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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.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).
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.
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.
The use of various radioisotopes allows the dating of biological and geological samples with a high degree of accuracy.
However, radioisotope dating may not work so well in the future.So if we say, the difference or change in our number of particles, or the amount of particles, in any very small period of time, what's this going to be dependent on?
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