Given this calibration curve that is made by correlating the concentration of a

Question

Given this calibration curve that is made by correlating the concentration of a light-absorbing molecule in a solution and the amount of light it absorbs. (Note that absorbance is a relative term, so it is unitless - you will learn a lot more about this in lab very soon.) The given equation is for the best-fit line, and it is a quantitative correlation between the two variables. a) What is the slope of the line? What is the y-intercept? Don't forget to include the units of each. b) Following this trend, what would the concentration of the light-absorbing molecule be in a solution that has a measured absorbance of 0.539?

Explanation / Answer

a)

The above equation represents straight line equation

y = 0.0056 x - 0.0076

The slope, m, of the line according to the formula m = (y1- y2)/(x - x2).

m = 0.0056 absorbance/ µM.

y Intercept = -0.0076 aborbance

b)

Unknown solution exhibited an absorbance of 0.539.

using the equation of slope

x2= 100, y2 =0.552

x1= unknown, y1= 0.539

0.0056 = (0.552 - 0.539)/(100 - x1)

(100 - x1) = 0.013/0.0056

(100 - x1) = 2.3

x1 = 100-2.3 = 97.7 µM

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