Nuclear physics problem (Chernobyl)

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Homework Help Overview

The discussion revolves around a nuclear physics problem related to the Chernobyl disaster, specifically focusing on the activity of isotopes I(131) and I(133) measured in the air. Participants are tasked with calculating the time of the reactor explosion based on the activity levels and the relative production amounts of these isotopes from U(236) fission.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between the activity of the isotopes and their decay constants, suggesting that the activity ratio can be expressed as a function of time since the accident. Questions arise regarding the implications of having the half-life for I(131) but not for I(133).

Discussion Status

The discussion is ongoing, with some participants providing guidance on how to approach the problem without giving complete solutions. There is an emphasis on exploring the relationships between the isotopes' activities and their yields, while also addressing the constraints of the information provided.

Contextual Notes

Participants note that this is a homework problem from a Nuclear and Particle Physics course, and there is an expectation of independent effort without complete solutions being provided.

grodin22
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Hi

I have a problem that i do not know how to solve.

Activities from the fission products I(131) and I(133) were measured in the air of a city
28/4-1986 at 17:00. The result was 0,12 Bq/m3 and 0,39Bq/m3 for I(131) and I(133), respectively. These isotopes came from the chernobyl nuclear reactor disaster.
Use this information to calculate when the reactor container exploded. The relative amount
of I(131) and I(133) produced in the fission of U(236) is 2,892 and 6,686 percent, respectively.

I would appreciate it very much if someone could solve this problem.
 
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Activity of a substance is equal to the product of the decay constant and atoms present, i.e. A\,=\,\lambda\,N.

At the time of release the activity ratio of I-131:I-133 has a value related to their yields from the same mass of U-236. So A(131)/A(133) is proportional to 2,892/6,686.

Simply write the Activity Ratio as a function of time from the accident and solve for the time.
 
halflife

how do you solve it if the halflife for I(131) is given but Halflife for I(133) is unknown?
 
but you have the activity and the relative amount of I131 and I133 that was produced in the reactor.

Try at last, we are not supposed to give full solutions or answers, we only kick people in the correct direction.

This is a home work problem in the Nuclear and particle physics course @ uppsala university .. I hope for your own sake that you don't are asking us to do your hand in examinations.
 

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