Element x decays radioactively with a half life of 13 minutes. If there are 970 grams of element x, how long, to the nearest ten

Question

2 years ago

15

th of a minute, would it take the element to decay to 98 grams?

1 answer:

Masteriza [31] · Answer 1 · 2023-03-16T14:29:42+03:00

The time taken to the nearest tenth of a minute, would it take the element to decay to 98 grams is 9.897.

Half-life is the time half-time of the total decay of any element.

Given that, Initial amount = 970 grams

Final amount = 98 grams

Half life = 13 minutes

To find the half life

$Half life \times \dfrac{\dfrac{initial \;amount}{final\;amount} }{log2} \\\\\\13 \times \dfrac{\dfrac{970 }{98} }{log2} = 9.897$

Thus, the time taken to the nearest tenth of a minute, would it take the element to decay to 98 grams is 9.897.

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