# Carbon dating exponential equation

In this case the amount we're decaying is proportional, but it's going to be the negative of how much of the actual compound we already have. So what I'm saying is, look, our amount of decay is proportional to the amount of the substance that we already are dealing with.And just to maybe make that a little bit more intuitive, imagine a situation here where you have 1 times 10 to the 9th. And let's say over here you have 1 times 10 to the 6th *carbon* atoms.By looking at the ratio of **carbon**-12 to **carbon**-14 in the sample and comparing it to the ratio in a living organism, it is possible to determine the age of a formerly living thing fairly precisely. So, if you had a fossil that had 10 percent **carbon**-14 compared to a living sample, then that fossil would be: t = [ ln (0.10) / (-0.693) ] x 5,700 years t = [ (-2.303) / (-0.693) ] x 5,700 years t = [ 3.323 ] x 5,700 years Because the half-life of **carbon**-14 is 5,700 years, it is only reliable for **dating** objects up to about 60,000 years old.However, the principle of **carbon**-14 **dating** applies to other isotopes as well.Again, please keep their identity a secret Click on the "Continue" button search with your zip/postal code.SAL: The notion of a half-life is useful, if we're dealing with increments of time that are multiples of a half-life.Anything that dies after the 1940s, when Nuclear bombs, nuclear reactors and open-air nuclear tests started changing things, will be harder to date precisely.You may now see our list and photos of women who are in your area and meet your preferences.

But the rate of change is always going to be dependent on the number of particles you have, right? When you have 1/2 the number of particles, you lose 1/2 as much.So that's what we're going to do in this video.And it's going to be a little mathy, but I think the math is pretty straightforward, especially if you've taken a first-year course in calculus.Well we could divide both sides by What's divided by ? As soon as a living organism dies, it stops taking in new *carbon*.

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