Science 10H Review 1. Lab Safety. a) What is the WHMIS symbol for a flammable substance? b) What is the household symbol which means "the contents of the container are flammable"? c) What is the symbol for a radioactive substance? d) What are the three WHMIS symbols which warn of poisons, and what is the difference between them? Class D, Division 1 - Poisonous and infectious material. Acute toxin; immediate and serious toxic effects. Class D, Division 2 - Poisonous and infectious material. Chronic toxin; other toxic effects; may cause cancer or other diseases because of long term exposure. Class D, Division 3 - Poisonous and infectious material. Biohazard; may cause infections and other effects 2. Metric System a) List all prefixes, base units and derived units, along with their values. See tables in your notes. b) How many g are there in 0.62 kg ? 0.62 kg x c) How many L are there in 145 mL ? 145 mL x d) 1000 g = 620 g 1 kg 1L = 0.145 L 1000 mL How many nm are there in 2.11 x 10-6 km ? 2.11 x 10-6 km x e) = 2.11 x 106 nm How many m3 in 14 km3 ? 14 km3 x f) 1012 nm 1 km (1000 m)3 = 1.4 x 1010 m3 (1 km)3 The speed of light is 3.00 x 108 m/s. How far will light travel in 12 days ? 3.00 x 108 m x 60 s x 60 min x 24 h x 12 d = 3.11 x 1014 m s min h d g) An oil tanker ran aground and spilled its cargo of 240 000 barrels of oil. If a barrel of oil contains 42 gallons and a gallon contains 4.0 L, how many litres will the spill contain ? If the oil spreads into a slick 1 mm thick, what will be the area of the oil slick in square kilometres ? 2.4 x 105 barrels x 42 gal x 4.0 L = 4.0 x 107 L of oil barrel gal 4.00 x 107 L x 1000 mL = 4.00 x 1010 mL = 4.00 x 1010 cm3 1L 4.00 x 1010 cm3 x (10 mm)3 = 4.00 x 1013 mm3 (1 cm)3 Area = volume = 4.00 x 1013 mm3 = 4 x 1013 mm2 thickness 1 mm 4 x 1013 mm2 x (1 km)2 (106 mm)2 = 40 km2 h) The annual production of sodium hydroxide in the United States in 1999 was 23.2 billion pounds. i) How many grams of sodium hydroxide were produced in that year? 23.2 billion pounds = 2.32 x 1010 lb. x 1.05 x 1010 kg NaOH x ii) 103 g 1 kg = 1.05 x 1010 kg NaOH = 1.05 x 1013 g NaOH The density of sodium hydroxide is 2.130 g/cm 3. How may cubic kilometers were produced? 1.05 x 1013 g NaOH x i) 1 kg 2.2046 lb 1 cm3 2.130 g x (1 km)3 (105 cm)3 = 4.94 x 10-3 km3 A quarter has a mass of 5.67 g and is approximately 1.55 mm thick. i) How many quarters would have to be stacked to reach the height of the Peace Tower in Ottawa, 92.0 m? 1 quarter 1.55 mm ii) x 103 mm 1 m How much would the stack weigh? 5.94 x 104 quarters x iii) 5.67 g 1 quarter = 3.37 x 105 g How much money would the stack contain? 5.94 x 104 quarters x iv) x 92.0 m = 5.94 x 104 quarters $1.00 4 quarters = $1.48 x 104 ($14 800) The Canadian total debt is about 4 trillion dollars. How many of these stacks of quarters would be required to pay this debt? $4 trillion = $4 x 1012 x 1 stack $1.48 x 104 = 3 x 108 stacks of quarters (300 million) 3. Significant Digits a) b) 4. Perform the following additions and subtractions: i) 22.26 g + 19.1 g 41.4 g iv) 2500 L - 155 L 2300 L ii) 100.1 L + 0.025 L 100.1 L v) 1.236 mol - 0.33 mol 0.91 mol iii) 8.21 mL + 2.79 mL 11.00 mL vi) 19 mol - 18.75 mol 0 mol Perform the following multiplications and divisions i) 233 g / 15.36 g/mol 15.2 mol iv) 13.1 mol x 44.01 g/mol 577 g ii) 1.59 mol / 0.12 L 13 mol/L v) 22 L x 2.145 mol/L 47 mol iii) 16 g x (1 kg / 1000 g) 0.016 kg vi) 100 g / 18.02 g/mol 5 mol Graphing