The half-life of a radioactive element is 100 days. How much quantity of the 88 g of such element will remain after 3 half-lives:
Correct answer: C. 11g
- A. 8g
- B. 10g
- C. 11g
- D. 44g
Explanation
To find the remaining amount of a radioactive element after a certain number of half-lives, you can use the formula: Remaining Quantity = Initial Quantity × (1/2)^(number of half-lives). Here, the initial quantity is 88g and the number of half-lives is 3. Therefore, Remaining Quantity = 88g × (1/2)^3 = 88g × (1/8) = 11g. Thus, after 3 half-lives, 11g of the element remains.Option A (8g) is incorrect because it suggests an even more significant decay than calculated. Option B (10g) underestimates the remaining amount after 3 half-lives. Option D (44g) incorrectly assumes only one half-life has occurred, which is not the case.
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