How Does Radioactivity Relate to the Number of Atoms in a Graph?

AI Thread Summary
The discussion centers on the relationship between radioactivity and the number of atoms in a sample, specifically how to graph this relationship. The equation A = -λN indicates that activity (A) is proportional to the number of undecayed atoms (N), with a negative sign reflecting the decay process. While some view activity as a positive quantity, the negative sign in the equation represents the rate of decay over time. As the number of undecayed atoms decreases, the activity also decreases, leading to a graph that likely shows an exponential decay curve. Understanding this relationship is crucial for accurately representing radioactivity in graphical form.
ehabmozart
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What would be the shape of an "Activity versus Number of Atoms present" graph look like... We know that A=-λN ... They are propotional but there is a negative sign.. What would be the graph?? Thanks in advance!
 
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Activity is proportional to the number of atoms with a positive constant.
 
ehabmozart said:
We know that A=-λN ... They are propotional but there is a negative sign.

Maybe your book does it differently, but to me, activity is a positive quantity so A = λN. Over time, the number of undecayed atoms decreases at a rate that equals the (negative of the) activity, and this is where the minus sign comes in: dN/dt = -A = -λN.
 
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