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Q.

The half-life of tritium is 12.3 yrs. If 48.0 mg of tritium is released from a nuclear power plant during the course of an accident, calculate the mass (in mg) of the nuclide that will remain after 5.0 yrs.

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a

16

b

36.2

c

24

d

32

answer is A.

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Detailed Solution

Given,

Half-life of tritium =12.3 yrs.

48.0 mg of tritium is released from a nuclear power plant.

The mass of the nuclide that will remain after 5.0 yrs,

$\begin{array}{l} A = 48 e^{- \frac{0.693}{12.3} \times 5} \\ = 48 e^{- 0.281} \\ = 48 \times 0.755 \\ = 36.2 mg \end{array}$

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The half-life of tritium is 12.3 yrs. If 48.0 mg of tritium is released from a nuclear power plant during the course of an accident, calculate the mass (in mg) of the nuclide that will remain after 5.0 yrs.