Answer :
Final answer:
The half-life is the time required for half of a radioactive substance to decay. Given that the half-life of Radon-222 is 3.8 days, half of its initial mass would remain after 1.9 days, which calculates to about 75.0g from an initial mass of 100.0g.
Explanation:
This question involves understanding the concept of half-life, which is inherent to the field of nuclear physics. The half-life of a radioactive substance is the time required for half of its atoms to decay. Given that the half-life of Radon-222 to Lead-214 is 3.8 days, after one half-life period, half of the original substance would remain, reducing the initial mass of 100.0g to 50.0g.
However, the question asks how much Radon-222 would remain after 1.9 days, which is half of its half-life. Therefore, at this point, ½ of the half-life would have passed, and the substance would have decayed only halfway towards 50.0g. Thus, about 75.0g of Radon-222 would remain (halfway between 100.0g and 50.0g). Therefore, the correct answer is c) 75.0g.
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