In: Chemistry
Use the following information and the Beer-Lambert law to determine the mass of the lycopene extracted and the mass of lycopene per 100 grams of tomato paste.
2mL of lycopene was extracted from 8 grams of tomato pase. This was then diluted to 5mL. 1ml of the diluted solution was withdrawn and then further diluted to 9mL. The UV-vis absorbance at 502nm was determined to be 0.162. The cell path was 1cm.
The general Beer-Lambert law is usually written as: A = a( ) * b * c. where A is the measured absorbance, a( ) is a wavelength-dependent absorptivity coefficient, b is the path length, and c is the analyte concentration.
here putting values 0.162 = 502*10^-9*1*10^-2*c
because here A = .162 (given)
a = 502 nm =502*10^-9
b = 1 cm = 10^-2 m
Fromwhere , after calculations c = 3.23^10^7
This result has come from dilution 2 ml to 5ml then 1 ml to 9 mlthat is diluting 5/2*9/1 =45/2 times
so originally c* 2/45 times lycopene was present = 3.23*10^7 *2/45 = 1.435*10^3 in 8 grams
= 1.435* 10^3 * 100/8 = 17.9375 ml from where mass of lycopene can be calculated
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