if a vial of generator eluate contains 247 of Tc-99m and 27 uCi of Mo-99, what is the moly concentration?
The activity of Tc-99 is 247 Ci = 247*10-6 * 3.7*1010 =9139000 Bq
and the activity of Mo-99 is 27Ci .= 999000 Bq
The activity is given by
Where is the rate of radioactive decay given by
(half life)
For Tc-99, half life is 6 hrs = 21600 s
For Mo- 99 , half life is 66 hrs = 237600 s
N = A*t1/2/0.693
NTc = 9139000*21600/0.693 = 2.8485*1011 atoms
NMo = 999000*237600/0.693 = 3.425*1011 atoms
So, mole fraction = moles of Mo/Total moles = NMo /(NMo +NTc ) = 3.425/(3.425+2.8485) = 0.5459
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