Nuclear Chemistry (determing masses from radioactive decay)

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SUMMARY

This discussion focuses on calculating the fraction of threonine recovered from a hydrolyzed protein sample using radioactive decay principles. A 2.80 mg sample of 14C-labeled threonine with an initial activity of 1950 dpm was analyzed, yielding a pure threonine sample with an activity of 550 dpm. The decay constant for the threonine sample was determined to be 1.375E-16, and the mass of the recovered threonine was calculated to be 0.789 grams. The discussion emphasizes the importance of understanding radioactive decay and mass calculations in nuclear chemistry.

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  • Understanding of radioactive decay and decay constants
  • Familiarity with chromatographic separation techniques
  • Knowledge of molar mass calculations
  • Proficiency in using activity measurements in nuclear chemistry
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This discussion is beneficial for chemistry students, nuclear chemists, and researchers involved in protein analysis and radioactive labeling techniques.

Quickman08
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I have been trying for quite some while but I can't seem to get this problem off the ground.1)Suppose that you hydrolyze 4.644 grams of a protein to form a mixture of different amino acids. To this is added a 2.80 mg sample of 14C-labeled threonine (one of the amino acids present).The activity of this small sample is 1950 dpm. A chromatographic separation of the amino acids is carried out, and a small sample of pure threonine is separated. This sample has an activity of 550 dpm. What fraction of the threonine present was separated? What is the total amount of threonine in the sample?

2)
I know that 1950dpm= 8.783E-10Ci and 550dpm=2.477E-10Ci
I am not sure if you need it but the molar mass of Threonine is 119.12 g mol−1
Also A=Lambda(N)
m=(N/Ao)*(MM)
A=radioactive mass units
Lambda=decay constant
N=number of atoms
Ao=avogadro's number
MM=molar mass3.
I have found the decay constant for the small sample of 2.80mg to be 1.375E-16
So if you take the 550dpm sample you can obtain a mass of .789g
Unfortunately once this mass is obtained I cannot figure out where to go from this point.
 
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Don't worry about decay, assume sample activity is constant. It never is, but if half lives are long enough, that's a valid assumption.

You started with 1950 dpm, you have 550 dpm. What part of the radioactive threonine was recovered?
 

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