a) Make a graph of the following data. Use graph paper and include all the components of a good graph. Put volume on the x-axis. Draw a best-fit line. Calculate the slope. What does the slope of this line represent? Identify the element of which these blocks were made. volume of a block (cm3) mass of the block (g) 2.0 5.5 4.0 10.7 6.0 16.2 8.0 21.5 10.0 26.8 15.0 40.5 25.0 68.0 b) Make a graph of the following data. Use graph paper and include all the components of a good graph. Put distance on the x-axis. Draw a best-fit line. distance from planet (km) Gravity (N) 0 9.8 100 9.5 150 9.4 200 9.2 300 8.9 500 8.4 1000 7.3 5000 3.1 10000 1.5 c) Measurements were taken of small cylinders of an unknown metal: Radius of Circular End (mm) Length (cm) 4.0 4.0 4.0 4.6 4.6 4.6 i) 1.55 2.65 4.00 3.15 4.50 5.80 Mass (g) 15.06 25.75 38.87 40.47 57.82 74.52 Calculate the volume of each cylinder. Volume is equal to the area of the end of the cylinder multiplied by the length: V = lπr2 Radius (mm) Length (cm) 4.0 4.0 4.0 4.6 4.6 4.6 ii) Volume (cm3) 1.55 2.65 4.00 3.15 4.50 5.80 0.80 1.3 2.0 2.1 3.0 3.9 Mass (g) 15.06 25.75 38.87 40.47 57.82 74.52 Make a graph with volume on the x-axis. See end of file iii) Calculate the slope of the line. Slope = rise = run iv) y2 - y1 = 74.52 g - 15.06 g x2 - x1 3.9 cm3 - 0.8 cm3 = 19.2 g/cm3 (20 g/cm3) What is the significance of the slope of the graph ? Can you identify the metal ? The units of grams per cubic centimeter are the units of density, a characteristic physical property. This density corresponds to that of gold. 5. Nomenclature a) Give the formulas for the following substances: i) ii) iii) iv) v) magnesium hydroxide sodium hydrogen carbonate aluminum oxide calcium oxide hexahydrate phosphorus pentaoxide Mg(OH)2 NaHCO3 Al2O3 CaO · 6 H2O PO5 vi) vii) viii) ix) x) iron (III) phosphate lime ethanol nitric acid lead (II) sulfate FePO4 CaO C2H5OH HNO3 Pb(SO4)2 b) c) Give the name for the following compounds: i) NaCl sodium chloride ii) NH3 ammonia iii) CaSO4 calcium sulfate iv) N2O4 dinitrogen tetraoxide v) NaH sodium hydride vi) Ca(OH)2 ·5 H2O calcium hydroxide pentahydrate vii) MnO2 manganese (IV) oxide viii) CO2 carbon dioxide ix) NH4NO3 ammonium nitrate x) CH3COOH acetic acid Draw the structures for the following: i) propane v) 2-methyl-3-heptene ii) phenol vii) 1,1-dichloro-2-methyl-3-pentanol iii) 2-butyne viii) 1,2-difluoro-3,3-diiodocyclohexane 7 iv) ethyl propanoate ix) butanamide v) diethyl ether x) pentanoic acid H d) H H C C H H H H O C C H H H propene 1-fluoro-3-chloropentane 1-hexadecyne butylamine 1,1,2-trifluoro-1,2,2-trichloroethane 1-hexyn-6-ol 4-heptanol 3,4-dimethyl-2-pentene propanone ethanal 2-chloro-4-fluorocyclohexene toluene 8 6. Atomic Theory a) Describe the nature and role of the proton, neutron, and electron in the atom. Proton Neutron Electron Location in the nucleus. Cannot leave in the nucleus. Cannot leave in orbit about nucleus. Can be added to or taken away from atom Charge positive (1+) neutral (0) negative (1-) Mass large equal to proton insignificant Role in the Atom - number of protons determines atomic number. - gives the identity of the atom - with protons determines the mass number of the atom; determines the isotope - mediates strong nuclear force; holds nucleus together - with protons determines atomic charge - responsible for chemical and physical properties of an element. b) List the diatomic elements, as well as the two other