Laboratory measurements are made by reading all digits on the instrument, and estimating one digit. • All the digits of a measurement that you are sure of (markings on the instrument) plus one estimated digit. • Used to express limitations in a measurement. Rules for significant digits. • Nonzero digits are always significant. – Example: 5.67 • All final zeros used after the decimal point are significant. – Example: 5.60 • Zeros between two other significant digits are always significant. – Example: 5006, 5.006 • Zeros used solely for spacing the decimal point are not significant. – Example: 56,100 , 0.566 , .0561 Significant zeros If a zero is used only to place the decimal, it is NOT significant. Examples: • Desk measures 32.10 cm – What is the last marking on the instrument? – How many significant figures in this number. • Counting numbers are exact whole numbers. – 30 people in the room – $20.05 dollars in my pocket Reading a Measurement A) 720.29g B) 722.9 g C.) 722.90 g D.) 723 g Reading a Measurement A.) 200 g B.) 200.5 g C.) 200.55 g D.) 20.5g Reading a Measurement A.) 76.0 ml B.) 76 ml C.) 77 ml D.) 75.00 ml Reading a Measurement A.) 47 ml B.) 47.00 ml C.) 47.0 ml D.) 44 ml Reading a Measurement A.) 3.44 ml B.) 3.4 ml C.) 3.50 ml D.) 3.5 ml E.) 3.48 ml Lec Sup #1 How many significant figures are in the measurement 405cm? A) 0 B) 1 C) 2 D) 3 E) 4 Lec Sup #2 How many significant figures are in the measurement 3.208 cm? A) 0 B) 1 C) 2 D) 3 E) 4 Lec Sup #3 How many significant figures are in the measurement 3000 cm? A) 0 B) 1 C) 2 D) 3 E) 4 Lec Sup #4 How many significant figures are in the measurement .0045 cm? A) 0 B) 1 C) 2 D) 3 E) 4 Lec Sup #5 How many significant figures are in the measurement .0450 cm? A) 0 B) 1 C) 2 D) 3 E) 4 Rules for calculating with significant figures. Addition or subtraction Your final answer may contain no more places after the decimal than your least known quantity. (Round the answer so that it has the same number of decimal places as the measurement having the fewest decimal places.) Example: 42.253 mL 125.6 mL 1.75 mL 169.603 mL *Answer can only have as many places to the right of the decimal as that of the known quantity with the least: = 169.6 mL Multiplication and division Your final answer may have no more total Significant digits than your known quantity with the least number of significant figures. Example: 62 cm x 33.03 cm = 2047.86 cm2 *only good to 2 figs 2.0 x 10 3 cm2 Rules for rounding off Look at digit to the right of digit to be rounded. IF: • Greater than or equal to 5 round up, less than 5 leave. Lec Sup #6 Round to three significant figures. 8.7257cm = A) 8.7300 B) 8.7200 C) 8.72 D) 8.73 E.) 8.73 X 104 Lec Sup #7 Round to three significant figures. 125.699cm = A) 126.00 B) 125 C) 126 D) 125.00 E.) 130. Lec Sup #8 Round to three significant figures. 124,292 = A) 124 B) 124,000 C) 120,000 D) 1.20 X 104 E.) 125,000 Lec Sup #9 Example: If 4.383 g of oxygen combine with 0.0023 g of carbon, what’s the mass of the resulting compound? A)4.4 g 4.383 g 0.0023 g 4.3853 g B)4.38 g C)4.385 g D)4.3853 g E)4.39 g Lec Sup #10 Example: If a line of 1.0 x 108 water molecules is 1.00 inches long, what is the average diameter, in millimeters of a water molecule? 1.00 inch 2.54 cm 1 m 1000 mm 1.0 x 108 molecules 1 inch 100 cm 1 m = 2.54 x 10-7 = 2.5 x 10-7 Lec Sup #11 A student places 28.70 g of iron, 0.3807 oz of aluminum, and 0.00389 lb of copper in a beaker that weighs 138 g. What is the total mass in grams of the beaker and its contents? A)179.27 g Note: conversions will count in sig B) 179.3 g fig analysis if the conversion is not C) 179 g exact. For instance metric to english (1lb is approx 454 g). But not in the D)180 g case of exact conversions (1 lb is E) 200 g exactly 16 oz #11 A student places 28.70 g of iron, 0.3807 oz of aluminum, and 0.00389 lb of copper in a beaker that weighs 138 g. What is the total mass in grams of the beaker and its contents? 