Chem 103 Exam 1 Solutions Spring, 2009 1. (3 pts) A person with a fever has a temperature of 101.0 oF. What is this temperature in degrees Kelvin? 5 101.0 32.0 38.30 C 9 K 273.15 38.3 311.5 T For the other version, the answers are 40.0 oC and 313.2K 2. (3 pts) Indicate whether each of the following is a physical change (P) or a chemical change (C): C A metal is dropped into a beaker of water and bubbles appear P Water is heated over a bunsen burner until bubbles appear P An ice cube in a glass of lemonade gradually disappears 3. (4 pts) A sample of metal that has a mass of 183.7 g is added to a graduated cylinder filled with 231.0 mL of water. The level of the water rises to 240.5 mL. What is the density of the metal? Volume of water displaced = 340.5 – 231.0 = 9.5 mL density 183.7 g 19 g / mL (2 sig fig) 9.5mL Answer on the other version: 210.5 mL – 161.0 mL = 49.5 mL sig fig) density = 173.4 g/49.5 mL = 3.50 g/mL (3 4. (4 pts) A jogger can run 1.2 miles in 15 minutes. What is this speed in km/hour? (1 mi = 1609 m) km 1.2mi 60 min 1609m 1km x x x 7.7 km / hr hr 15 min 1hr 1mi 10 3 m Answer on the other version: km 1.8mi 60 min 1609m 1km x x x 10.86 11km / hr hr 16 min 1hr 1mi 10 3 m 5. (3 pts) An atom of 134Xe contains 54 protons, 80 neutrons, and 54 electrons. Answer on the other version: 83 6. (2 pts) Give the symbol ( 33 16 Kr contains 36 protons, 47 neutrons, and 36 electrons ) for an atom of sulfur with 17 neutrons. or S 34 16 S (depending on version) 7. (5 pts) A given element (designated as Z) has three naturally occurring isotopes: 31Z (31.0065 amu), 32Z (32.2464 amu) and 33Z (33.1531 amu). The abundance of 31Z is 38.76%. The two other isotopes have equal abundance. Calculate the average atomic mass of element Z. 0.3876 (31.0065 amu) + 0.3062 (32.2464) + 0.3062 (31.1531) = 32.04 amu Other version: 0.5418 (31.0065 amu) + 0.2291 (32.2464) + 0.2291 (31.1531) = 31.78 am 8. (8 pts) For each element below, put an X in every box for each classification into which the element falls. (i.e. if an element is a transition metal, you would mark both transition element AND metal) Li Co Se Xe main group element X transition element metal nonmetal alkali metal alkaline earth metal halogen noble gas X X X X X X main group element transition element metal X nonmetal alkali metal alkaline earth metal halogen X noble gas X Ar Ni X P Mg X X X X X X X X X 9. (4 pts) What is the formula of the ionic compound that forms between the following elements? Ca and P K and O Ca3P2 K2O Ba3P2 Ba and N Li2O Li and O 10. (10 pts) Name each of the following compounds. Tetraphosphorous trisulfide P4S3 Na2SO4 NH4ClO4 CaBr2 Fe(OH)3 Sodium sulfate Ammonium perchlorate Calcium bromide Iron(III) hydroxide Tetraphosphorous trisulfide P4S3 Na2SO4 NH4ClO4 CaBr2 Fe(OH)3 Sodium sulfate Ammonium perchlorate Calcium bromide Iron(III) hydroxide 11. (8 pts). Write the formula for each of the following compounds. barium phosphate copper(III) oxide magnesium fluoride lithium nitride calcium phosphate Ba3(PO4)2 Cu2O3 MgF2 Li3N Ca3(PO4)2 Co2O3 cobalt(III) oxide magnesium bromide potassium nitride MgBr2 K3N 12. (6 pts) One tablet of a common headache medication typically contains 324 mg of aspirin (C9H8O4). How many molecules of aspirin are you consuming