Chem 1A Chapter 10 Exercises Types of Intermolecular Interactions Type of Interaction Examples London Dispersion N2, F2, CO2, CH4, etc. Melting or Boiling Temperature Low Permanent Dipole-Dipole HCl, HBr, HI, CO, NO, etc. Moderate Hydrogen Bonding H2O, HF, NH3, CH3OH, etc. Moderate to High Metallic Al, Fe, Cu, Zn, etc. High (Variable) Covalent Network Diamond, Sand (SiO2) Very High Ionic LiF, NaCl, MgO, etc. Very High Exercise #1: 1. Identify the primary type of intermolecular interactions in each of the following substances. CuS Xe Li NH2OH BF3 Si 2. Which substance has the higher boiling point, F2 or Cl2; HF or HCl; HCl or NaCl? Explain. 3. Which substance has the higher boiling point: C3H8 or C4H10; CH3OH or CH3Cl; CH3CH2OH or HOCH2CH2OH; ethanol (CH3CH2OH) or dimethyl ether (CH3OCH3)? Explain. 4. Which substance has the higher vapor pressure at any temperature, acetone (CH3COCH3), or ethanol (C3CH2OH)? Explain. 5. Which substance has a higher surface tension and viscosity, ethanol (CH3CH2OH) or ethylene glycol (HOCH2CH2OH)? Explain. 6. Explain the differences in the boiling temperatures of the following compounds. HCl (-85oC), 7. HF (20oC), TiCl4 (136oC), CsCl (1290oC), LiCl (1360oC) Rank each of the following sets of substances in order of increasing boiling point: (a) CH4, SiH4, GeH4, SnH4; (b) NH3, PH3, AsH3, SbH3; (c) H2O, H2S, H2Se, H2Te; (d) HF, HCl, HBr, HI; (e) C2H6, C4H10, C6H14, C8H18; 1 Chem 1A Chapter 10 Exercises Exercise #2: Enthalpy of Vaporization: 1. When 1.75 g of acetone, C3H6O, vaporizes at 298 K, 933 J of heat is absorbed. Calculate the enthalpy of vaporization, Hvap (in kJ/mol), of acetone at 298 K. 2. Calculate the total amount of heat (in kJ) absorbed when 45.4 g of ice, initially at –20.0oC, is completely converted into steam at 120.0oC? (Specific heat (J/g.oC): ice and steam = 2.0; water = 4.184; Hfus = 6.02 kJ/mol; Hvap = 40.6 kJ/mol) 3. A sample of ice at 0.0oC is added to 100.0 g of water at 35.0oC. The final temperature of mixture is 18.5oC. Calculate the mass of ice. (Specific heat (J/g.oC) of water = 4.184; Hfus = 6.02 kJ/mol); 4. The enthalpy of vaporization of Freon (CCl2F2) is 167 kJ/kg at its boiling point (-29.8oC, 1 atm). If the enthalpy of fusion of water at 0oC is 6.02 kJ/mol, how many grams of Freon must evaporate to freeze 45.4 g of water at 0oC? Vapor Pressure and Clasius-Clapeyron Equation: 5. The vapor pressure of liquid A increases by a factor of 2 when its temperature is increased from 300 K to 320 K. The vapor pressure of liquid B increases by a factor 1.5 when its temperature is increased from 300 K to 320 K. (a) Is the heat of vaporization of A higher or lower than that of B? Explain. (b) Which liquid has the higher boiling point, liquid A or liquid B? Explain. 6. The boiling point of iso-octane, C8H18, is 99.2oC and its enthalpy of vaporization, Hvap = 35.76 kJ/mol. Estimate the vapor pressure of iso-octane at 25oC. (Assume that its enthalpy of vaporization stays constant.) 7. Hexane, C6H14, has enthaply of vaporization, Hvap = 30.1 kJ/mol, and at 25oC, its vapor pressure is 148 mmHg. Estimate the boiling point of hexane. 