Hi-Can you please provide me a step by step instruction on this problem? If you

ID: 520539 • Letter: H

Question

Hi-Can you please provide me a step by step instruction on this problem? If you do so, I will give you a good rating. Thanks.

Consider the following data for a particular radionuclide:

Time Nt

0 min 1.23 g

3 1.15

6 1.08

9 1.01

12 0.940

What is the half-life (in min) of this radionuclide? Answer is 30.9

This is what I have so far:

0.693/ t1/2 = (1/3 min) ln {1.23 g/ 1.15 g}

t1/2=(0.693)(1/3 min) ln {1.23 g/ 1.15 g}

However, when I calculate it I don`t even come close to 30.9. What am I doing wrong?

t1/2 = t / log1/2(Nt / N0)

where t1/2 = Half-life

t = Elapsed time = 3 min

Nt = Final amount = 1.15 g

N0 = Initial amount = 1.23 g

t1/2 = t / log1/2(Nt / N0) = 3 min / log1/2(1.15 g / 1.23 g) = 3 min / 0.097 = 30.9 min

Half-life = 30.9 min

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