SCH 3U Unit 1: Matter Isotopes 1. Name: ____________________ Date: ____________________ Isotopes and Isotope Notation We have already reviewed and talked about the concepts of atomic number and mass number. The atomic number of an element is represented by the letter Z. The mass number is represented by the letter A. In short: Where the letters are defined as: A Z X = the symbol for the name of element X NE N = the number of neutrons (usually not shown, but can be derived from A and Z where N = A - Z) Z = the number of protons (atomic number) A = the number of protons and neutrons A = (Z + N) = the atomic mass (approx.) A = mass number E = charge on the ion (when produced) When dealing with isotopes, you may see the notation above as in 131 53 I or you may see the isotope written out with its mass number as iodine-131. 2. Defining Isotopes and Radioisotopes a) Isotopes Atoms with the same number of protons (so the same atomic number) but with different numbers of neutrons (so different mass numbers) are called isotopes. For example, 14 6 C , 136 C , 126 C all have the atomic number 6 (so all have 6 protons) but they have different mass numbers (different numbers of neutrons: 8, 7, 6 respectively). They can also be written as carbon-14, carbon-13 and carbon-12. b) Radioisotopes Smaller atoms tend to have the same number of protons and neutrons. As atoms get larger, the number of neutrons exceeds the number of protons by increasing amounts. This is because neutrons tend to have a stabilizing effect on the repulsive forces between the protons (protons are attracted to neutrons). When the forces between protons and neutrons are not balanced, the nucleus “decays” or breaks down to form a more stable nucleus. Atoms with “unbalanced” nuclei are called radioisotopes because they often produce some form of radiation as their nuclei decay. Example: 60 27 Co e1 + 60 28 Ni Here, a neutron within the unstable Cobalt-60 atom decays to form a proton and an electron. The electron is ejected as a beta particle ( nickel-60 with atomic number 28 instead of 27. e1 ) and the extra proton means the cobalt-60 is now 3. Average Atomic Mass and Isotopic Abundance Most elements found in nature are really a mixture of two or more isotopes. The atomic mass listed in the periodic table for a given element is really a weighted average atomic mass of all of the isotopes of that element. Often when 1 doing these calculations, we use the "unified atomic mass unit, u" as the unit. Theoretically, 1 u = 12 the mass of one carbon atom or 1 u = 1.66 The isotopic abundance (pg. 18) is defined as the amount of a given isotope of an element that exists in nature. This value is usually given as a percentage of the total amount of the element in a typical sample. These values are used to help to calculate the average weighted atomic masses displayed on the periodic table for each element. 4. Calculating Average Atomic Mass on the Periodic Table Using Isotopic Abundance Example: 79 81 Bromine in nature is 50.69% 35 Br and 49.31% 35 Br . What is the average atomic mass of a sample of bromine atoms? SOLUTION: Av. atomic mass = (atm mass of 79Br x fraction of 79Br present) + (atm. mass 81Br x fraction of 81Br present) = (79 u x 50.69 49.31 100 ) + (81 u x 100 ) = 40.0451 u + 39.941 u = 79.9862 u The average atomic mass for bromine is about 80. u. (NOTE: 2 sig figs) [Need more information? Read through “Sample Problem” pg. 165] Practice 1a) A neutral atom of a particular element has Z = 32 and A = 73. Identify the element and state how many protons, electrons and neutrons it has. b) The nucleus of an atom of bromine contains 35 protons and 45 neutrons. Identify its mass number and its atomic number. c) Two common isotopes of copper are copper – 63 and copper – 65. Identify the numbers of protons, neutrons and electrons for each isotope. d) Determine the atomic number, mass number, number of protons, number of electrons and number of neutrons for the 2+ ion belonging to the copper – 63 isotope. 2. Do #10, 11 page 166 and #5 page 167. NOTE: Most text questions have answers at the back of the book. Check your work.