Practice Problems 4 Chapter 2 CHE 151 Graham/07 How many protons and neutrons are in the nuclei of 204Tl atoms? 1.) _81 protons___ _123 neutrons_ 2.) What is the atomic number, mass number and symbol for the element that has 45 protons and 58 neutrons? 3.) Z = 45 protons A = 103 (Atomic Number) (Mass Number) ___Rh_____ (symbol) Write the complete symbol for an atom with the following characteristics 39 a.) contains 19 electrons and 20 neutrons _19K_________ 15 b.) nitrogen atom with 8 neutrons ____7N______ c.) bromine atom with a mass number of 80 _35Br________ d.) mercury atom that contains 281 subatomic particles ____80Hg____ e.) contains 20 protons and has a mass number of 42 20Ca_________ f.) cobalt atom with 33 neutrons _____27Co____ g.) iodine atom with 181 subatomic particles _53I_________ h.) sulfur atom with 52 subatomic particles ______16S____ i.) uranium atom with 146 neutrons _92U_________ j.) copper atom with 65 nucleons _______29Cu__ 80 201 42 60 128 36 238 65 Magnesium occurs in nature in three isotopic forms: relative mass 24 Mg (78.70% abundance) 23.985 amu 4.) 26 25 Mg (11.17% abundance) 25.983 amu Mg (10.13% abundance) 24.986 amu Calculate the atomic mass of Magnesium from these data 24 Mg: Mg: 25 Mg 26 0.7870 x 23.985 = 18.876195 = 0.1117 x 25.983 = 2.9023011 = 0.1013 x 24.986 = 2.5310818 = 18.88 amu 2.902 amu 2.531 amu 24.313 24.31 amu 5.) Calculate the atomic mass of titanium on the basis of the following percent composition and isotopic mass data for the naturally occurring isotopes. titanium-46 titanium-47 titanium-48 titanium-49 titanium-50 6.) = = = = = 7.93% (45.95263 amu) x 0.0793 7.28% (46.9518 amu) x 0.0728 73.94% (47.94795 amu) x 0.7394 5.51% (48.94787 amu) x 0.0551 5.34% (49.9448 amu) x 0.0534 Natural samples of copper contain two isotopes. 63Cu has a mass of 62.930 amu and 65Cu has a mass of 64.928 amu. The percent abundance of 63 Cu is 69.09%. Calculate the atomic mass of copper. % abundance 65Cu: 63 65 100.00% - 69.09% = 30.91% Cu: 62.930 x 0.6909 = Cu: 64.928 x 0.3091 = 7.) = 3.64 = 3.42 = 35.45 = 2.70 = 2.67 47.88 amu 43.48 20.05.6%7 63.55 amu The two naturally occurring isotopes of chlorine are 35Cl with a mass of 34.9689 amu and 37Cl with a mass of 36.9659 amu. The atomic mass of elemental chlorine on earth is found to be 35.46 amu. Calculate the percent abundance of each of the two chlorine isotopes. 34.9689X + 36.9659Y = 35.46 amu X + Y = 1 34.9689X + 36.9659(1-X) = 35.46 amu 34.9689X + 36.9659 - 36.9659X 34.9689X - 36.9659X = Y = (1 - X) 35.46 amu = 35.46 - 36.9659 (hundredth place) -1.9970X = -1.5059 round -1.51 X = -1.51 = 0.756 x 100 = 75.6% -1.997 1 - 0.756 = Y = 0.244 x 100 = 24.4% 37 Cl 35 Cl 8.) Calculate the atomic mass of an element if 60.4% of the atoms have a mass of 68.9257 amu and the rest have a mass of 70.9249 amu. Identify the element in the periodic table. 100.0% - 60 4% = 39.6% 0.604 x 68.9257 0.396 x 70.9249 9.) = = 41.6 28.1 69.7 amu = atomic mass of Gallium (Ga) Europium has two stable isotopes: 151Eu with a mass of 150.9196 amu and 153 Eu with a mass of 152.9209. If elemental Europium is found to have a mass of 151.96 amu on earth, calculate the percent of each of the two isotopes (with the correct number of significant figures). Mass of Eu = (mass 151Eu)(% abundance) + (mass 153Eu)(% abundance) X Y X + Y = 1 Y = 1–X 151.96 amu = (150.9196)X + 152.9209(1 – X) 151.96 amu = 150.9196X + 152.9209 - 152.9209X 151.96 - 152.9209 = 150.9196X - 152.9209X (2 decimal places) -0.9609 = -2.0013X X = -0.96 = 0.48 x 100 = 48% -2.0013 151 Y = 1 – X = 1 – 0.48 = 0.52 x 100 = 52% 153 Eu Eu 10.) How many electrons are in each of the following ions? a.) Cu2+ ___27_____ b.) P3- __18______ 11.) What elements readily form cations? ___metals____________ 12.) What elements readily form anions? __non-metals_________ 13.) Which members of group 14 (IVA) are classified as nonmetals? ________Carbon (C)________________________ 14.) How much oxygen is required when 11.24 g of cadmium is converted to 12.84 g of cadmium oxide? ___1.60 g oxygen_________ Law of Conservation of mass 15.) 12.84 g CdO -11.24 g Cd 1.60 g O The density of gold is 19.3 g/cm3, and the mass of a single gold atom is 3.27 x 10-22 g. How many gold atoms are present in a piece of gold whose volume is 3.22 cm3 ? 3.22 cm3 x 19.3 g x 1 atom(Au) = 1.90 x 1023 atoms (Au) 1 cm3 3.27 x 10-22g