Q.

The half-life of Tc99 is 6.0 hr. The delivery of a sample of Tc99 from the reactor to the nuclear medicine lab of a certain hospital takes 3.0 hr. What is the minimum amount of  Tc99 that must be shipped in order for the lab to receive 10.0 mg?

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a

20.0 mg 

b

15.0 mg 

c

14.1 mg 

d

12.5 mg

answer is C.

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Detailed Solution

Half life period,

0.693λ=6.0hr

So,

λ=0.693t1/2=0.6396.0

Amount of Tc99 which has to be shifted,

10=a(2)3/6 a=14.1mg

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The half-life of Tc99 is 6.0 hr. The delivery of a sample of Tc99 from the reactor to the nuclear medicine lab of a certain hospital takes 3.0 hr. What is the minimum amount of  Tc99 that must be shipped in order for the lab to receive 10.0 mg?