polyatomic elements. H2 N2 O2 F2 Cl2 Br2 I2 At2 S8 P4 c) Determine the number of protons and electrons in the following: (i) Ca2+ 20 protons, 18 electrons (ii) Ar 18 protons, 18 electrons (iii) P3- 15 protons, 18 electrons (iv) Mn6+ 25 protons, 19 electrons d) 9 Make a table that gives the name, the complete symbol (including atomic number, mass number and charge), number of protons, neutrons and electrons, mass number, atomic number and charge for each of the following: (i) (ii) (iii) (iv) (v) (vi) (vii) (viii) Name Calcium 20 protons, 20 neutrons, 18 electrons 33 protons, 40 neutrons, 36 electrons atomic number 52, mass number 128, charge 2atomic number 23, mass number 51, charge 5+ mass number 137, 54 electrons, charge 2+ mass number 227, 86 electrons, charge 3+ atomic number 79, mass number 196, charge 0 atomic number 25, mass number 55, 18 electrons Symbol 40 Ca2+ # Protons # Electrons # Neutrons Atomic Number 20 Charge 20 Mass Number 40 20 18 33 36 40 73 33 3- 52 54 76 128 52 2- 23 18 28 51 23 5+ 56 54 81 137 56 2+ 89 86 138 227 89 3+ 79 79 117 196 79 0 25 18 30 55 25 7+ 2+ 20 Arsenic 73 As3- 33 Tellurium Vanadium 128 Te2- 52 51 5+ V 23 Barium 137 Ba2+ 56 Actinium 227 Ac3+ 89 196 Gold Au 79 Manganese 55 Mn7+ 25 e) Write the symbols for the following atoms or ions; indicate the type of ion: i) 13 protons, 10 electrons ii) 80 protons, 78 electrons f) Al3+ Hg2+ iii) 54 protons, 54 electrons iv) 34 protons, 36 electrons Determine the number of protons and neutrons in the following: i) 238 U 92 (ii) 14 C (iii) 6 i) 92 protons, 146 neutrons ii) 6 protons, 8 neutrons iii) 10 protons, 11 neutrons iv) 25 protons, 22 neutrons 21 Ne 10 (iv) 47 Ti 25 Xe Se2- 10 g) Given the following data calculate the average atomic mass of silver: Isotope Mass(amu) Abundance (%) Ag-107 Ag-109 106.90509 108.90476 51.840 48.160 Ave. Mass = (51.840%/100)(106.90509 amu) + (48.160%/100)(108.90476 amu) = 107.87 amu h) Given the following data calculate the abundance of each isotope of boron: Isotope Mass (amu) Abundance (%) B-10 B-11 10.0129 11.0093 20.00 80.00 Average mass of boron is 10.81 amu 10.81 amu = (x)(10.0129 amu) + (1 - x)(11.0093 amu) 7. x Heat = 0.2000 Following is a list of the specific heats of several materials Aluminum Copper Ethylene glycol Gold Ice Iron a) 0.13 0.98 2.50 0.92 2.10 0.80 Silver Water Water vapour Zinc 0.24 4.18 1.87 0.39 to to to to heat 150 g of water from 14°C to 36°C cool 16 kg of sand from 45°C to 4.0°C increase the temperature of 351 g of gold 101°C decrease the temperature of 89 g paraffin oil 55°C 1.4 x 104 J - 5.2 x 105 J 4600 J 1.0 x 104 J Calculate the temperature change: i) ii) iii) c) Lead Magnesium Methanol Oxygen Paraffin oil Sand Calculate the amount of energy, in Joules, required for the following: i) ii) iii) iv) b) 0.90 0.39 2.20 0.13 2.06 0.45 (in J/g·°C): if 4.5 kg of aluminum receives 780 J of energy if 335 g of iron receives 16 kJ of energy if 78.5 kg of silver loses 14.1 kJ of energy 0.19 °C 110 °C - 0.75 °C Calculate the mass: i) ii) if 560 J of energy causes the temperature of copper to rise 67°C 21 g if a loss of 7 kJ of energy causes the temperature of lead to go from 246°C to 182°C 800 g 11 Following is a list of heats of fusion and vapourization of several substances: Heat of fusion (J/g) water methanol ethanol hexane toluene d) 2260 1076 855 335 363 Calculate the heat required: i) ii) iii) iv) e) 333 100 109 152 72 Heat of vapourization (J/g) to to to to melt 678 g of