Answer:
0.98
Step-by-step explanation:
You want the decay factor for the decay of 207.19 grams of I-131 to 191.26 grams in 4 days.
Decay factor
The second attachment shows where the decay factor fits in an exponential function. Writing the function as ...
f(t) = ab^t
we have ...
f(3) = 207.19 = ab^3
f(7) = 191.26 = ab^7.
Then the ratio of these numbers is ...
f(7)/f(3) = (ab^7)/(ab^3) = b^4 = (191.26)/(207.19)
Taking the fourth root, we have the decay factor:
b = (191.26/207.19)^(1/4) ≈ 0.98
The decay factor for the given data is about 0.98.
<95141404393>
