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if the half-life of substance A is 1.5 years, how long would it take a 8.0 gram sample of substance A to decay such that only 1.0 gram remained

Respuesta :

Answer:

4.5

Explanation:

Eduard22sly

The time taken for 8.0 g of the sample of A having a half-life of 1.5 years to decay such that only 1 g remains is 4.5 years.

We'll begin by calculating the number of half-lives that has elapsed. This can be obtained as follow:

Original amount (N₀) = 8 g

Amount remaining (N) = 1 g

Number of half-lives (n) =?

N × 2ⁿ = N₀

1 × 2ⁿ = 8

2ⁿ = 8

2ⁿ = 2³

n = 3

Thus, 3 half-lives has elapsed.

  • Finally, we shall determine the time taken for 8.0 g of the sample of A to decay such that only 1 g remains. This can be obtained as follow:

Half-life (t½) = 1.5 years

Number of half-lives (n) = 3

Time (t) =?

t = n × t½

t = 3 × 1.5

t = 4.5 years.

Therefore, it will take 4.5 years for 8.0 g of the sample of A having a half-life of 1.5 years to decay such that only 1 g remains.

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