Question on: JAMB Chemistry - 2024
How much of 5g of a radioactive element whose half-life is 50 days remains after 200 days?
A
2.50 g
B
1.25 g
C
0.63 g
D
0.31 g
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Correct Option: D
To solve this problem:
- Understand half-life: The half-life is the time it takes for half the substance to decay.
- Calculate number of half-lives: 200 days ÷ 50 days/half-life = 4 half-lives.
- Calculate remaining amount: After each half-life, the amount halves:
After 1 half-life: 5 ÷ 2 = 2.5 g
After 2 half-lives: 2.5 ÷ 2 = 1.25 g
After 3 half-lives: 1.25 ÷ 2 = 0.625 g
After 4 half-lives: 0.625 ÷ 2 = 0.3125 g ≈ 0.31 g
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