SCH4U – Grade 11 Review Grade 11 Review for SCH4U 1. Significant Digits Zero as a Significant Digit: Zero is significant ONLY if it is between two significant figures, OR if it is to the right of a significant figure AND to the right of the decimal. Egs. 0.0018 2 sig. fig. 1.8 x 10-3 18 000 2 sig. fig. 1.8 x 104 18.00 4 sig. fig. 1.800 x 101 Multiplication and Division: The answer to the calculation will have the same number of significant digits as the measurement with the fewest significant digits. Eg. 0.01208 0.0236 = 0.51186... but 0.0236 has only 3 sig. fig. therefore = 0.512 or 5.12 x 10-1 Addition and Subtraction: The answer to the calculation will have the same number of decimal places as the measurement with the fewest number of significant figures. Eg. 0.12 + 1.6 + 10.976 = 12.696 but 0.12 and 1.6 each have 2 sig. fig. and 1.6 has only 1 decimal place therefore = 12.7 or 1.27 x 101 2. Calculating Average Atomic Masses from Isotopic Abundances Example: Chlorine is a mixture of 2 isotopes ▪ 75.77% of the atoms are 35Cl (34.9689μ) ▪ 24.23% of the atoms are 37Cl (36.9659μ) What is the average atomic mass of chlorine? Solution: 0.7577 x 34.9689μ = 26.50μ 0.2423 x 36.9659μ = 8.957μ Total mass of average atom = 26.50μ + 8.957μ = 35.46μ 3. Atomic Structure 𝐴 𝑍𝑋 A = mass # = # of protons + # of neutrons Z = atomic # = # protons Isotopes = same # of protons, different # of neutrons Ions = same # of protons and neutrons, different # of electrons Page 1 of 9 SCH4U – Grade 11 Review 4. Bonding Atoms will bond if their new configuration provides equal or greater stability. This is often due to the acquiring of a “full” valence electron shell Octet = 8 valence electrons Duplet = 2 valence electrons Between: Ionic Bonding Covalent / Molecular Bonding Metal and Non-metal Two or more non-metals Metal loses e- cation Mechanism: - Non-metal gains e anion Valence electrons are shared (up to three shared pairs) Electrons are transferred from the metal to the non-metal lithium + chlorine lithium chloride Li + Cl LiCl bromine + chlorine bromine chloride Br + Cl BrCl Br + Cl Br Cl Example: Li Force of Attraction: + Cl [ Li ]+ + [ Cl ]- Electrostatic interaction (attraction between positively and negatively charged ions) Physically shared eletron pair(s) Crystal Lattice Individual molecules. Structures vary greatly depending on how individual molecules interact with each other. Depends mostly on: polarity, size and 3D shape Conceptual Diagram: Structure: Page 2 of 9 SCH4U – Grade 11 Review 5. Electronegativity, Polarity and Shape The ability of an individual atom, when bonded, to attract bonding electrons to itself is known as its electronegativity. To determine the overall polarity of a molecule you must consider polarity of bonds and 3D shape. S.N.A.P. (Symmetrical = Non-polar ; Asymmetrical = Polar) Electronegativity 6. Periodic Trends Page 3 of 9 SCH4U – Grade 11 Review 6. Nomenclature Recall common polyatomic Ions: Name ammonium hydroxide nitrate chlorate Formula NH4+ OHNO3ClO3- bromate iodate carbonate sulfate phosphate permanganate acetate chromate dichromate cyanide BrO3IO3CO32SO42PO43MnO4CH3COOCrO42Cr2O72CN- hydrogen carbonate hydrogen sulfate hydrogen phosphate dihydrogen phosphate HCO3HSO4HPO42H2PO4- related ions nitrite hypochlorite chlorite perchlorate NO2ClO ClO2ClO4- phosphite PO33- cyanate thiocyanate OCNSCN- hydrogen sulfite HSO3hydrogen phosphite HPO32dihydrogen phosphite H2PO3- IUPAC Naming Method Molecular Compounds (2 non-metals) - use prefixes 1 2 3 4 5 6 mono di tri tetra penta hexa 7 hepta 8 octa 9 nona 10 deca *note: omit mono for first element in compound name Eg. CCl4 - carbon tetrachloride P2Cl5 - diphosphorus pentachloride Ionic Compounds (metal and non-metal) *note use stock system for multivalent metals Binary: Name first element + second element replace ending with “ide” Polyatomic: Name first element + name polyatomic Eg. NaCl - sodium chloride CuCl - copper(I) chloride CuCl2 - copper(II) chloride Mg3(PO4)2 - magnesium phosphate