The half-life of a radioactive isotope Bismuth 210 is 5 days. After 5 days there will be 1/2 of the original atoms present. Can be modelled using the function N(t)=Nlog0e^kt Nlog0 is the original of atoms present, k decay constant and t time expressed in unit days.
Evaluate decay constant k

Question

The half-life of a radioactive isotope Bismuth 210 is 5 days.  After 5 days there will be 1/2 of the original atoms present.  Can be modelled using the function N(t)=Nlog0e^kt  Nlog0 is the original of atoms present, k decay constant and t time expressed in unit days.
Evaluate decay constant k

anonymous · Answer

Can anybody help please?

unklerhaukus · Answer

$$N(t)=N_0e^{-kt}$$
The number of bismuth atoms $N$ is a function of time $t$
The initial amount is when $t=0$; $N(0)=N_0$ 
The decay constant is $k$

unklerhaukus · Answer

To solve the equation for the decay constant:

 °  divide both sides of the equation by $N_0$,

 °  then, take the natural logarithm of both sides,

 °  and finally, divide both sides by $-t$

anonymous · Answer

can anybody help with this please, I don't understand how to calculate this