hexane freeze 8.1 kg of methanol boil 780 g of ethanol condense 224 kg of toluene 1.03 x 105 J - 8.10 x 105 J 6.7 x 105 J - 8.13 x 107 J Calculate the heat required: i) to change 569 g of ice at -35.0°C to steam at 172°C Heat ice: Melt ice: Heat water: Boil water: Heat steam: (2.06 J/g °C)(569 g)(0 °C - (-35.0 °C)) (333 J/g)(569 g) (4.18 J/g °C)(569 g)(100 °C - 0 °C) (2260 J/g)(569 g) (1.87 J/g °C)(569 g)(172 °C - 100 °C) 4.10 x 104 J 1.89 x 105 J 2.38 x 105 J 1.29 x 106 J 7.7 x 104 J = 1.84 x 106 J Total: ii) = = = = = to change 3.55 kg of water at 45°C to ice at -15°C 3.55 kg x 1000 g = 3550 g 1 kg Cool water: Freeze water: Cool ice: Total: (4.18 J/g °C)(3550 g)(0 °C - 45 °C) (-333 J/g)(3550 g) (2.06 J/g °C)(3550 g)((-15 °C) - 0 °C) = - 6.7 x 105 J = - 1.18 x 106 J = - 1.1 x 105 J = 1.96 x 106 J 12 8. Light Speed of light = wavelength x frequency c = λν Energy of light = Planck’s constant x frequency E = hν i. 4.50 x 10-7 m 6.1 x 10-7 m 2.11 x 10-12 m 1.6 x 10-5 m (6.67 x 1014 Hz, blue) (4.9 x 1014 s-1, orange) (1.42 x 1020 1/s , gamma rays) (1.9 x 1013 Hz, infrared) (4.42 x 10-19 J) (3.3 x 10-19 J) (9.42 x 10-14 J) (1.2 x 10-20 J) Calculate the wavelength of each of the following frequencies, and indicate the ‘colour’ of the light: a) b) c) d) iii. h = 6.626 x 10-34 J·s Calculate the frequency of each of the following wavelengths of light, and indicate the ‘colour’ of the light: a) b) c) d) ii. c = 3.00 x 108 m/s 4.44 x 1014 Hz 7.4 x 1014 s-1 9.3 x 1016 1/s 3.66 x 1015 Hz (6.76 x 10-7 m, red) (4.1 x 10-7 m, violet) (3.2 x 10-9 m, x-rays) (8.19 x 10-8 m, ultraviolet) Calculate the energies of each of the waves of light from questions 1 & 2 (2.94 x 10-19 J) (4.9 x 10-19 J) (6.2 x 10-17 J) (2.42 x 10-18 J) 13 Mass of an Unknown Metal as a Function of Volume 80 3.9, 74.52 70 60 3, 57.82 Mass (g) 50 2.1, 40.47 2, 38.87 40 30 1.3, 25.75 20 0.8, 15.06 10 0 0 0.5 1 1.5 2 2.5 Volume (cm3) 3 3.5 4 4.5 14 6. Sustainability a) Can humans occupy more than 1 trophic level ? Explain. Yes. As omnivores we are first consumers when we eat plant matter. We are second order consumers when we eat cows, pigs or chickens. We eat carnivores when we eat fish. b) From the list below identify the producers, herbivores, carnivores, omnivores and detritovores. frog cow garter snake aphid mouse house fly earth worm c) algae pig gopher honey bee beaver spider bacteria hawk grass grasshopper rabbit wheatgrass dung beetle fox grass wheatgrass wild oats honey bee beaver grasshopper Producer: algae Herbivore: cow aphid squirrel Carnivore: frog Omnivore: house fly earth worm pig Detritovore: bacteria dung beetle bread mold garter snake spider hawk fox gopher Make a food web using at least 16 species from the list above. deer squirrel lady bug coyote wild oats bread mold owl rabbit deer lady bug coyote owl 15 d) Why are there more herbivores than top carnivores ? Energy is lost at each trophic level. Roughly 90% of the energy from one trophic level does not make it up to the next level because animals use most of their energy to fuel daily metabolic processes. Therefore there has to be at least 10x as many organisms at one level to support the animals above. e) What are factors that affect the carrying capacity of any environment ? Materials and energy Food chains (see d)) Competition Density 16 f) If all humans became herbivores, discuss the impact on the environment. Include energy transfer in your discussion. More energy would be