PHYSICS MIDDLE SCHOOL

I have an object that I want to know when it was made. I calculate that the object contains 0.12g of Iodine-131 but started with 60g. How old is my object?

Answers

Answer 1

Answer:

Answer: 71.72 days

Explanation:

This problem can be solved using the Radioactive Half Life Formula:

$A=A_(o).2^{(-t)/(h)}$ (1)

Where:

$A=0.12 g$ is the final amount of Iodine-131

$A_(o)=60 g$ is the initial amount of Iodine-131

$t$ is the time elapsed

$h=8 days$ is the half life of Iodine-131

Knowing this, let's substitute the values and find $t$ from (1):

$0.12 g=(60 g)2^{(-t)/(8 days)}$ (2)

$(0.12 g)/(60g)=2^{(-t)/(8 days)}$ (3)

Applying natural logarithm in both sides:

$ln((0.12 g)/(60g))=ln(2^{(-t)/(8 days)})$ (4)

$-6.21=-(t)/(8 days)ln(2)$ (5)

Finding $t$ :

$t=71.72 days$

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Answer:

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Explanation:

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Answers

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Answer:

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