# Carbon dating exponential equation

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.Potassium-40 is another radioactive element naturally found in your body and has a half-life of 1.3 billion years.Other useful radioisotopes for radioactive dating include Uranium -235 (half-life = 704 million years), Uranium -238 (half-life = 4.5 billion years), Thorium-232 (half-life = 14 billion years) and Rubidium-87 (half-life = 49 billion years).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.

This is the number particles we have in a given period time. So one thing, we know that our rate of change is going down. We know that, in the case of radioactive decay, I could do the same exercise with compounding growth, where I would say, oh no, it's not a negative number, that our growth is dependent on how much we have.Well here you have 1000th of the number particles in this sample as this one. But we know that no matter what substance we're talking about, this constant is dependent on the substance.So, for every thousand particles you saw decaying here, you'd really expect to see one carbon particle per second here. Carbon's going to be different from uranium, is going to be different from, you know, we looked at radon.You really wouldn't see that with carbon-14, but this is just for the sake of our intuition.Let's say over one second you saw 1000 carbon particles per second here.