available for human populations or for organisms we share the planet with. We would not raise animals for food, so land could be left wild. The oceans would not be harvested so marine and aquatic ecosystems would be left intact. Other ideas are also valid. g) Discuss succession. Any new environment will quickly be populated by pioneer species that can get by with little in the way of soil or nutrients. This is called primary succession. They act to collect some of these factors so that other species can be supported and so new species appear over the course of time. Finally a climax community is established. These species will remain intact until some event occurs to disturb it (fire, flood). Secondary succession will begin to reestablish the climax community. h) What factors can you (or your family) control which would reduce the size of your ecological footprint ? What factors are out of your control ? In your control: size of house number, size, and age of cars amount of driving number and age of clothes amount of “stuff” water use etc Not in your control: actions of city, province and federal governments actions of industry actions of agriculture actions of friends and neighbors (all can be affected by getting involved in community and political action) 17 7. Weather Following is a list of the specific heats of several materials Aluminum Copper Ethylene glycol Gold Ice Iron a) 0.13 0.98 2.50 0.92 2.10 0.80 Silver Water Water vapour Zinc 0.24 4.18 1.87 0.39 to to to to heat 150 g of water from 14°C to 36°C cool 16 kg of sand from 45°C to 4.0°C increase the temperature of 351 g of gold 101°C decrease the temperature of 89 g paraffin oil 55°C 1.4 x 104 J - 5.2 x 105 J 4600 J 1.0 x 104 J Calculate the temperature change: i) ii) iii) c) Lead Magnesium Methanol Oxygen Paraffin oil Sand Calculate the amount of energy, in Joules, required for the following: i) ii) iii) iv) b) 0.90 0.39 2.20 0.13 2.06 0.45 (in J/g·°C): if 4.5 kg of aluminum receives 780 J of energy if 335 g of iron receives 16 kJ of energy if 78.5 kg of silver loses 14.1 kJ of energy 0.19 °C 110 °C - 0.75 °C Calculate the mass: i) ii) if 560 J of energy causes the temperature of copper to rise 67°C 21 g if a loss of 7 kJ of energy causes the temperature of lead to go from 246°C to 182°C 800 g Following is a list of heats of fusion and vapourization of several substances: Heat of fusion (J/g) water methanol ethanol hexane toluene d) 333 100 109 152 72 Heat of vapourization (J/g) 2260 1076 855 335 363 Calculate the heat required: i) ii) iii) iv) to to to to melt 678 g of hexane freeze 8.1 kg of methanol boil 780 g of ethanol condense 224 kg of toluene 1.03 x 105 J - 8.10 x 105 J 6.7 x 105 J - 8.13 x 107 J 18 e) Calculate the heat required: i) to change 569 g of ice at -35.0°C to steam at 172°C Heat ice: Melt ice: Heat water: Boil water: Heat steam: (2.06 J/g °C)(569 g)(0 °C - (-35.0 °C)) (333 J/g)(569 g) (4.18 J/g °C)(569 g)(100 °C - 0 °C) (2260 J/g)(569 g) (1.87 J/g °C)(569 g)(172 °C - 100 °C) Total: ii) = = = = = 4.10 x 104 J 1.89 x 105 J 2.38 x 105 J 1.29 x 106 J 7.7 x 104 J = 1.84 x 106 J to change 3.55 kg of water at 45°C to ice at -15°C 3.55 kg x 1000 g = 3550 g 1 kg Cool water: Freeze water: Cool ice: Total: f) (4.18 J/g °C)(3550 g)(0 °C - 45 °C) (-333 J/g)(3550 g) (2.06 J/g °C)(3550 g)((-15 °C) - 0 °C) = - 6.7 x 105 J = - 1.18 x 106 J = - 1.1 x 105 J = 1.96 x 106 J Contrast conduction, convection and radiation. How do they affect the energy