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jekas [21]
3 years ago
7

Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element

X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.Step-by-step explanation:

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