SOLUTION: A radioactive element sodium-24 has a half-life of 14 hours and is used to help locate obstructions in blood flow. A procedure requires 1.5 grams and is scheduled to take place in
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Question 110978: A radioactive element sodium-24 has a half-life of 14 hours and is used to help locate obstructions in blood flow. A procedure requires 1.5 grams and is scheduled to take place in 37 hours.
At what rate is the sodium-24 decaying?
What is the minimum amount of sodium-24 that must be on hand now?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A radioactive element sodium-24 has a half-life of 14 hours and is used to help locate obstructions in blood flow. A procedure requires 1.5 grams and is scheduled to take place in 37 hours.
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EQUATION:
A(t) = Ao(1/2)^(t/14)
1.5 = Ao(1/2)^(37/14)
Ao = 1.5 / [(1/2)^(37/14)]
Ao = 1.5 / 0.16011...
Ao = 9.369 grams
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At what rate is the sodium-24 decaying?
[9.369-1.5]/37 = 0.21266 grams per hour
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What is the minimum amount of sodium-24 that must be on hand now?
9.369 grams
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Cheers,
Stan H.
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