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PLEASE HELP ME!!

Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 30 grams, how much of the element would remain after 12 years, to the nearest whole number

User Frank Guo
by
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2 Answers

3 votes

Answer: approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

  • A = starting amount = 30 grams
  • H = half life period = 90 years
  • x = number of years that pass by = 12
  • y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number

User Kamran
by
4.4k points
1 vote

Answer: 27.351674656747 g just go to a half life calculator.

Explanation:

User Praj
by
3.6k points