Question 1102181
<br>
If you pay attention to the real problem, instead of just plugging numbers into equations, you have to know that your answer is not right.  If the half life is 1.3 billion years, only a very tiny amount will decay in 100 years; virtually all of it will remain.<br>
The way you start the problem is okay, except that the value you got for k has the decimal point in the wrong place; it should be -0.533190.<br>
But the problem with your work is that, by using 1.3 in your calculation for the value of k, your units of time are billions of years.<br>
So in finding the number of grams left after 100 years, where you show<br>
{{{A(100)=10e^(-5.33190)(100)}}}<br>
both of the "100"s should be "(100/10^9)", or 10^-7.<br>
Do that calculation and you will see that nearly all of the original 10 grams remains after 100 years.