Diablo Canyon stores 95% of its spent nuclear fuel onsite. ii) How many metric tons of Pu-240 in the spent fuel will still be onsite in that year?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.10P
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Assume the following:

●In a light water reactor, approximately 1.0kg of spent nuclear fuel is produced for every50. megawatt-days (MWd) of thermal energy input.

●For the purposes of this analysis, assume the spent nuclear fuel produced is 1.8% Pu-240by mass. Pu-240 has a half-life of 6,430 years.

●The thermal efficiency of the power plant is 38%

●Use equation for radioactive decay: ​Q​t​= Q​0​^e​-kt​ where:

○Q​t​ = quantity of radioactive material at time t

○Q​0 ​= original quantity of radioactive material

○k = the decay constant

○t = time interval in years

○The decay constant k is defined by the relation: Half life = ln(2)/k

 

Diablo Canyon stores 95% of its spent nuclear fuel onsite.

ii) How many metric tons of Pu-240 in the spent fuel will still be onsite in that year?

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