Answer:
2.47g
Step-by-step explanation:
Given that Ao=14
A(t)= Aoe^kt
k =2yrs
Considering the function where Ao is the initial substance, k is the rate of decay and t is the time.
At the 2nd year A(t) is 7
That is,
7 = 14e^2k
Solve for k
7/14 = e^2k
In(7/14) = 2k
k = In(7/14)÷2
k = In(0.5)/2
k = -0.34657
Hence, A(t)= 14e^-0.34657
So, when t is 5
A(5) = 14e^-0.34657×5
= 2.4749
Approx = 2.47g
