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Name: _________________________ Period: _______ Atomic Structure 3: ISOTOPES 1. Introduction By now you know that all atoms of an element have the same number of protons, as given by the atomic number. You also know that the number of electrons in an uncharged atom equals the number of protons. The number of neutrons in the nucleus of an atom is not so predictable. The periodic table helps us out, though, by giving the atomic mass of an element, which lets you calculate the number of neutrons. “How?” you ask? The number of neutrons is just the atomic mass minus the atomic number. Ta da! Atomic Number Carbon-12 (12C) Atomic Number Symbol Atomic Mass Protons CARBON Neutrons Electrons Atomic Mass Find carbon on Side 1 of your periodic table, and complete the table and the element block above. 2. Numerous Neutrons Now find carbon on Side 2 of your periodic table. Same atomic number, right? Same atomic mass, right? WRONG! Side 2 gives the atomic mass of carbon as 12.011! What’s up with that? (Technical detail for fussy people: Side 1 uses the old term “atomic weight” first introduced by Dalton himself. It means the same thing as atomic mass.) Remember how I said all atoms of an element are the same? Well … I lied. It IS true that all atoms of an element have exactly the same number of protons. But, that AIN’T true about the number of neutrons. Different atoms of the same element with different numbers of neutrons are called isotopes — they have the same atomic number and the same number of protons, but they have different atomic masses and different numbers of neutrons. EXAMPLE: FOR ALL YOU WORD LOVERS: “Isotope” comes from the Greek words “iso” meaning “the same” and “topos” meaning “place”. All isotopes of an element share the same place in the periodic table. A bonus point if you can name this building … • 100% of all carbon atoms have 6 protons no matter how many neutrons they have. That’s it. Six. One more than five. • 98.93% of naturally occurring carbon atoms have 6 neutrons to go with those 6 protons. This isotope of carbon, with an atomic mass of 12, is called ... wait for it ... carbon-12! We also write it as “12C ”. • Since carbon-12 is by far the most common isotope of carbon, it’s the only one indicated on Side 1 of your periodic table. • But wait – there’s more! 1.07% of all carbon atoms have 6 protons and 7 neutrons and an atomic mass of 13. This isotope is called “carbon-13”. Complete the table and element block for carbon-13. Atomic Number Carbon-13 (13C) Atomic Number Symbol Atomic Mass Protons Neutrons Electrons CARBON Atomic Mass Side 2 of your periodic table gives the atomic mass of natural carbon. If you go out in your backyard and dig up a shovelful of carbon, 98.93% of it will have an atomic mass of 12 and 1.07% will have an atomic mass of 13. On average, the shovelful will have an atomic mass of 12.011. Dr. V / Physical Science AtomicStructure3.Isotopes.doc 1 of 2 3 BONUS POINTS to anyone who can figure out precisely where the 12.011 (actually 12.0107) comes from! Show your work here: 3. Radioactivity At least one of you is thinking “What about carbon-14? I know I’ve heard something about carbon-14.” Good boy, Sherman! About 1 trillionth of naturally occurring carbon has 6 protons and 8 neutrons for an atomic mass of ____. This isotope is special because it’s radioactive. It’s radioactive because it’s unstable. It’s unstable because it has too many neutrons for its own good. Since it’s unstable, it undergoes “radioactive decay”. So, Too many (or too few) neutrons leads to radioactive decay. Here’s how: Once in a great while, a radioactive carbon-14 atom changes into an atom of nitrogen-14, which is not radioactive (so it lasts forever). You put a lump of 14 C under your pillow, and you wake up with 14N instead; compliments of the radioactive decay fairy. Complete the tables to figure out what happens in that reaction: Carbon-14 (14C) Draw a circle around Sherman. Nitrogen-14 (14N) Atomic Number Atomic Number Atomic Mass Atomic Mass Protons Protons Neutrons Neutrons Electrons Electrons This is an example of a nuclear reaction not a chemical reaction. Something in the nucleus changed, and we converted one element into another. (REMEMBER: The number of protons determines the identity of the atom!) Which of these equations describes what happened in the carbon nucleus? Notation: p = proton, n = neutron, e = electron, and “→” means “turns into”… 4. p+n→e p+e→n n→p+e HINT: Look at the tables and see what you lost and what you gained, and then pick the equation that shows that … Radiometric Dating Some nuclear reactions occur quickly (like in nuclear bombs) and some occur slowly, like carbon-14 decay. The “half-life” of carbon-14 is (roughly) 6000 years. That means it takes 6000 years for half of any given amount of carbon-14 to be converted into nitrogen-14. In other words, if you put 10 grams of carbon-14 under your pillow and wake up 6000 years later, you’ll have 5 grams left. The rest will have been turned into nitrogen-14 by the radioactive decay fairy. You’ve probably heard of carbon-14 because it’s used to determine the age of ancient plants and animals. If we find a woolly mammoth carcass frozen in a glacier, we can tell how old the body is by measuring how much carbon-14 is left in it. Fill out the table below to figure out how much carbon-14 would be left under your pillow after 60,000 years: AGE (YEARS) 14 C AMOUNT (grams) 30,000 0 10 36,000 6000 5 42,000 12,000 48,000 18,000 54,000 24,000 60,000 We can use other radioactive isotopes to date rocks that are billions of years old! Dr. V / Physical Science AtomicStructure3.Isotopes.doc 2 of 2