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3 years ago

2. Mercury-197 is used for kidney scans and has a half-life of 3 days. If 32 grams of

Chemistry

1 answer:

VLD [36.1K]3 years ago

8 0

<h3>Answer:</h3>

1 grams Mercury-197

<h3>Explanation:</h3>

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.

Note that, half life is the time taken by radioisotope to decay by half its original amount.
In this case, the half life of mercury-197 is 3 days, therefore, it takes three days for a mass of mercury-197 to decay by half its original mass.

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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