Hey, i need a help with this university question it needs to be done ASAP.

Question 4

The half-life for the radioactive decay of 14C is 5730 years. An archaeological artifact containing wood

had only 63% of the 14C found in a living tree. Estimate the age of the sample

Question 4

The half-life for the radioactive decay of 14C is 5730 years. An archaeological artifact containing wood

had only 63% of the 14C found in a living tree. Estimate the age of the sample

Original post by 0gg

let x be the age of the sample:

0.5^(x/5730) = 0.63

use logarithms to solve for x

0.5^(x/5730) = 0.63

use logarithms to solve for x

sorry, could you give me a step by step. i dont get it xx

Original post by welove_edu1

sorry, could you give me a step by step. i dont get it xx

of course! i was on the bus when i saw this which is why i was so brief.

•

because the curve of the quantity of ^{14}C halves every given period of years, it can be expressed as y = 0.5^{something times x}, where y is the proportion left, and x is the years

•

because the half-life is 5,730 years, to make that curve of y = 0.5^{something times x} half specifically every 5,730 years, that something in the exponent has to be 1 over 5,730. this is to make it so when x is 0, y = 0.5^{0} = 1, when x is 5,730, y = 0.5^{1} = 0.5, when x is 11,460, y = 0.5^{2} = 0.25 etc...

•

now, since you know the proportion but not the year, you can substitute y for 0.63, and solve for x:

0.5

log

x/5,730 = log

x = 5,730log

hope this helps (:

Ermmm i still don’t get it

Original post by welove_edu1

Ermmm i still don’t get it

which part are you struggling with?

Original post by 0gg

which part are you struggling with?

Oh my I thought I replied again later saying Thank you sooooo much I got it. God bless youuuu!!!

Original post by welove_edu1

Oh my I thought I replied again later saying Thank you sooooo much I got it. God bless youuuu!!!

you're welcome!! (: what's it like studying chemistry at uni?

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Different method of calculation, but correct answer. Do I lose marks?