Question

Carbon-14 has a half-life of 5,730 years. How long will it take for 112. 5 g of a 120. 0-g sample to decay radioactively? 5,730 years 11,460 years 17,190 years 22,920 years.

Answer 1

The time taken by Carbon-14 to decay radioactively from 120g to 112.5g is 22,920 years.

How do we calculate the total time of decay?

Time required for the whole radioactive decay of any substance will be calculated by using the below link:

T = (n)(t), where

• t = half life time = 5730 years
• n = number of half life required for the decay

Initial mass of Carbon-14 = 120g

Final mass of Carbon-14 = 112.5g

Left mass = 120 - 112 = 7.5g

Number of required half life for this will be:

• 1: 120 → 60
• 2: 60 → 30
• 3: 30 → 15
• 4: 15 → 7.5

4 half lives are required, now on putting values we get

T = (4)(5730) = 22,920 years

Hence required time for the decay is 22,920 years.

To know more about radioactive decay, visit the below link:

brainly.com/question/24115447

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