Respuesta :
I think in the question you should have to find how much Uranium-232 will be left as half life of Uranium- 233 is about 1,60,000 years and will not decay much and the necessary data for that is also not provided in the question!
Uranium-232 has a half life of 68.8 years.
So, it becomes half of its current amount in 68.8years
In another 68.8 years it will become it will become 1/2 of the remaining amount .
So, in 68.8*5 or 344 years it becomes 1/2*1/2*1/2*1/2*1/2 of the present amount.
i.e. (1/2)^5 of the current amount
i.e. 1/32 of current amount.
Our sample here has 100 gm of Uranium-232,
So, it will become 100*1/32 in 344 years.
or it will become 3.125 gm
Ans) 3.125 gm
Hope it helps!!!
Answer:
Amount of U-232 remaining = 87.06 g
Explanation:
Given:
Half life of U-232, t1/2 = 68.8 years
Initial amount of sample of U-232, N0 = 100.0 g
Decay time, t = 344.0 years
Formula:
The radioactive decay equation is given as:
[tex]N(t) = N(0)e^{-0.693t/t1/2}[/tex]
where N(t) = amount of the radioisotope left after time, t
N(0) = initial amount
t1/2 = half life
For U-232:
[tex]N(t) = 100.0e^{-0.693*68.8/344.0}[/tex]
= 87.06 g
