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This chart show the amount of radioactivity measured from three unknown isotopes. Which statement describes each of the isotopes? Isotope A was measured at day 24, Isotope B was measured at day 6, and Isotope C was measured at day 10. Isotope A was measured at day 18, Isotope B was measured at day 4, and Isotope C was measured at day 5. Isotope A was measured at day 24, Isotope B was measured at day 8, and Isotope C was measured at day 20. Isotope A was measured at day 30, Isotope B was measured at day 6, and Isotope C was measured at day 10.

This chart show the amount of radioactivity measured from three unknown isotopes Which statement describes each of the isotopes Isotope A was measured at day 24 class=

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superman1987

Answer: Isotope A was measured at day 24, Isotope B was measured at day 6, and Isotope C was measured at day 10.

Explanation:

The half-life time is defined as the time needed for the radioactive isotope to decay to the half of its initial concentration.

  • Isotope A: its starting weight 95 g and its ending measured weight is 5.9.

95 → 47.5 (half-life 1) → 23.75 (half-life 2) → 11.875 (half-life 3) → 5.9 (half-life 4).

It needs 4 half-lives to decay from 95 to 5.9.

half-life time of isotope A = 6 days.

the time taken to measure isotope A = (4 x 6 days) = 24 days.

  • Isotope B: its starting weight 20 g and its ending measured weight is 2.5.

20 → 10 (half-life 1) → 5 (half-life 2) → 2.5 (half-life 3).

It needs 3 half-lives to decay from 20 to 2.5.

half-life time of isotope B = 2 days.

the time taken to measure isotope B = (3 x 2 days) = 6 days.

  • Isotope C: its starting weight 45 g and its ending measured weight is 22.5.

45 → 22.5 (half-life 1)

It needs 1 half-life to decay from 45 to 22.5.

half-life time of isotope C = 10 days.

the time taken to measure isotope C = (1 x 10 days) = 10 days.

Isotope A was measured at day 24, Isotope B was measured at day 6, and Isotope C was measured at day 10 is the correct statement for given isotopes.

How we calculate the total measured time?

Total measured time for any decay of compound is calculated as:

T = nt, where

n = no. of half life time

t = half life time

  • Calculation for isotope A

Half life for isotope A = 6 days

Initial concentration of isotope A = 95g

Final concentration of isotope A = 5.9g

Number of half lives required for this decay:

95 → 47.5 (1st) → 23.75 (2nd) → 11.875 (3rd) → 5.9 (4th)

Measurable time T = 4 x 6 days = 24 days.

  • Calculation for isotope B

Half life for isotope B = 2 days

Initial concentration of isotope B = 20g

Final concentration of isotope B = 2.5g

Number of half lives required for this decay:

20 → 10 (1st) → 5 (2nd) → 2.5 (3rd)

Measurable time T = 3 x 2 days = 6 days

  • Calculation for isotope C

Half life for isotope C = 10 days

Initial concentration of isotope C = 45g

Final concentration of isotope C = 22.5g

Number of half lives required for this decay:

45 → 22.5 (1ST)

Measurable time T = 1 x 10 days = 10 days

Hence, option (1) is correct.

To know more about half life time, visit the below link:

https://brainly.com/question/2320811

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