Hi,

  where  k = .00012 (assume this is the k You are using)

 

  

 

  

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
 The half-life of a radioactive element is the amount of time it takes for half of the atoms to decay.  

This means that if we start with 1 gram of an element, after one half-life there will be 0.5 grams left.

Assuming the half-life of Carbon-14 is 5760 years, if we start with 2 grams then

after t=5760 years (one half-life), there will be 1 gram left.

Since with each half-life we lose half of the remaining amount, if t=11520 years this is equal to two half-lives, so there will be 0.5 grams left.

In general, we can write N = N0(1/2)^n where N0  is the initial amount and n is the number of half-lives

N0 = 2 grams in this case

t=23040 years is four half-lives, so the amount remaining is 2(1/2)^4 = 0.125 grams. 

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