can someone explain these calculations to me?

Curren'S Math For Meds: Dosages & Sol
11th Edition
ISBN:9781305143531
Author:CURREN
Publisher:CURREN
Chapter10: Reconstitution Of Powdered Drugs
Section: Chapter Questions
Problem 42SST
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can someone explain these calculations to me?

Protein concentration µg/ml
Blank (0)
4
8
12
16
20
1:50 dilution unknown
OD 595
0.05
Slope 0.0021
y = 0.0021x + 0.0002
x = 16.57 µg in 10 μl of 1:50 dilution of sample
Unknown concentration in µg/ml:
16.57 µg/10 μl x 100 = 1,657 µg/1ml of a 1:50 dilution of original sample
1,657 µg/ml x 50 = 82,857 µg/ml in original sample
final concentration = 82.9 mg/ml of protein
0.04-
0.03-
0.02-
0.01-
0.00
0
OD 595
0.002
0.008
5
0.017
0.023
10
15
Protein (ug/ml)
0.033
0.045
0.035
BioRad Protein Standard Curve
20
25
Transcribed Image Text:Protein concentration µg/ml Blank (0) 4 8 12 16 20 1:50 dilution unknown OD 595 0.05 Slope 0.0021 y = 0.0021x + 0.0002 x = 16.57 µg in 10 μl of 1:50 dilution of sample Unknown concentration in µg/ml: 16.57 µg/10 μl x 100 = 1,657 µg/1ml of a 1:50 dilution of original sample 1,657 µg/ml x 50 = 82,857 µg/ml in original sample final concentration = 82.9 mg/ml of protein 0.04- 0.03- 0.02- 0.01- 0.00 0 OD 595 0.002 0.008 5 0.017 0.023 10 15 Protein (ug/ml) 0.033 0.045 0.035 BioRad Protein Standard Curve 20 25
Expert Solution
Step 1

At first, a standard curve is made using the OD of protein of known concentrations, i.e., ODs mentioned for blank to 20ug/ml protein concentration and a linear trend line is obtained with the equation mentioned in step 2.  This equation is compared with the straight line equation "Y=mX+c" where Y is the OD, X is protein concentration, m is the tangent/slope of the line and c is the intercept. We can calculate unknown X (concentration) using this equation if we have the Y(OD) value by modifying the formula to X="(Y-c)/m". 

Now we have a protein solution of unknown concentration that has been diluted 50 times and 10ul of the diluted sample has been used to obtain OD. Using the trendline equation mentioned earlier, the protein content of the 10ul diluted sample is calculated to be  16.57.

Further, the protein content for 1 ml solution is calculated by multiplying with 100 and the concentration of diluted sample expressed in ug/ml.

Since the original sample was diluted 50 times in the first place, the concentration is multiplied again by 50 and the original concentration of the protein sample is obtained. 

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