0.3807 oz 1.00 lb 454 g = 10.8 gAl 28.70 g 16 oz 1.00 lb 10.8 g 1.77 g 0.00389 lb 454 g = 1.77 gCu 138 g 1.00 lb 179.27 = 179 g Lec Sup #12 A girl needs to reflux a mixture for 9.85 hours. How long must the mixture reflux in minutes? 9.85 h 60 min 1h A)= 591 min B)= 600 min C)= 590 min Lec Sup #12 A girl needs to reflux a mixture for 9.85 hours. How long must the mixture reflux in minutes? 9.85 h 60 min 1h A) Exact conversions do not dictate the number of significant figures in answer since infinitely significant. Lec Sup #13 A group of chemistry students are instructed to measure a 0.75 m length of magnesium ribbon and a .100m length of ribbon. How long will the total ribbon be in mm? A).850mm If multiple operations, calc sig figs through B)850mm order of operations to see 2 C)8.50 X 10 mm how answer should be reported. A group of chemistry students are instructed to measure a 0.75 m length of magnesium ribbon and a .100m length of ribbon. How long will the total ribbon be in mm? 0.75 m + .100m = .85m .85m 1000 mm = 850 mm 1m Accuracy & Precision Accuracy: how close a measurement is to the true value of the quantity that was measured. Precision: (1) how closely two or more measurements of the same quantity agree with one another as well as (2) the degree of exactness. • Chemistry: –Study of matter and changes in matter • Matter –Anything that occupies space and has mass • Pure Substance: –Form of matter that has a constant composition and distinct properties. • Mixture: –Combination of 2 or more substances in which the substances retain their distinct identities. Types of Mixtures • Homogeneous: –Composition of mixture is the same throughout. (solutions) • Heterogeneous: –Composition is not uniform (suspensions) Types of Pure Substances • Element: – Substance which cannot be separated into simpler substances by chemical means. • Compound: Na, K, Cl – Composed of atoms of 2 or more elements chemically fixed in definite proportions. C6H12O6 Classification of Matter All Matter Mixtures Solutions Heterogeneous Mixtures Pure Substances Elements Compounds Example 14: Classify Dry Ice as one of the following (a) an element, (b) a compound, (c) or a mixture: Example14: Classify gasoline as one of the following (a) an element, (b) a compound, (c) or a mixture: Example 14: Classify air as one of the following (a) an element, (b) a compound, (c) or a mixture: Example 14: Classify blood as one of the following (a) an element, (b) a compound, (c) or a mixture: Example 14: Classify methane as one of the following (a) an element, (b) a compound, (c) or a mixture: Example 14: Classify Iodine as one of the following (a) an element, (b) a compound, (c) or a mixture: Similar properties on the periodic table • Families(groups)/Periods • Oxidation numbers • Polyatomic ions • metals, nonmetals, and metalloids • Chemical • Physical • Extensive • Intensive • Macroscopic • Microscopic Lec Supplement 15: The following are properties of the element silicon; classify them as (a) physical intensive, (b) physical extensive, (c) or chemical properties: _______ Melting point, 1410oC Lec Supplement 15: The following are properties of the element silicon; classify them as (a) physical intensive, (b) physical extensive, (c) or chemical properties: _______ Reacts with