Answer:
0.15 g of Polonium will be in the sample 1104 days later.
Step-by-step explanation:
The exponential function for decay is,
\(y(t)=a(1-r)^t\)
Where,
y(t) = the amount after time t,
a = initial amount = 38 g
r = rate of decay = 50% = 0.50 (as the sample is getting halved each time)
t = time period = \(\dfrac{1104}{138}=8\) (as we have to convert the time in terms of half lifes)
Putting all the values,
\(y(t)=38(1-0.5)^8\)
\(=38(0.5)^8\)
\(=0.15\ g\)
