For example, where time equals zero, we have 100% of our substance.
Then after time equals one half-life, we'd have 50% of our substance.
And this is actually a pretty neat application of it.
So let's just think a little bit about the rate of change, or the probability, or the number particles that are changing at any given time.
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.
Well we could divide both sides by What's divided by ?
As soon as a living organism dies, it stops taking in new carbon.
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.
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The use of various radioisotopes allows the dating of biological and geological samples with a high degree of accuracy.