Half Life.

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Presentation transcript:

Half Life

What’s half life? The half-life of a radioactive isotope is the amount time it takes for half the nuclei in a sample of the isotope to decay

Half Life Analogy You have $200 in your wallet. You go shopping and spend half of your money in 1 hour. How much do you have left? After another hour, you spend half of your remaining money. Now how much do you have left? After a 3rd hour of shopping you spend half of what you have left on lunch before you head home. How much money do you have now?

How to solve a half life problem You have a 200 gram sample of Radon. Its half life is 4 days. How much will remain unchanged after 12 days? Step 1) Make a list of what you know. Starting Mass = 200 grams Final Mass = ????? Half life = 4 days # of half-lives =???? Step 2) Determine what you are solving for. “How much will remain unchanged after 12 days?”  We are looking for how much is left or the final mass.

Solving a half life problem. You have a 200 gram sample of Radon. Its half life is 4 days. How much will remain unchanged after 24 days? Step 3) Solve using a chart. Half life Time passed mass Starting (0) None 200 grams 1 4 100 grams 2 8 50 grams 3 12 25 grams So we have 3.125 grams left after 24 hours.

Try this one on your own. Polonium-209 decays from 200 grams to 12.5 grams in 8 hours. How long is one “half life”?

Try this one on your own. Polonium-209 decays from 200 grams to 12.5 grams in 8 hours. How long is one “half life”? Starting Mass = 200 grams Final Mass = 12.5 g Half life = ?? Time = 8 hours # of half-lives =???? Half life Time passed mass Starting (0) None 200 grams 1 100 grams 2 50 grams 3 25 grams 4 8 12.5 grams

Graphing Half-Life How much is left after 1 half life? 2 half lives?