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How much time is required before a 2.50-mg sample of 146 61 pm (t1/2 = 2020days) is reduced to 1.25mg

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Answer:

2020 days

Explanation:

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

Here, A = 1.25 mg, A₀ = 2.50 mg, and T = 2020 days.

1.25 = 2.50 (½)^(t / 2020)

0.5 = ½^(t / 2020)

1 = t / 2020

t = 2020

It takes 2020 days.

The time required before a 2.50-mg sample of 146 61 pm is reduced to 1.25mg is 2020 days.


What is half life?

Half life is the time taken  by a radioactive material for the radioactivity of  to reduce by half its original value.

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

Given is the value of A = 1.25 mg, A₀ = 2.50 mg, and T = 2020 days.

1.25 = 2.50 (½)^(t / 2020)

0.5 = ½^(t / 2020)

1 = t / 2020

t = 2020

Thus, time taken is 2020 days.

Learn more about half life.

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