Type 1a Supernova - linking Nickel decay to luminosity

OscarTheDog
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Homework Statement


I have a question in my coursework where I don't know where to start. I've got Nickel decaying post the explosion, I've got a time t, I've got an energy release per nucleus of Nickel, I've got a decay constant, I've got a light curve decay half life, and I've got a luminosity at time t. So how do I link these things togehter?


Homework Equations


What rate must Nickel be decaying at to give the luminosity at time t?


The Attempt at a Solution


Not sure where to start. I have the formulae relating to numbers of nucleons of Nickel at time t=0, and time t, and imagine somehow I need to relate the energy liberated from the decay of each nucleon to the overall luminosity, but I've really tied myself in knots as to where to start
 
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Well, you might start by asking yourself, "What is luminosity?" What are its units?
 
So really that simple, how many nucleons of Nickel are burning up in MeV or J per second in order to give the luminosity? I didn't think it could be that simple, but now I've written it down with your prompt on units...
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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