In: Physics
Sally has 100 g each of iodine-131 and radon-222.
How much of each of these will remain after 32 days?
What will I-131 decay to and Rn-222 decay to?
a) (i) Let the amount of remaining iodine-131 is mir.
The mass of the iodine mi=100 g.
We know the half life of iodine-131 is t1/2=8 days.
Let the number of half life is in 32 days is n.
The number of half life is in 32 days is
The amount of remaining iodine-131 is
6.25 g of iodine-131 will remain after 32 days .
(ii)
The iodine-131 decay to xenon-131.
b) (i) Let the amount of remaining radon-222 is mrr.
The initial amount of radon-222 is mr=100 g.
The half-life of radon-222 is t1/2=3.8 days.
Let the number of half life is in 32 days is n.
The number of half life is in 32 days is
The amount of remaining radon-222 is
The amount of remaining radon-222 is 0.2917497972 g or 0.29 g approximately.
(ii)
The radon-222 decay to Polonium-218.