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Strontium-85 has a half-life of 65 days. how long will it take for the radiation level of strontium-85 to drop to one-fourth of its original level?

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obasola1

Answer:

130 days

Explanation:

Strontium-85 has a half-life of 65 days. how long will it take for the radiation level of strontium-85 to drop to one-fourth of its original level?

Strontium-85 is a radioactive element. so it takes 65days for one strontium of a particular mass to decrease to half of its initial size

Half life  is the time taken for a radioactive element to decrease to half of its initial size. it decays by half every 65 days.

from 1 to 1/2  = 65 days

from 1/2 to 1/4  =65 days

from 1/4 to 1/8 = 65 days

from 1/8 to 1/16 = 65 days

total time taken to decay from original amount to 1/4 is two half lives =

65+65=130 days

asuwafohjames

The time it will take for the radiation level of Strontium-85 to drop to one-fourth of its original level is 130 days.

To calculate the time it will take for Strontium-85 to drop to one-fourth of its original value, we use the formula below.

Formula:

  • R = [tex]2^{a/n}[/tex](R')................ Equation 1

Where:

  • R = Original amount of Strontium-85
  • R' = Amount of Strontium-85 left after decay
  • a = Total time
  • n = half-life.

From the question,

Given:

  • n = 65 days

Assuming,

  • R = y
  • R' = y/4

Substitute the given values and the assumed values into equation 1

  • y = y/4([tex]2^{a/65}[/tex])

Solve for a

  • y(4/y) = [tex]2^{a/65}[/tex]
  • 4 = [tex]2^{a/65}[/tex]
  • 2² = [tex]2^{a/65}[/tex]

Equating the base,

  • 2 = a/65
  • a = 65×2
  • a = 130 days.

Hence, The time it will take for the radiation level of Strontium-85 to drop to one-fourth of its original level is 130 days.

Learn more about half-life here: https://brainly.com/question/11152793

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