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The half-life of Fr is 2.6 minutes. Here's why:
Understanding Half-Life: The half-life of a radioactive substance is the time it takes for half of the original amount to decay.
Calculations:
In the given scenario, the sample decays from 1.000 g to 0.250 g, which means it has gone through two half-lives (1.000 g → 0.500 g → 0.250 g).
Since this decay took 5.2 minutes, one half-life is 5.2 minutes / 2 = 2.6 minutes.