Now I did this yesterday :)
However I did it in days and for part 2 you need it in hours.
To do it in hours, get 8 days in hours
8*24 = 192 hours half life
I = Io e^-kt now t in hours
.5 = e^-192 t
ln .5 = -.693 = -192 k
k = .00361
I = Io e^-.00361 t
Now do your integral from t = 0 to t = 8 days
D = int I dt = int Io e^-.00361 t from t = 0 to t = 192
D = (Io/.00361)(1/2)= 138 Io
10^7 millirem = 10^4 rem = 138 Io
Io = 10,000/138 = 72.5 rem/hr = 72.5*10^3 millirem/hr
now in 6 weeks
6 weeks = 7*24*6 = 1008 hr
D = (Io /.00361)(1-e^-(.00631*1008))
D = (72.5*10^3/.00361)(1 essentially)
D = 20083*10^3 millirems = 20*10^6 millirems essentially or about twice the total dose we got in one half life logically enough
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