if you take one tablet? ? molecules = 324 mg x 1g 1mol 6.022 x10 23 molecules x x 1.08 x10 21 molecules 3 1mol 10 mg 180.16 g 1g 1mol 6.022 x10 23 molecules ? molecules = 415 mg x 3 x x 1.39 x10 21 molecules 1mol 10 mg 180.16 g 13. (6 pts) The molar mass of glucose (C6H12O6) is 180.2 g/mol. What is the mass of one glucose molecule? g 1molecule x 1mol 180.2 g x 2.992 x10 22 g 23 6.022 x10 molecules 1mol 14. (10 pts) Peroxyacylnitrate (PAN) is one of the components of smog. It is composed of C, H, N, and O. An analysis shows PAN to be composed of 19.8% C, 2.50% H, 11.6% N, and 66.1% O. a. Determine the empirical formula for PAN 19.8 g C x 1 mol/12.011 g = 1.648 mol C 2.50 g H x 1 mol/1.008 g = 2.48 mol H 11.6 g N x 1 mol/14.008 g = 0.83 mol N 66.1 g O x 1 mol/15.9994 g = 4.13 mol O C2H3NO5 b. What is the molecular formula for PAN if its molar mass is around 120 g? Empirical weight of C2H3NO5 = 121 g/mol Factor: 121/120 = 1 Molecular formula = C2H3NO5 15. (8 pts) A certain hydrate of potassium aluminum sulfate (alum) has the formula KAl(SO4)2. xH2O. When a hydrate sample weighing 5.459 g is heated to drive off the water, the mass of the remaining material is 2.583 g. How many waters of hydration are there in alum? Weight of water = 5.459 – 2.583 = 2.876 g Moles of water = 2.87 g x 1 mol/18.01 g = 0.159 mol Moles of alum = 2.583 g x 1 mol/258.195 g = 0.0100 mol KAl(SO4)2 Formula is KAl(SO4)2 . 16 H2O 16. (8 pts) 1.256 g of elemental sulfur is combined with excess fluorine to give 5.722 g of a compound. Calculate the empirical formula for the resulting compound. Mass of F = 5.722 total mass – 1.256 g Sulfur = 4.466 g F Moles S = 1.256 g S x 1 mol S/32.0 g = 0.039 moles S Moles F = 4.466 g F x 1 mol F/19 g = 0.235 moles F Empirical formula is SF6 Other version: Mass of F = 4.239 total mass – 1.256 g Sulfur = 2.983 g F Moles S = 1.256 g S x 1 mol S/32.0 g = 0.039 moles S Moles F = 2.983 g F x 1 mol F/19 g = 0.157 moles F Empirical formula is SF4 17. (8 pts) Analysis of a metal chloride (XCl3) shows that it contains 67.2% Cl by mass. Calculate the molar mass of the metal X and identify the metal. 67.2 g Cl x 1 mol/35.4 g = 1.9 mol Cl moles X = 1.9 mol Cl x 1 mol X/3 mol Cl = 0.633 mol X mass X = 100 g-67.2 g = 32.8 g MM = 32.8 g/0.633 mol = 51.8 g/mol Other version: 62.6 g Cl x 1 mol/35.4 g = 1.768 mol Cl moles X = 1.768 mol Cl x 1 mol X/3 mol Cl = 0.589 mol X mass X = 100 g-62.6 g = 37.4 g MM = 37.4 g/0.589 mol = 63.5 g/mol Extra Credit: The volume of a sphere is 4/3 r3. Calculate the density of the 64Zn nucleus in g/cm3 given that the nuclear radius is 4.8 x 10-6nm and the mass of the atom is 1.06 x 10-22 g. In this problem, you had to: □ convert nm to cm correctly □ find the atomic volume and the nuclear volume □ subtract the nuclear volume from the atomic volume to find the volume of the electrons □ find the mass of the electrons by multiplying the number of electrons (30 fro Zn) by the mass per electron. All components had to be there and done correctly to get points for the extra credit question. (Extra credit is almost always ‘all or nothing’) The volume of the electrons is given as: V 4 1.25 x10 8 cm 3 8.18 x10 24 cm 3 3 and the density is calculated as: d 30 9.11x10 28 g 3.34 x10 3 g / cm 3 8.18 x10 24 cm 3