What is the concentration of the dye in a solution witha percent transmittance r

Question

What is the concentration of the dye in a solution witha percent transmittance reading of 40.2% at 640 nm?

Need help answering B and C of the following questions below. I included the chart. Please show work so I can understand this for my exam. Thank you.

5/The 5 The following data wcr colt640 m for a certain following data werc collected at 640 nm for a certain nm for a certain food coloring agent Concentration, mM Absorbance 0.00 1.00 2.00 3.00 4.00 5.00 0.000 0.102 0.143 0.278 0.401 0.451 can wiot the dala using Micrnsot Evcd nd drav a best fit Iin uing th Plot the data using Microsoft Excel and draw a best fit line using the Trendline function. Turn the plot in with your lab. (b) What is the concentration of the dye in a solution with a percent transmitance reading of 40.2% at 640 nm? cent transmittance (e) If the solution in Part B was made by taking 20.00 mL of a stock solution and diluting it to 100.00 mL, what is the concentration of the dye in the stock solution?

Explanation / Answer

b) From Beer Lambert Law we have,

A = 2 - log10 (%T)

%T = 40.2

A = 2 - log10 (40.2) = 0.396

From the plot in part A, y = 0.0939x - 0.0056

0.396 = 0.0939x - 0.0056

Concentration, x = 4.27 mM

c)

Concentration of dye in stock solution = x * 100 / 20 mM

= 4.27 * 100 / 20 = 21.37 mM

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