4.3 Applications of spectroscopy for biological solutions One of the most widely

Question

4.3 Applications of spectroscopy for biological solutions One of the most widely used applications of spectroscopy is for the quantitative determination of the concentration of biological molecules in solution. The absorbance of a soluton, A, at wavelength i, is given by the sum of the product of a(k), the extinction coefficient/length of all components k(from to N) obtained at the same wavelength and the concentrations of the components of the solution, C(k) (Tinoco et al., 2002) kml Consider a hypothetic experiment when a protein solution with four amino acids, M N, O, and P, was measured using four different wavelengths, and the absorbance values were recorded. The extinction coefficients for the four amino acids for the four wavelengths are tabulated below. Estimate the concentration of the four amino acids in M. Compare your answers and the efficiency of solution using the Gauss Jordan method and the iterative Jacobi method -1 Wavelength 240 250 260 280 11300 5000 1900 1500 8150 7500 3900 1400 4500 3650 3000 2000 4000 4200 4800 4850 0.6320 0.5345 0.3310 0.1960

Explanation / Answer

yes, your approach is correct

As the absorbanse is the product of sum of the extinction coefficient and conentration at all the values of N, and you are given with the four differnt values of N

thinking from different way, you are given with the four values of A and four values of N to form $ variable equation and to solve that.

so for the first one,

11300C1+8150C2+4500C3+4000C4=.6320

for second one,

5000C1+7500C2+2650C3+4800C4=.5345

for third one

1900C1+3900C2+3000C3+4800C4=.3310

for the last one

1500C1+1400C2+2000C3+4850C4=.1960

now you have four variables and four equation, you can solve for all the C

Best of luck

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