2 Chem 1A Chapter 10 Exercises Exercises #3: Crystal Structure – Atomic solids 1. Platinum crystallizes into a cubic lattice structure that has a total of four Pt atoms per unit cell. (a) What type of unit cell does platinum form? (b) What is the mass of a unit cell of platinum? (c) If the density of platinum is 21.45 g/cm3, what are the edge length of the unit cell and the atomic radius of platinum, respectively? (Express the edge length and atomic radius in picometers.) (1 u = 1.6605 x 10-24 g; 1 pm = 10-10 cm) (Answer: (a) face-centered cubic closest-pack; (b) 780.4 u or 1.296 x 10-21 g; (c) 392.4 pm; 138.7 pm) 2. Iron forms a crystal lattice with body-centered cubic unit cell. If the atomic radius of iron is 126 pm, what is the edge length of the unit cell? If the mass of iron atom is 55.847 u, calculate the density of iron. (1 u = 1.6605 x 10-24 g) (Answer: S = 291 pm; density = 7.53 g/cm3) 3. Gold forms a face-centered cubic unit cell lattice and has a density of 19.32 g/cm3. Calculate the atomic radius of gold. (Atomic mass of gold = 197.0 u) (Answer: 144.1 pm) 4. Calcium has an atomic radius of 197 pm and the density is 1.55 g/cm3. (a) Which type of cubic structure does calcium form? (b) What is the edge length of the unit cell? (Answer: (a) face-centered cubic; (b) 557 pm) 3 Chem 1A Chapter 10 Exercises Crystal Structure – Ionic solids 5. Calcium fluoride forms a crystal structure known as calcium fluorite structure, in which the Ca2+ ions occupy the face-centered cubic lattice points. If the formula of calcium fluoride is CaF2, how many Ca2+ and F- ions, respectively, are present in a unit cell of CaF2? 6. Sodium chloride forms the “rock salt” structure, in which the larger Cl- ions occupy the face-centered lattice points and the Na+ ions fill up the octahedral holes at the center and the middle of edges of the cube. (a) How many Na+ ions and Cl- ions, respectively, are present in one unit cell of NaCl? (b) What are the masses of a unit cell of NaCl in amu and in grams, respectively? (c) How many unit cells are present in 1.00 mole of NaCl? (c) If the ionic radii of Na+ and Cl- are 95 pm and 181 pm, respectively, calculate the volume of a unit cell in pm3 (cubic picometers) and in cm3 (cubic centimeters). (d) What is the density of NaCl in g/cm3? [Note: oppositely charged ions along the edges are touching, but identical ions along the diagonal faces are not. Atomic masses of Na and Cl are 22.99 u and 35.45 u; 1 u = 1.6605 x 10-24 g; 1 pm = 10-10 cm] 7. Cesium chloride forms a cubic crystal in which the Cl- ions occupy the simple cubic lattice points and Cs+ ion occupies the cubic hole at the center of the unit cell. (a) Calculate the mass of a unit cell of CsCl. (b) If the ionic radii of K+ and Cl- are 167 pm and 181 pm, respectively, what is the edge length (in pm) of the cubic unit cell of CsCl. (c) Calculate the density of CsCl (in g/cm3)? (Assume oppositely charged ions along the body diagonal are touching, but identical ions along the edge are not. Atomic masses of Cs and Cl are 132.9 u and 35.45 u; 1 u = 1.6605 x 10-24 g] 8. Zinc sulfide (or zinc blend) forms a face-centered cubic crystal with the sulfide ions occupy the corner and face-center lattice points and zinc ions fill up the “tetrahedral holes” within the unit cell formed by the sulfide ions. (a) What is the formula of zinc sulfide? (b) What is the total number of ions (Zn2+ plus S2-) are present in a zinc blend unit cell? (c) Calculate the mass of the unit cell in amu and in grams, respectively. (d) How many unit cells are present in 1.00 mole of zinc sulfide? 4