where \( \epsilon \) is the molar absorptivity and \( l \) is the path length of the solution. If the concentration of the dye is doubled, then the absorbance will also double. The percentage increase in absorbance is: \[ \text{Percentage Increase} = \frac{(2A - A)}{A} \times 100 = 100 %. \] Thus, the percentage increase in absorbance is 100%.