2. mercury-197 is used for kidney scans and has a half-life of 3 days. if 32 grams of
mercury-197 is ordered, but takes 15 days to arrive, how much would arrive in this shipment?
radioisotope:
half life
starting mass =
final amount =
starting time =
end time =
half life
time
mass (g)

1 grams Mercury-197

From the question,

The radioisotope is Mercury-197

The half life of Mercury-197 is 3 days

Starting mass is 32 grams

Time taken is 15 days

We are required to calculate the final mass of the radioisotope after 15 days.

Therefore, using the formula;

Final amount = Starting mass × (1/2)^n

where n is the number of half-lives (ratio of time to half life)

In our case, n = 15 days ÷ 3 days

                      = 5

Therefore;

Final mass = 32 g × (1/2)^5

                  = 32 g × 1/32

                 = 1 g

Therefore, the amount of mercury-197 in the shipment that will arrive is 1 g.

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