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Q.

The half life of Pa-218 is 3 minutes. What mass of a 16g sample of Pa-218 will remain after 15 minutes.

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a

0.5g

b

3.2g

c

2.0g

d

1.6g

answer is D.

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Detailed Solution

$\frac{m}{m_{0}} = \frac{1}{2^{n}}; n = \frac{t}{T} = \frac{15}{3} = 5;$

$\Rightarrow m = \frac{16}{2^{5}} = \frac{16}{32} = 0.5 gm$

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