fluorine to form silicon tetrafluoride Lec Supplement 15: The following are properties of the element silicon; classify them as (a) physical intensive, (b) physical extensive, (c) or chemical properties: _______ Gray Lec Supplement 15: The following are properties of the element silicon; classify them as (a) physical intensive, (b) physical extensive, (c) or chemical properties: _______ Not affected by most acids Matter Changes • Physical change: does not change the identity (composition) of substance • Chemical change: changes chemical composition (identity of substance) • both involve energy transformation • endothermic: absorb energy • exothermic: release energy Lec Sup 15b.) Classify each of the following as a chemical or physical change. Boiling Water A) Chemical Change B) Physical Change Tearing Clothes A) Chemical Change B) Physical Change Lighting a Match A) Chemical Change B) Physical Change A Rusting Nail A) Chemical Change B) Physical Change Melting Ice Cream A) Chemical Change B) Physical Change Metabolizing Food for Energy A) Chemical Change B) Physical Change Finger Nails Growing A) Chemical Change B) Physical Change Frying an Egg A) Chemical Change B) Physical Change Sweat evaporating from your forehead A) Chemical Change B) Physical Change A balloon pops due to the expansion of air A) Chemical Change B) Physical Change Dissolving of Toluene in Carbon Tetra Chloride A) Chemical Change B) Physical Change Terms to know: • Group/Period • Metals/nonmetals/metalloids • Alkali metals, Alkaline earth metals, Chalcogens, Halogens, and Noble gases (rare gases) • Molecule: –2 or more atoms tightly bound together. • Molecular Compound: –Compounds made up of molecules & contain more than 1 type of atom. Molecule- A neutral group of atoms that act as a unit. a) In molecules atoms always combine in simple whole number ratios, therefore their proportions by mass must always be the same. Molecular Compounds compounds composed of molecules • low melting and boiling points • many exist as gases or liquids at room temperature • Most are composed of 2 or more nonmetallic elements Ionic Compounds composed of cations(+) and anions(-) • Difference in charges holds them together. • ions are arranged in orderly 3dimensional pattern. • Each cation is between two or more anions. • Most are crystalline solids at room temperature. • Usually formed from a metallic and nonmetallic element. Ionic Charges of Elements • You should know the table in your handout.(grp. 1A,2A,3A,5A,6A,7A) • Also remember: 1+ 2+ Ni Ag Cd 2+ Zn 2+ • Transition metals and group 4A and 5A metals have multiple ionic charges (oxidation numbers) Formula writing and compound naming summary 1.) Classify the compound as: ionic or molecular 2.) If the compound is ionic : CATION first name ANION last name Naming binary Ionic compounds • Cation(no prefix) then the anion root plus ide. • HCl (contains cation hydrogen therefore ionic rules) LS: Name the following 1. CaCl2 2. NaF 3. BaO A.)Two naming systems for transition metals 1.) Stock System Uses roman numerals i.e. Copper(II) = Cu+2 2.) Classic system Uses suffixes ous and ic. ous = lower charge; ic = higher Name the following using the classic naming system 4. FeO 5. Fe2O3 6. CuCl2 Name the following using the stock naming system 7. CuF2 8. FeCl3 Polyatomic IonsTightly bound groups of atoms that behave as a unit and carry a Charge. • During reactions, these atoms usually stay together. • Notice some have ite / ate pairs • ite indicates one less oxygen than the ate. Naming Ternary compounds • Contain atoms of 3 different elements-one is typically a metal • Usually have 1 or more polyatomic ions. • Name using Ionic procedures. However the ending of the name of the polyatomic ion is not changed. • Magnesium chloride MgCl2 How do you know the subscript? +2 Mg -1 Cl • Formula Unit- lowest whole number ratio of ions in an ionic compound. (also called empirical formula) Magnesium Chloride (MgCl2) 1:2 Ratio Mg to Cl Molecule must be neutral so balance oxidation states 3.) If the compound is molecular, classify as an acid or nonacid. 