Question

Half-lives
Carbon 14 ------ 5730 years
Uranium 235---- 713 million years
Potassium 40---- 1.3 billion years

1. Scientists found a fossilized bone from an organism in a deep layer of rock. When they took the bone back to the lab they realized that the bone had only 12.5% of the total Carbon 14 left. Based on the amount of Carbon 14 left in the bone how old is the bone?

Answer 1

Ok so you would be tryna find a equation so you will be tryna solve for 0.5n so what would n equal

Answer 2

I am so lost rn I dunno at all we haven't been doing that *screaming*

Answer 3

ok so ill break it down for you

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @badgirlhope
ok so ill break it down for you
\(\color{#0cbb34}{\text{End of Quote}}\)
ok thxs

Answer 5

you can use the equation
fraction remaining = 0.5n where n is # of half lives elapsed
n=?
fraction remaining = 1 - 0.612 = ?

Answer 6

so what would 1 - 0.612 equal

Answer 7

ok i got 0.388

Answer 8

yes that is correct so 0.388 = 0.5n

Answer 9

but that is not all

Answer 10

n=1.37 = the # of half lives

Answer 11

what would 1.37 x 5750 yrs equal

Answer 12

ok hold on

Answer 13

7877.5?

Answer 14

im not going to confuse you with all the steps so the answer would be 13305 years

Answer 15

gosh but was 7877.5 right?

Answer 16

i think so

Answer 17

If you would do this that answer would be wrong 0.20X=X%281%2F2%29%5E%28T%2F5730%29

0.20=%281%2F2%29%5E%28T%2F5730%29

log%281%2F2%2C%280.2%29%29=T%2F5730

T%2F5730=%28log%28%280.2%29%29%2Flog%28%280.5%29%29%29

T=5730%2A%28log%28%280.2%29%29%2Flog%28%280.5%29%29%29

T=5730%2A2.322

T=13305years

Answer 18

thats is why i didnt post it because it would confuse you but n=13305 years

Answer 19

gosh yeah thanks though appreciated

Answer 20

your welcome