ZnClO3 - zinc (I) chlorate Zn(ClO3)2 – zinc (II) chlorate Page 4 of 9 SCH4U – Grade 11 Review 7. Types of Chemical Reactions Combustion: Synthesis: A + B AB Decomposition: AB A + B Single Displacement: A + BC AC + B Describes a chemical reaction in which substances react with oxygen producing heat and light produces the most common oxides of the elements making up the substance that is burned Occur when 2 or more substance combine to produce a more complex substance Reverse of an synthesis reaction. A compound is broken down (decomposed) to give 2 or more simpler substances. A reaction in which one element replaces another in a compound. Activity Series can be used to predict whether or not the reaction will occur. Each metal will displace any metal ion that appears below it in the series Double Displacement: Always involves two ionic compounds the cation of one compound changes AB + CD AD + CB places with the cation of the second compound Solubility Table can be used to predict whether or not a precipitate will form if product is very soluble, it will stay in solution if product is slightly soluble, solid is produced called precipitate Page 5 of 9 SCH4U – Grade 11 Review 8. Measuring Moles ×𝑚 mass 𝑚 = 𝑛 ×𝑀 ÷𝑀 × 6.02×10 23 moles particles 𝑚 𝑛= 𝑀 ÷ 6.02×10 23 𝑁 = 𝑛 × 𝑁𝐴 Molar Mass (M): Sum of the atomic masses of the atoms in the formula. Eg. Find the molar mass of calcium phosphate, Ca3(PO4)2 MCa3(PO4)2 = Convert between mass (m) and moles (n): Use the molar mass (M) as a conversion factor. Eg. How many moles are there in 0.58 g of Ca3(PO4)2? nCa3 (PO4)2 Eg. = What is the mass of 2.67 moles of Ca3(PO4)2? mCa3(PO4)2 = 9. Empirical and Molecular Formulas “Percent to mass Mass to mole Divide by small Multiply ‘til whole” Example: A compound contains 69.58% Ba, 6.090% C, and 24.32% O. What is its empirical formula? Element Mass (g) Ba C O Moles (mol) Ratio Whole-number ratio Therefore the empirical formula is __________________ Page 6 of 9 SCH4U – Grade 11 Review 10. Percentage Composition % by mass of element = mass of element mass of whole sample x 100% Example: What is the percentage by mass of hydrogen in H2O? %H= 11. Stoichiometry and Limiting Reagents Start with a balanced equation Always use coefficient ratio with moles (Moles Good! Grams Bad!) Example: How many moles of sodium phosphate can be made from 0.240 mol NaOH according to the following equation? 3 NaOH(aq) + H3PO4 (aq) ↓ Na3PO4 (aq) + 3 H2O nNa3 PO4(aq) = 12. Percentage Yield percentage yield = actual yield x 100% theoretical yield 13. Ionic Reactions that Produce Precipitates Example: Balanced Equation HNO3 (aq) + KOH (aq) ↓ KNO3 (aq) + H2O (l) Ionic Equation Net Ionic Equation Page 7 of 9 SCH4U – Grade 11 Review 14. Molar Concentration 𝐶= Example: 𝑛 𝑚𝑜𝑙𝑒𝑠 = 𝑣𝑜𝑙𝑢𝑚𝑒 𝑉 How many moles of each ion are in 2 L of aqueous 0.20 mol/L Al2(SO4)3? Al2(SO4)3 ↓ 2 Al3+ + 3 SO420.20 mol/L CAl3+ = CSO 2- = nAl3+ = nSO 4 4 2- = 15. Dilution of a Solution C1V1 = C2V2 Example: What volume of 0.200 M K2Cr2O7 is required to prepare 100.0 mL of 0.0400 M K2Cr2O7? C1 = 0.0400 M V1 = 100.0 mL = 0.1000 L C2 = 0.200 M V2 = ? Page 8 of 9 SCH4U – Grade 11 Review 16. Combined Gas Law P 1 V1 T1 Example: = P2 V2 T2 A sample of argon is trapped in a gas bulb at a pressure of 760 kPa when the volume is 100 mL and the temperature is 35°C. What must its temperature be if its pressure becomes 720 kPa and its volume 200 mL? P1 = 760 kPa P2 = 720 kPa T2 = P 2 V 2 T1 P 1 T2 V1 = 100 mL = 0.1 L V2 = 200 mL = 0.2 L T1 = 308 K (35 + 273) T2 = ? = 17. Standard Molar Volume *Remember: Example: - ONE mole of any gas at STP (0°C, 101.3 kPa) occupies 22.4 L - NA = 6.022 x 10-23 atoms or molecules per mole At STP, how many molecules of water vapour are in 22.4L? 18. Ideal Gas Law PV = nRT, Example: where R = 0.0821 L atm or mol K 8.314 L kPa mol K A sample of oxygen at 24.0°C and 0.980 atm was found to have a volume of 455 mL. How many grams of O2 were in the sample? Page 9 of 9
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