Question #48955

Compound X exhibits molar extinction coefficient of 245 m2mol at 450 nm. What concentration of X in a solution will cause a 25% decrease in the intensity of 450 nin radiation when the solution is placed in a 0.01 m absorption cell ?

Expert's answer

Question #48955, Chemistry, Inorganic Chemistry

Question:

Compound X exhibits molar extinction coefficient of 245 m²mol at 450 nm. What concentration of X in a solution will cause a 25% decrease in the intensity of 450 nm radiation when the solution is placed in a 0.01 m absorption cell?

Answer:

The Beer-Lambert Law states:

A = εCl, where A = - ln(I/I₀). We have that I/I₀ = 0.75, therefore:


ln(0.75)=245×C×0.01C=0.12mol/m3- \ln (0.75) = 245 \times C \times 0.01 \Rightarrow C = 0.12 \text{mol} / \text{m}^3


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