Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

the half-life of uranium-232 is 69 years. If the nuclear byproduct contains uranium-232, it is not considered safe for human contact until 99.2% of it has been decayed. How long will this take

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
mickymike92

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

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.