A lab has 40 kg of radioactive uranium this substance has a half-life of 8 minutes and decays exponentially. How do you find the decay constant k?
Starting with the equation:
Substitute the value of
Divide both aides of the equation by
You use the fact that
We can eliminate the exponential by using the natural logarithm on both sides:
We know that ln(1/2) = -ln(2) and the inverses will disappear on the right:
Flip the equation and divide by