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The half-life of gold-198 is approximately 2.7 days.

The decay constant k, is 0.693/(half-life in days) or 0.2567 d-1 to use in the radio active decay equation:

log10(Xo/X) = k*t/2.30, where Xo is the amount initially & X is the amount after time, t. So substitute & solve for t:

log (100/6.25) = (0.2567*t)/2.30

t = 10.8 days

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Q: How long does it take a 100 g sample of au-1 98 to decay to 6.25?
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