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Base your answer on the information below. Polonium-210 occurs naturally, but is scarce. Polonium-210 is primarily used in devices designed to eliminate static electricity in machinery. It is also used in brushes to remove dust from camera lenses. Polonium-210 can be created in the laboratory by bombarding bismuth-209 with neutrons to create bismuth-210. The bismuth-210 undergoes beta decay to produce polonium-210. Polonium-210 has a half-life of 138 days and undergoes alpha decay. Determine the total mass of an original 28.0-milligram sample of Po-210 that remains unchanged after 414 days. Show the math setup, the arrows, and your answer for full credit.

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Answer:

3.5 milligram

Explanation:

From;

N/No = (1/2)^t/t1/2

Where;

N = amount of Po-210 that remains unchanged after 414 days

No = 28.0 milligram of Po-210 originally present

t = 414 days

t1/2 = half life of Po-210 = 138 days

Substituting values;

N/28 = (1/2)^414/138

N/28 = (1/2)^3

N/28 = 1/8

8N = 28

N = 28/8

N = 3.5 milligram