4.) If a nonacid, Prefix + element Prefix + root name + -ide first name last name 5.) If an acid, classify as nonoxyacid or oxyacid. Naming binary molecular - Element on left preceded by a prefix of how many atoms. -Element on the right preceded by prefix of how many atoms and ide at the end. P2O5 1=mono etc... Name the following 9. N2O5 10. PCl3 11. N2O4 -When there is 1 atom of the first element, omit the prefix mono. -Binary molecular compounds containing hydrogen as the first element are named by the ionic system. 6.) If it is a nonoxoacid, hydro + root name + ic acid HCl, HI, HCN, H2S Hydrochloric acid, Hydroiodic acid, Hydrocyanic acid, hydrosulfuric acid. 7.) If it is an oxoacid, polyatomic anion root + -ic or -ous acid • ate ion = acid with ic / ite ion = ous • H2SO4,, HNO2, H3PO4 Name the following acids 12. H2SO4 13. HNO3 14. HI #1 • Write the chemical formula for Copper (II) Phosphate a.) CuPO4 b.) Cu2PO4 c.) Cu2(PO4)3 d.) Cu3(PO4)2 e.) CuP #2 • Write the name for Fe(CN)3 a.) Iron Cyanide b.) Iron (I) cyanide (III) c.) Iron (III) Cyanide d.) Iron tricyanide e.) Iron Carbon Nitride #3 • The name for Na2S a.) sodium sulfide b.) disodium sulfide c.) disodium monosulfide d.) sodium sulfate e.) Sodium sulfite #4 • The name for FeO a.) Iron Oxide b.) diiron trioxide c.) Iron (II) Oxide d.) Iron (III) Oxide #5 • The name for CuCO3 a.) Copper carbide b.) Copper (I) Carbonate c.) Copper Carbonate d.) Copper (II) Carbonate e.) Copper monocarbonate #6 • The formula for nitrogen dioxide a.) N2O b.) NO2 c.) NO d.) N(I)O(II) #7 • Name C3H8 • • • • • A.) Carbon Hydride B.) Carbon (IV) Hydride C.) tricarbon octahydride D.) propane E.) butane #8 • • • • • • Name HC2H3O2 A.) Hydrogen Acetate B.) Hydrogen carbon oxide C.) ???? D.) Acetous acid E.) acetic acid #9 • • • • • • Name IF5 A.) Iodine Fluoride B.) Iodine (I) Fluoride C.) Iodine pentafluoride D.) Monoiodine pentafluoride E.) iodine pentaflourine #10 • • • • • • Name Na2SO4•10H2O A.) Sodium (II) sulfate water B.) Sodium (I) sulfate water C.) Sodium sulfite D.) Disodium sulfate decahydrate E.) Sodium sulfate decahydrate Terms You Should Know •atomic number (Z) •mass number (A) •isotopes A • X Z •atomic mass •average atomic mass Particles in the Atom Atoms consist of protons, neutrons and electrons Particles in the Atom Electrons (-) charge no mass located outside the nucleus 1 amu located inside the nucleus 1 amu located inside the nucleus Protons (+) charge Neutrons no charge Structure of the Atom There are two regions The nucleus • With protons and neutrons – Positive charge – Almost all the mass Electron cloud – Most of the volume of an atom – The region where the electron can be found Counting the Pieces Atomic Number (Z) = number of protons in the nucleus of an atom, always the same for a given element Mass Number (A) = total number of nucleons in an atom (protons+neutrons) Mass # 12 Atomic # 6 C Isotopes Atoms of the same element with a different mass number. Same # protons, different number of neutrons C-12 C-13 C-14 Isotope of Magnesium 12e- 12e12p+ 12n0 Atomic symbol 24 12 Mg 12e- 12p+ 13n0 12p+ 14n0 25 12 26 12 Mg Mg Number of protons 12 12 12 Number of electrons 12 12 12 Mass number 24 25 26 Number of neutrons 12 13 14 Mg-24 Mg-25 Mg-26 Isotope Notation Isotope of Chlorine • • • • • • Atomic # Mass # # protons # neutrons # electrons Shorthand name 37 17 Cl Mass # - Atomic # = # neutrons (protons & neutrons) (protons) 1. How many electrons, protons, neutrons are in an atom of phosphorus with mass number 31? 