A sample contains 36 g of a radioactive isotope. How much radioactive isotope remains in the sample after 3 half-lives?
2 answers:
Answer:
4.5g
Explanation:
No = 36g Let half life is T
T= 3 T n number of half lives = t/T=3
N/No= (1/2)^n
Where, No be the initial amount
N be the amount left
n be the number of half lives
N/36 = (1/2)^3
N/36 = 1/8
N = 36/8 = 4.5g
Answer:
<u>Option "C":</u> "4.5 g"
Explanation:
N0 = 36 g, Let half-life is T.
t = 3 T, n is number of half lives = t / T = 3
<u>By using the decay law of radioactivity</u>
N / N0 = (1 / 2)^n
where
"N0" be the "initial amount"
"N" be the "amount left"
"n" be the "number of half-lives"
N / 36 = (1/2)^3
N / 36 = 1 / 8
N = 36 / 8 = 4.5 g
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