math
3 years ago
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lab3_half_life_of_radioactive_isotopes.pdf
QUESTION1.docx
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.
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