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lab3_half_life_of_radioactive_isotopes.pdf

Half-Life of Radioactive Isotopes

Choose one of the isotopes from the list below:

Name of your chosen radioactive isotope:___________________________________________________

Convert the half-life that is given in days, into weeks and years. Round your answers to 4 decimal

places.

Half-Life in Days: Half-Life in Weeks: Half-Life in Years:

Moving forward, we will use the half-life in days, so t will be measured in days. Using the formula for

exponential decay (𝐴 = 𝐴0𝑒 𝑘𝑡) and the half-life for your radioactive isotope, calculate k. Make sure to

get your value of k to 8 decimal places.

𝑘 = _______________________

Write an equation for your radioactive isotope plugging in k, but no specific value of t (for example, 𝐴 =

𝐴0𝑒 −.00027154𝑡).

𝐴 = _________________________________

Now, use your equation to find how long it will take for the radioactive isotope to decay to 20% of its

original amount. Round your answer to the nearest tenth.

_________________days

QUESTION1.docx

QUESTION 1

1. Enter the name of the radioactive isotope you chose for the lab. 

1 points   

QUESTION 2

1. Enter the half-life of your chosen radioactive isotope in days. Round any answers to 4 decimal places as needed.

points   

QUESTION 3

1. Enter the half-life of your chosen radioactive isotope in weeks. Round any answers to 4 decimal places as needed.

1 points   

QUESTION 4

1. Enter the half-life of your chosen radioactive isotope in years. Round any answers to 4 decimal places as needed.

1 points   

QUESTION 5

1. Enter the value you found for k rounded to 8 decimal places.

3 points   

QUESTION 6

1. Enter the equation you found for your radioactive isotope. 4 points   

QUESTION 7

1. Enter the number of days it will take to decay to 20% of the original amount. Round your answer to the nearest tenth.

5 points   

QUESTION 8

1. Will the amount of the substance ever reach zero?  Why or why not?  Use the graph of your function in your justification.