2. How many electrons, protons, neutrons are in an atom of thorium with mass number 232? Ions Cations Na+ Mg2+ Al3+ Anions ClS2N3- Ions An atom that has become charged by either gaining or losing electrons Cation- positive ions, loses electrons Anion - negative ions, gains electrons 125 53 I 1– Formation of a Cation sodium atom Na sodium ion Na+ ee- e- e- e- e- ee- e- 11p+ ee- loss of one valence electron e- e- 11p+ e- e- e- e- e- e- e- e- Formation of an Anion e- chlorine atom Cl e- e- egain of one valence electron e- e- chloride ion Cl1- e- e- e- eee- e- e- ee- e- 17p+ 17p+ e- e- e- e- ee- e- e- ee- e- e- e- e- e- ee- e- e- Description Net Charge Atomic Number Mass Number Ion Symbol 128 Te2– 15 p+ 16 n0 18 e– 38 p+ 50 n0 36 e– 1+ 18 e– 39 Parts of the atom Summary • # Protons - determine the identity of the atom, atomic number (Z) • # Neutrons - determine the particular isotope of that element, mass number (A) • # Electrons - determine the charge on the atom Average Atomic Mass Atomic mass - the average mass of the isotopes in their relative abundance Not all isotopes of an element are present in the same amount, so we use a weighted average Avg. (mass)(%) + (mass)(%) Atomic = 100 Mass Average Atomic Mass • EX: Calculate the avg. atomic mass of oxygen if its abundance in nature is 99.76% O-16, 0.04% O-17, and 0.20% O-18. Avg. (16)(99.76) + (17)(0.04) + (18)(0.20) 16.00 = = Atomic amu 100 Mass Average Atomic Mass • Ex: Find chlorine’s average atomic mass if approximately 8 of every 10 atoms are Cl-35 and 2 are Cl-37 Avg. (35)(8) + (37)(2) 35.40 amu Atomic = = Mass 10 :) Atom Jokes :) A neutron walks into a restaurant and orders a couple of drinks. As she is about to leave, she asks the waiter how much she owes. The waiter replies, “For you, No Charge!!!” Two atoms are walking down the street. One atom says to the other, “Hey! I think I lost an electron!” The other says, “Are you sure??” “Yes, I’m positive!” IV.)Chemical Formulas • Molecular formulashows the kinds and number of atoms present in a molecule of a molecular compound. Ethanol - (C2H6O) 1 Molecule of ethanol contains 2 carbon, 6 hydrogen, 1 oxygen atom Ions • Ions are formed by gaining or losing electrons. • In general, –Metal atoms tend to lose e–Nonmetallic atoms tend to gain e- Molecular formula: Indicates the actual numbers and types of atoms in a molecule. Empirical Formula: elements present in simplest whole number ratios of their atoms. H2O2 HO Empirical formula Molecular formula empirical formula: the formula for a compound containing the smallest ratio of the atoms. molecular formula: the "true" formula of the compound, contains the actual number of atoms of each element present in one molecule of the compound. EXAMPLES: Molecular Formula Empirical Formula P5O10 PO2 N2O4 NO2 H2O2 HO Structure of Ionic Compounds • Ions arrange in 3-dimensional structures. (see page 54) • We write an empirical formula: NaCl • All we can do for ionic compounds is write empirical formulas Structural Formula Shows which elements are attached to which in a molecule. – Types of Models • Ball and Stick models • Space-filling models • molar mass • chemical formulas • empirical formula • molecular formula • diatomic molecules • polyatomic molecules • allotropes