Hi guys, I am doing A-levels and I came across two question I need help with.
We are told the exponential equation is P= ab^t
P=Quantity
a= initial value
b=constant indicating how fast the quantity is growing
t=time
I know all but one value for the equation P= ab^-t, which is a. How Do I know the initial value of this substance?Question 1)
A radioactive substance decays at rate of 12% per hour
a)Find after how many hours half of the radioactive material will be left.
b) How many hours did it have twice the current amount of radioactive material?
I have no idea how to do this one.Question 2)
A dangerous radioactive substance has a half life of 90 years. It will be deemed safe when its activity is down to 0.005 of it's initial value. How long before it's deemed safe?
Thanks in advance.
The activity of a substance is the number of decays per second. This will be proportional to the amount of the substance you have, so you again have the same equation:Question 2)
A dangerous radioactive substance has a half life of 90 years. It will be deemed safe when its activity is down to 0.005 of it's initial value. How long before it's deemed safe?
that you can use.
In this case you will have .
-Dan