Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Element X decays radioactively with a half life of 13 minutes. If there are 560 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 150 grams?


Sagot :

The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins

How to determine the number of half-lives

  • Original amount (N₀) = 560 g
  • Amount remaining (N) = 150 g
  • Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 560 / 150

2ⁿ = 3.73

Take the log of both side

Log 2ⁿ = Log 3.73

nLog 2 = Log 3.73

Divide both side by Log 2

n = Log 3.73 / Log 2

n = 1.9

How to determine the time

  • Number of half-lives (n) = 1.9
  • Half-life (t½) = 13 mins
  • Time (t) =?

t = n × t½

t = 1.9 × 13

t = 24.7 mins

Learn more about half life:

https://brainly.com/question/26374513

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.