Isotopes Of the Atom Isotopes At the conclusion of our time together, you should be able to: Define an isotope Determine the number of protons, neutrons and electrons for an isotope Define average atomic mass Determine the average atomic mass for an element given the isotopes Isotopes Atoms of the same element (same number of protons) with a different number of neutrons. H H Isotopes Atoms with the same number of protons & electrons but a different number of neutrons. They are the same element, are chemically identical and undergo the exact same chemical reactions They have different masses (different mass number). All isotopes are used to calculate average atomic mass (this mass is usually a decimal). Most elements consist of a mixture of isotopes. Isotopes Atoms of the same element but different mass number. Boron-10 (10B) has 5 p and 5 n Boron-11 (11B) has 5 p and 6 n 11B 10B Two Isotopes of Sodium. Isotopes •According to international convention all atomic masses derive from the isotope carbon-12. •One atomic mass unit (amu) is exactly 1/12 of the mass of a C-12 atom. •The natural atomic mass of an element is the average of the atomic masses of the isotopes: 15 Helpful Hints On The Lab Report from Mr. T’s Vast Lab Experience!!! Hint #12. The probability of a given event occurring is inversely proportional to its desirability. Schematic Diagram of a Mass Spectrometer Neon Gas Mass Spectrum of Natural Copper Another Interesting Boat Name Determining Average Atomic Mass 11B 10B Because of the existence of isotopes, the mass of a collection of atoms has an average value. Boron is 20%10B and 80%11B. That is, 11B makes up 80% of the boron in the earth’s crust. For boron average atomic mass = 0.20 (10 amu) + 0.80 (11 amu) = 10.8 amu How to Determine Average Atomic Mass 1. 2. 3. 4. Determine Relative Abundance – % abundance divided by 100 Determine mass of each isotope and multiply relative abundance by this mass (keep all digits your calculator gives you) Determine Average Atomic Mass by adding up all the individual masses, round to “2” decimal places 1H 2H 3H (0.98 x 1 amu) + (0.01 x 2 amu) + (0.01 x 3 amu) 1.03 amu #1 Nitrogen Example Because of the existence of isotopes, the mass of a collection of atoms has an average value. 14N = 99% abundant and 15N = 1% (0.99 x 14 amu) + (0.01 x 15 amu) = 14.01 amu Avg. Atomic mass of N = ______________ 121.84 amu Avg. Atomic mass of Sb = ______________ Average Atomic Mass Example Problem: There are three naturally occurring isotopes of neon: Ne-20, 90.51%, 19.99244 amu; Ne-21, 0.27%, 20.99395 amu; Ne-22, 9.22%, 21.99138 amu. Calculate the average atomic mass of neon. Atomic mass = (0.9051 x 19.99244 amu) + (0.0027 x 20.99395 amu) + (0.0922 x 21.99138 amu) Atomic mass = 18.10 amu + 0.057 amu + 2.03 amu = 20.18 amu Isotopes & Average Atomic Mass Because of the existence of isotopes, the mass of a collection of atoms has an average value. 6Li = 7.5% abundant and 7Li = 92.5% 6.93 amu Avg. Atomic mass of Li = ______________ 28Si = 92.23%, 29Si = 4.67%, 30Si = 3.10% 28.11 amu Avg. Atomic mass of Si = ______________ Wish I’d of Thought of It!!! Isotopes Let’s see if you can: Define an isotope Determine the number of protons, neutrons and electrons for an isotope Define average atomic mass Determine the average atomic mass for an element given the isotopes Let’s see what you learned… Get your clickers ready!!! Isotopes? Which of the following represent isotopes of the same element? Which element? 234 92 X 234 93 X 235 92 X 238 92 Uranium X Self-Check Naturally occurring carbon consists of three isotopes, 12C, 13C, and 14C. State the number of protons, neutrons, and electrons in each of these carbon atoms. 12C 13C 14C 6 6 6 6 #p+ _______ 6 _______ 6 _______ 6 #no _______ 7 _______ 8 _______ 6 #e- _______ 6 _______ 6 _______ Self-Check Continued An atom has 14 protons and 20 neutrons. A. Its atomic number is a) 14 b) 6 c) 34 d) 20 B. Its mass number is a) 14 b)20 c) 16 d) 34 C. The element is a) Si b) Ca c) Se d) C D. Another isotope of this element is a) 34X b) 34X c) 36X 16 14 14 Average Atomic Mass Practice Silicon has 3 isotopes with the following % abundances. Si-28, 92.23% Si-29, 4.67% Si-30, 3.10% Calculate silicon’s average atomic mass. 1) Answer (28 amu x 0.9223) + (29 amu x 0.0467) + (30 amu x .031) = 28.11 amu Element “X” has three naturally occurring isotopes. 78.70% of “X” atoms exist as X-24, 10.03% exist as X-25 and 11.17% exist as X-26. What is the average atomic mass of element “X” in amu’s? 1. 2. 3. 4. 5. 24.00 24.29 24.30 24.99 25.00 Isotopes At the conclusion of our time together, you should be able to: Determine the average atomic mass for an element given the isotopes Determine the average atomic mass for an element called Candium given the isotopes of M&M, Skittles and Reese’s Pieces What did the Cowboy Chemist say to do when the cows got out?? Europium - Eu Review Average Atomic Mass Practice 1) Argon has 3 isotopes with the % abundances listed on your paper. Calculate Argon’s average atomic mass. Answer (35.97 amu x 0.00337) + (37.96 amu x 0.00063) + (39.96 amu x 0.9960) = 39.95 amu Or Answer (36 amu x 0.00337) + (38 amu x 0.00063) + (40 amu x 0.9960) = 40.00 amu Now Let’s Review Average Atomic Mass with the Candium Lab