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Apollo14LMP

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## Homework Statement

Can someone check this please ?

Calculate the maximum number of 116In nuclei (number in equilibrium) in the sample if the half-life of 116In is 54 m.

## Homework Equations

## The Attempt at a Solution

The half life is 54 minutes, converted to seconds = 54m x 60 s-1 = 3.24 x 10^3 s-1

(In2) / λ = In2 / 3.24 x 10^3 s-1 = 2.14 x 10^-4 s-1

A = R - λN(t) So, A = 10 s-1 / 2.14 x 10^-4 s-1= 4.67×10^4 nuclei

The number of nuclei in the sample N = mNA/A, where is the fraction of the isotope (atomic mass A) in the sample (mass m) and NA is Avogadro's number.

N = 4.67×10^4 x 6.022^23 / 116 = 2.42 x 10^26 s-1 Equilibrium activity = 2.42 x 10^26 s-1