Question

In: Physics

Sally has 100 g each of iodine-131 and radon-222.   How much of each of these will...

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?

Solutions

Expert Solution

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.

                

                                        


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