Question

The decay of a radioactive isotope can be theoretically modeled with the following equation, where C0 is the initial amount of the element at time zero and k is the decay rate of the isotope. Create a proper plot of the decay of isotope A [k = 1.48 hours]. Allow time to vary on the abscissa from 0 to 5 hours with an initial concentration of 10 grams of isotope A.

Answer 1

That problem could answered easyly in Matlab,

We know that $c=c_0e^{\frac{t}{k}}$

So whit this program we can make it,

figure('color','white')

initial=10;

decay_rate=1.48

time=[0:0:1:5];

concen=initial*exp(-time/decay_rate);

plot(time,concen)

grid

title('Decay of the Isotope A')

xlabel('Time (hours'))

ylabel('concentration in grams')