Supplemental Problem Set #1 1. Complete the following conversions using the appropriate number of significant figures. Hint: For metric conversions always use the following roadmap: old unit base unit a. 4.57 inches to meters 4.57 in x 2.54 cm 0.01 m x 0.116 m 1 in 1 cm b. 7.8 L to µL 7.8 L x 1 L 7.8 x 10 6 L -6 1 x10 L c. 0.0000215 gallons to ml 0.0000215 gal x 4 qt 1 gal x 946 ml 1 qt 0.0814 ml d. 4.00 mile3 to cm3 3 3 3 1.61 km 1000 m 1 cm 16 3 4.00 mile x x x 1.67 x 10 cm 1 mile 1 km 0.01 m 3 e. 9.050 lbs. to mg 9.050 lbs x 454 g 1mg x 4.109 x 10 6 mg 1lb 0.001 g f. 5.5 days to seconds 5.5 days x 24 h 1 day x 60 min 1h x 60 s 1min 4.8 x 10 5 s g. 75°F to K (75 o F 32) 24 o C ; 24C + 273 = 297 K 1 .8 2. The average African humming bird can flap its wings 15 times per second. How many flaps could a humming bird flap if a humming bird could flap 2.5 hours nonstop? 60 min 60 s 15 flaps 2.5 h x x x 1.4 x 10 5 flaps 1h 1 min 1s 3. The average respiration rate of a newborn infant is about 30 breaths per minute. The average volume of each breath is 125 ml. How many liters of air does a newborn breath in 3.0 weeks. 3.0 weeks x 7 days 24 h 60 min 30 breaths 125 ml 1L x x x x x 1.1 x 10 5 L 1 week 1 day 1h 1min 1breath 1000 ml 4. An unknown solid has a mass of 27.35 g. A graduated cylinder is filled with 50.0 ml of water and the solid is then added. The final volume in the cylinder is 74.3 ml. What is the density of the unknown solid? Solid volume: 74.3 ml – 50.0 ml = 24.3 ml density mass 27.35 g 1.13 g ml volume 24.3 ml 5. A liquid has a density of 3.54 g/ml. What is the volume of 75.0 g of this liquid? 75.0 g x 1ml 21.7 ml 3.45 g 6. Write the complete electron configuration and electron diagram for oxygen. Do not use noble gas shorthand. Write the Lewis structure for oxygen. O: 1s22s22p4 O: 1s2s2p _ _ O 7. Write the complete electron configuration and electron diagram for tin. Write the Lewis structure for tin. Sn: [Kr]5s24d105p2 Sn: [Kr]5s4d 5p __ Sn 8. a) Calculate the average relative atomic weight for unknown element R given the following data: mass relative abundance 112 R 111.9872 amu 64.23% 48 113 48 R 112.9787 amu 28.73% 114 48 R 113.9929 amu 7.04% 112 48 R: 111.9872 amu x 0.6423 = 71.93 amu 113 48 R: 112.9787 amu x 0.2873 = 32.46 amu 114 48 R: 113.9929 amu x 0.0704 = 8.03 amu 112.42 amu b) Determine the number of protons, neutrons, and electrons in 112R and identify R. 112 48 R: p+ = 48, e- = 48, n = 64 R = Cd 9. Give a complete and detailed description of the three states of matter. See notes. 10. Name the following compounds: a) Na2SO3 sodium sulfite b) K2CO3 potassium carbonate c) Li3PO4 lithium phosphate d) Fe(NO3)3 iron (III) nitrate 11. Determine formulas from the following names: a) phosphorus pentachloride PCl5 b) copper(II) bromide CuBr2 c) iron (III) phosphate FePO4 d) mercury (II) nitrate Hg(NO3)2 e) dinitrogen tetraoxide N2O4 12. Write an equation for the complete ionization of the following compounds: a) sulfuric acid H2SO4 2H+ + SO42- b) nitric acid HNO3 H+ + NO3- c) calcium hydroxide Ca(OH)2 Ca2+ + 2OH- d) aluminum sulfate Al2(SO4)3 2Al3+ + 3SO42- e) phosphoric acid H3PO4 3H+ + PO43-