Carbon 14 dating chemistry problems dating without drama by paige parker
So, if you're trying to use his to date dinosaurs, just stop.
Scientists use a technique called radiometric dating to estimate the ages of rocks, fossils, and the earth.
The ratio of Carbon-14 remaining indicates the times since the death of a living substance.
Carbon-14 only works for things between 3 and 40 thousand years old. Carbon dating is based on an isotope of carbon, carbon 14, that's unstable. We breathe in carbon dioxide, we eat carbon, we take in carbon and so our bodies continually renewing our supply of carbon 14.
Carbon dating uses an unstable isotope of carbon to find the date of dead substances.
This isotope Carbon-14 has a half life of 5,700 years.
The number of neutrons in the nucleus can vary in any given type of atom.
So, a carbon atom might have six neutrons, or seven, or possibly eight—but it would always have six protons.
Above is a graph that illustrates the relationship between how much Carbon 14 is left in a sample and how old it is.
It decays with a half life of 5700 years into nitrogen 14 and electron and an electron antineutreno. So for that reason, every living thing that is interacting with its environment is expected to have this natural abundance of carbon 14. But when something dies, now it's not interacting with the environment anymore. We know that the amount at time t is equal to the initial amount times one half to the time over the half life, alright?
So this is just an ordinary beta decay process and this carbon fourteen's half life is way way way too short for any carbon to just kind of exist naturally in the atmosphere, you'd think, not quite right. So that mean that 1.3 times 10 to the -12 carbon 14 atoms, exist for each and every carbon 12 atom in nature. So you'd think that if you got this 1.3 times 10 to the -12 carbon 14 atoms for each carbon 12 atom at some time, well then 5700 years later, half of the carbon 14 will have decayed. But in fact what happens is, cosmic rays from the sun interact with the upper atmosphere and they actually create carbon 14, at this rate so that in equilibrium, 1.3 times 10 to the -12 carbon 14 atoms will exist for every carbon 12 atom. It's no longer replenishing its carbon 14 supply. This is our standard radioactive decay formula, always works.
Well, we're going to use exactly the same equation.
So we'll say alright, the amount at 10,000 is equal to the initial amount that I started with 1.3 times 10 to the -12 times a half to the 10,000 divided by 5700. And when you do so, you'll end up with 0.385 times 10 to the -12.