18.
The half-life of radon is 3.8 days. Calculate the amount of radon left undecayed in a sample containing 1024 mg of radon after 38 days.
Half life period, T = 3.8 days
Total time, t = 38 days
Initial amount, N0 = 1024 mg
Amount left undecayed = N
Therefore,
![space space space space space space space straight N over straight N subscript straight o space equals space open parentheses 1 half close parentheses to the power of n space equals open parentheses space 1 half close parentheses to the power of t divided by T end exponent
rightwards double arrow N over 1024 space equals space space open parentheses 1 half close parentheses to the power of begin inline style bevelled fraction numerator 38 over denominator 3.8 end fraction end style end exponent
rightwards double arrow space space straight N space equals space left parenthesis 1024 right parenthesis space straight x space 1 over 2 to the power of 10
rightwards double arrow space straight N space equals space 1 space mg](/application/zrc/images/qvar/IPHEN12114711.png)
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