Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 :

Eduard22sly

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

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.