The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in 200 years? (Round your answer to three decimal places.)

The amount that will be present in 200 years is 57.584 g

We'll begin by calculating the number of half-lives that has elapsed.

Half-life (t½) = 710 years

Time (t) = 200 years

n = t / t½

n = 200 / 710

Number of half-lives (n) = 20/71

Initial amount (N₀) = 70 g

Thus, the amount remaining after 200 years is 57.584 g

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grams

Explanation:

Given -

Half life of the silicon-32 years

Half life means the time period required by a radioactive element to reduce its mass by half.

Radioactive decay formula is

Where

A represents the amount of radioactive element after time t years

represents the initial amount of radioactive element

time of decay

half-life of the substance

Substituting the given values in above equation, we get -

grams

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