For the 1.0 gram sample of the same radionuclide, the required half life will be of 7.5 hours.
Given data:
The amount of sample at initial is, a = 2.0 g.
The half-life for 2.0 g sample is, [tex]t_{1/2}=15 \;\rm hr[/tex].
In the given problem, it is a simple calculation but the concept of half life is used . The half life is defined as the a time interval required for one-half of nucleus of sample to undergo complete decay.
In the given problem,
2.0 g of sample = 15 hours
1.0 g of sample = 15/2 hours
= 7.5 hours
Thus, we can conclude that for the 1.0 gram sample of the same radionuclide, the required half life will be of 7.5 hours.
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