Question

carbon 14 has a half life of 5730 years how long does it take a 200 gram sample

Answer 1

This question is on radioactivity to be specific it requires you to determine the time it will take 200 gram sample to reduce to half its original mass given half life of 5730 year.

First you need to calculate the constant, k and you can use this formula

k= 0.693/ T₁/₂

where T₁/₂ is half life

k= 0.693/5730

k= 1.2 x 10^-4 y⁻¹

Then you need to calculate time using this formula

kT =㏑ N₀/N

1.2 x 10^4 T= ㏑ 200/100

T = 5776 years.

Just follow my workings and you can apply the solution to the other problems like this.