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Q.

The radioisotope N-13, which has a half-life of 10 minutes, is used to image organs in the body. If an injected sample has an activity of 40 microcuries $(40 μ Ci)$ , what is its activity after 25 minutes in the body?

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a

$3.5 μ Ci$

b

$12 μ Ci$

c

$0.75 μ Ci$

d

$7.1 μ Ci$

answer is C.

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Detailed Solution

The activity after 25 minutes in the body

$40 \times e^{- \frac{\ln 2}{10} \times 25} = 7.1 μ Ci$

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