Question

a solution has 47.1% transmittance in a cell with a path length of 1cm. if the material responsible for the absorption of light has a molar absorptivity e=67.3(L/mole-cm) at the wavelength used, calculate the concentration of this solution in mole/L

Answer 1

By converting the given transmittance to absorbance and using the Beer-Lambert law, we can calculate the concentration of the solution using molar absorptivity and the path length.

Step-by-step explanation:

To calculate the concentration of the solution using the given transmittance, we first need to convert the transmittance to absorbance. The Beer-Lambert law relates absorbance (A) to the concentration (c) of the solution, the path length (l), and the molar absorptivity (ε) through the equation A = εc*l. Since we know the molar absorptivity and path length, we can find the concentration by rearranging the equation c = A / (εl).

Firstly, we calculate the absorbance from percent transmittance (%T) using the formula A = -log(%T/100). Substituting %T = 47.1, we find A = -log(47.1/100). After calculating the absorbance, we'll use it along with the given molar absorptivity, ε = 67.3 L/mole-cm, and the path length, l = 1 cm, to find the concentration of the solution. With these values, we'll calculate the concentration of the solution using the Beer-Lambert law.