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How much of a 0.230 g radioactive sample with a half-life of 8 hours would remain after a period of 2.50 days?

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asuwafohjames

The amount of radioactive sample after 2.5 days is 0.00127 g.

What is half-life?

Half-life is the time require for half the sample of a radioactive material to decay

To calculate the amount of radioactive sample left after 2.5 days, we use the formula below.

Formula:

  • R' = R/[tex]2^{t/n}[/tex]................... Equation 1

⇒ Where:

  • R' = Amount of radioactive sample left
  • R = Original amount of sample
  • t = Total time
  • n = Half-life

From the question,

⇒ Given:

  • R = 0.230 g
  • t = 2.5 days = (2.5×24) hours = 60 hours
  • n = 8 hours

Substitute these values into equation 1

  • R' = 0.230/([tex]2^{60/8}[/tex])
  • R' = 0.230/[tex]2^{7.5}[/tex]
  • R' = 0.230/181.02
  • R' = 0.00127 g.

Hence. the amount of radioactive sample after 2.5 days is 0.00127 g.

Learn more about half-life here: https://brainly.com/question/25750315

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