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Sagot :
After 69 years, 50% of the element has decayed
After 1 year, then,
x = 0.5/69 = 0.00724
0.724% of uranium-239 has been decayed.
To find how long it will take for 99.2% of the element to decay, we can use a similar method:
x years/0.992 = 69 years/0.5
x = 136.896 years
Therefore, it will take 136.896 years for 99.2% of the nuclear byproduct to have decayed.
Let me know if you have any questions
After 1 year, then,
x = 0.5/69 = 0.00724
0.724% of uranium-239 has been decayed.
To find how long it will take for 99.2% of the element to decay, we can use a similar method:
x years/0.992 = 69 years/0.5
x = 136.896 years
Therefore, it will take 136.896 years for 99.2% of the nuclear byproduct to have decayed.
Let me know if you have any questions
It will take approximately 480 years for 99.2% of uranium-232 to decay.
The formula of radioactive half-life = [tex]\frac{N}{N₀} = (\frac{1}{2})^{n}[/tex]
Where N = amount of isotope remaining
N₀ = original amount of isotope
n = number of half-lives
From the given values:
N = 100 5 - 99.2%
N = 0.8 % = 0.008
N₀ = 100% = 1
Substituting to find n
0.008/1 = (1/2)ⁿ
㏒₁₎₂0.008 = n
n = ㏒0.008/㏒(1/2)
n = 6.96
Therefore, number of half-lives n = 6.96
One half-life = 69 years
6.96 half-lives = 6.96 * 69 = 480.24 years
Therefore, it will take approximately 480 years for 99.2% of uranium-232 to decay.
learn more at: https://brainly.com/question/17070257
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