budget of the Earth ? Conduction: Convection: Radiation: the transfer of energy directly from atoms with more energy to atoms with less. energy is transferred by the motion of atoms from one place to another. energy is transferred via electromagnetic waves. The Earth receives energy from the sun primarily via radiation. This energy is distributed to the air, earth and water. In the atmosphere the energy is transferred via convection, but conduction and radiation are important because atoms come into contact and heat is radiated from one atom to another. This heat drives convection and causes weather. The oceans also convect heat through currents, carrying heat from the equator to the poles. Land receives energy via radiation and conduction, but solids do not convect heat. The energy of the sun drives all weather, air currents and ocean currents. We receive radiation in a variety of forms and transform energy into a variety of forms, but generally the Earth radiates this energy back out into space. We radiate out as much energy as we receive each day. g) Make a graph of the data found in table 13.4 on page 431 of your text. Put temperature on the x-axis. See end of file. 19 h) i) Why is it cooler at the poles than at the equator ? The poles are at a greater angle to the sun’s rays than the equator; the sunlight is more diffuse. Because of the tilt of Earth’s axis the poles receive fewer hours of sunlight over much of the year. Snow cover increases albedo; more energy is reradiated back out into space than occurs at the equator. 20 j) Describe the wind patterns on the globe. Why do they occur as they do ? See text, page 466. These patterns occur because the Earth is a large rotating sphere which causes the north-south circulation of the atmosphere to form a fairly complicated pattern. k) Discuss the coriolis effect. Use it to be able to predict the prevailing wind direction at any given latitude. See text, pages 462 to 466. l) What is a characteristic physical property ? What such properties have we dealt with in class this term ? This is a property that can be used to identify a substance. Melting temperature Density m) Boiling temperature Specific heat Light Speed of light = wavelength x frequency c = λν Energy of light = Planck’s constant x frequency E = hν c = 3.00 x 108 m/s h = 6.626 x 10-34 J·s i. Calculate the frequency of each of the following wavelengths of light, and indicate the ‘colour’ of the light: a) b) c) d) 4.50 x 10-7 m 6.1 x 10-7 m 2.11 x 10-12 m 1.6 x 10-5 m ii. Calculate the wavelength of each of the following frequencies, and indicate the ‘colour’ of the light: a) b) c) d) 4.44 x 1014 Hz 7.4 x 1014 s-1 9.3 x 1016 1/s 3.66 x 1015 Hz iii. Calculate the energies of each of the waves of light from questions 1 & 2 (6.67 x 1014 Hz, blue) (4.9 x 1014 s-1, orange) (1.42 x 1020 1/s , gamma rays) (1.9 x 1013 Hz, infrared) (6.76 x 10-7 m, red) (4.1 x 10-7 m, violet) (3.2 x 10-9 m, x-rays) (8.19 x 10-8 m, ultraviolet) (4.42 x 10-19 J) (3.3 x 10-19 J) (9.42 x 10-14 J) (1.2 x 10-20 J) (2.94 x 10-19 J) (4.9 x 10-19 J) (6.2 x 10-17 J) (2.42 x 10-18 J) 21 Relationship Between Temperaure and Humidity 60 Mass of Water Vapour (g) in 1.0 kg of Air 50 40 30 20 10 0 -30 -20 -10 0 10 Temperature (degrees C) 20 30 40 50 22 Mass of an Unknown Metal as a Function of Volume 80 3.9, 74.52 70 60 3, 57.82 Mass (g) 50 2.1, 40.47 2, 38.87 40 30 1.3, 25.75 20 0.8, 15.06 10 0 0 0.5 1 1.5 2 2.5 Volume (cm3) 3 3.5 4 4.5