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Name: Lab 10 Postlab Questions What color is the 1. The absorbance spectrum of a

ID: 560186 • Letter: N

Question

Name: Lab 10 Postlab Questions What color is the 1. The absorbance spectrum of an unknown solution is shown below. solution? 1.2 630 m 0.8 0.6 0.4 0.2 400 600 800 Wavelength (nm) Astudent was using spectroscopy to find the concentration of a solution of compound X. She first made a series of known dilutions, measured their absorbances, and made the Beer's Law plot shown below. (Recall that displaying an number in the form 5.0E-06 is computer talk for scientific notation, so we would write this number as 5.0 x 106) 2. Beers Law Plot of Cmpd X 14 1.2 +0.0209 08 a 0.6 0.4 0.2 R 0.9974 .0E+00 5E-06 LOE-05 1 SE-05 2 OE-05 2.5E-05 X] (M) She then measured the absorbance of her unknown solution to be 0.878. a) What is the extinction coefficient of compound x? b) What is the concentration of her unknown solution?

Explanation / Answer

1) The solution shows a maximum absorbance at 630 nm; we need to refer to a chart which displays the color of a substance against the wavelength of absorption (easily available in labs). A substance absorbs maximum at 630 nm when it is yellow in color; hence, the solution is yellow.

2a) The student obtained the linear regression equation as y = 63629x + 0.0209 where y is the absorbance of the solution and x is the concentration of the solution. x has unit M; however, y is dimensionless. In order to make y dimensionless, we must have unit M-1 with the slope. The slope of the plot is gives the product of the extinction co-efficient and the path length of the solution, i.e,

63629 M-1 = *l where l = 1.00 cm is usually taken as the path length of the solution and is the extinction co-efficient; therefore,

= (63629 M-1)/(1.00 cm) = 63629 M-1cm-1 (ans).

b) The unknown solution shows an absorbance 0.878; put y = 0.878 and obtain

0.878 = (63629 M-1)*x + 0.0209

====> (63629 M-1)*x = 0.8571

====> x = 0.8571/(63629 M-1) = 1.34702*10-5 M 1.35*10-5 M

The concentration of the unknown solution is 1.35*10-5 M (ans).

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