Answer:
after 1 hour 642g
after 3 hour 160.6g
after 4 hour 80.3g
Step-by-step explanation:
Since we don't know ratio between term so we will use radio decay formula instead of geometric.
Formula to use:
Radioactive Decay
F = Ae ^(-kt)
where F = amount left after decay
A = initial amount
k = constant
t = time in hours
Plug in the value from the table to find the value of k
322 = 1284e^(-k2)
322/1284 = e^(-k2)
0.25 = e^(-k2)
ln(0.25) = ln(e)^-k2
ln(0.25) = -k2ln(e)
ln(0.25) / ln(e) = -k2
-1.386 = -k2
k = 1.386/2
Again plug in the value to find amount left after 1 hour
k = 0.693
F = 1284e ^(-1(0.693))
F = 1284(0.5)
F = 642g
Again plug in the value to find amount left after 3 hour
F = 1284e ^(-3(0.693))
= 1284(0.125)
= 160.6g
Again plug in the value to find amount left after 4 hour
F = 1284e ^(-4(0.693))
= 1284(0.0625)
= 80.3g
