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The half-life of Co-60 is 5.3 years. If the initial mass of the sample is 1000g, how much will remain after 15.9 years?

Sagot :

Answer:

m_r = 125 g

Explanation:

Formula to calculate the remaining mass is;

m_i = m_r × 2^(t/λ)

Where;

m_i is initial mass of sample

m_r is remaining mass after time t.

t is time

λ is half life.

We are given;

m_i = 1000 g

t = 15.9 years

λ = 5.3 years

Thus;

1000 = m_r × 2^(15.9/5.3)

1000 = 8m_r

m_r = 1000/8

m_r = 125 g

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