ESSENTIAL REVIEW LIMITING REACTANT Limiting Reagent – reactant which limits the amount of product that can be formed from a reaction * during reaction, sufficient quantities of all reactants are required: A chemical equation is a chemist’s shorthand expression for describing a chemical change. Fe + S → FeS 1 mole Fe 1 mole S → 1 mole FeS As an example, consider what takes place when iron rusts. The equation for this change is: * if the quantity of one reactant is insufficient to completely consume the other reactant during the reaction, the insufficient reactant (limiting reactant) will determine the quantity of product formed: Fe + O2 → Fe2O3 In this expression, the symbols and formulas of the reacting substances, called the reactants, are written on the left side of the arrow and the products of the reaction are written on the right side. The arrow is read as “gives”, “yields”, or “forms” and the plus (+) sign is read as “and”. When the plus (+) sign appears between the formulas for two reactants, it can be read as “reacts with”. (The + sign does not imply mathematical addition) 3 moles Fe 1 mole S (excess) (limiting reagent) → 1 mole FeS 2 moles Fe 3 mole S (limiting reagent) → 2 mole FeS (excess) *example 1: for the reaction of Fe with H2O, how many moles of Fe3O4 are formed from 4.36 moles of Fe and 5.50 moles of H2O? 3 Fe + 4 H2O -----> Fe3O4 + 4 H2 STEPS 1. Make sure the equation is balanced 2. Since it is not obvious which reactant is limiting, solve for the quantity of Fe 3O4 produced by making an assumption that either Fe or H2O is limiting. JUST DO IT!!!: a) assuming Fe is limiting: (that is, all 4.36 moles of Fe will be used up and converted into Fe 3O4, i.e., the starting quantity of 4.36 moles Fe will determine the quantity of Fe3O4 formed): BALANCING Recall this is a trial and error process a) Place coefficients to balance #moles of react. and prod. “Make left match right” b) In order balance: -Polyatomics (Balance as one whole thing) -Metals -Nonmetals -Oxygen -Hydrogen (Except when combustion, do H 1st) c) NEVER change the subscripts. d)Ensure coefficients in smallest whole # ratio and check work. 4.36 mol Fe 1 molFe3O4 3 mol Fe 1.45 mol Fe3O4 b) assuming H2O is limiting: (that is, all 5.50 moles of H2O will be used up and converted into Fe 3O4, i.e., the starting quantity of 5.50 moles H2O will determine the quantity of Fe3O4 formed): 4.36 mol Fe 1 molFe3O4 3 mol Fe 1.45 mol Fe3O4 3. compare the two quantities of Fe3O4: the smallest of these quantities will be produced, quantity of Fe3O4 produced: 1.38 mol Fe3O4 limiting reactant: H2O excess reactant: Fe PERCENT YIELD Percent Yield – ratio of the actual or experimental yield over the theoretical or calculated yield multiplied by a hundred. actual yield % yield = ----------------------theoretical yield x 100 MOLAR MASS The average atomic mass given for an element on the PT may be (AND SHOULD BE) interpreted as the Example: what is the percent yield for the reaction if a student reacting 1.5 grams of Cu(NO3)2 with enough measurement in grams equal to one mole of that atom. Na2CO3 collects 0.875 grams of CuCO3 after the reaction? FOR AN ATOM/ION Cu(NO3)2 + Na2CO3 → CuCO3 + 2 NaNO3 Use PT and round average atomic mass to the nearest HUNDRETH of a g/mol. actual yield: 0.875 grams CuCO3 theoretical yield: ? FOR A COMPOUND 1.5 g Na2CO3 1 mol Na2CO3 2 mol CuCO3 123.56 g CuCO3 0.99 g CuCO3 Find the molar mass in grams of each component 187.57 g Na2CO3 1 mol Na2CO3 1 mol CuCO3 element of the formula. Multiply each elements MM by 0.875 g CuCO3 actual yield the times it occurs in the formula and then add the sum. percent yield: % yield = ----------------------x 100 % yield = ----------------------- x 100= 88% Yield theoretical yield 0.99 g CuCO3 WATCH SIG FIGS!!!!!!!!!!!!! i.e. MM of H2O O’s 15.999 = 16.00 g/mol Molar Liters Solution Volume of Gas A @ Volume of Gas B @ H’s of 1.0079= 1.01 g/mol Ratio A STP STP MMH20 = 2 x 1.01 g/mol + 1 x 16.00 g/mol 18.02 g/mol Molarity # moles 1L Molar Mass Mass A # grams 1 mole STP MOLE MAP 22.4 L 1 mole Mole A Molar Ratio Mole B Molar Mass # grams 1 mole Avogadro’s # Avogadro’s # Molarity 6.022 x 1023 6.022 x 1023 # moles 1L 1 mole The MOLE STP 22.4 L 1 mole Particles A (atoms, FU, molecules) 1 mole Molar Ratio Particles B (atoms, FU, molecules) Mass A Liters of Solution B MOLE MAP TO APPLICATION -REMEBER that units are your guide. -REMEMBER that if you do not know where to start go to the mole. ~To switch between different types moles use the mole ratio. MULTISTEP EXAMPLES mass A mass A mass A VOL A mass A mass A mass A mass A etc. → Particle A → Solution Vol. A → Gas Vol. A → Particle A → mass B → Particle B → Solution Vol. B → Gas Vol. B Steps: 2 Steps = MM A / Avogadro’s # Steps: 2 Steps = MM A / Molarity A Steps: 2 Steps = MM A / STP Molar Volume Steps: 2 Steps = Molarity A / Avogadro’s # Steps: 3 Steps = MM A / Mole Ratio / MM B Steps: 3 Steps = MM A / Mole Ratio / Avogadro’s # Steps: 3 Steps = MM A / Mole Ratio / Molarity B Steps: 3 Steps = MM A / Mole Ratio / MM SOLUTIONS A solution is a homogeneous mixture of two substances: a solute and a solvent. -Solute: substance being dissolved; present in lesser amount. -Solvent: substance doing the dissolving; present in larger amount. -Solutes and solvents may be of any phase of matter: solid, liquid or gas. FORMING SOLUTIONS In order for a solution to form, the solute intermolecular forces (IMF’s) must be broken as well as the solvent IMF’s. Then the solute and solvent form new intermolecular forces with each other. If the energy required to break the IMF’s is much greater than the energy released when the new IMF’s are formed, the solution will not form and thus the solute is insoluble. SOLUBILITY RULES Solubility is a physical property of a pure substance. Many observations over time have led to some rules (generalizations) about the solubility of certain salts. These rules are based on the terms soluble, insoluble, and slightly soluble. Using these rules, we can predict when a particular salt is likely to be soluble in water, and if we have an unidentified compound we can design experiments to find out what it is. Soluble: • All Nitrates, Acetates, Ammonium, and Group 1 (IA) salts • All Chlorides, Bromides, and Iodides, except Silver, Lead, and Mercury(I) • All Fluorides except Group 2 (IIA), Lead(II), and Iron(III) • All Sulfates except Calcium, Strontium, Barium, Mercury, Lead(II), and Silver Insoluble (0.10 M or greater): • All Carbonates and Phosphates except Group 1 (IA) and Ammonium • All Hydroxides except Group 1 (IA), Strontium, Barium, and Ammonium • All Sulfides except Group 1 (IA), 2 (IIA), and Ammonium • All Oxides except Group 1 (IA) SOLUBILITY Solutions form between solute and solvent molecules can be predicted due to similarities between them. “Like dissolves Like,” refers to polar and nonpolar solvents and solutes. · Polar solids (this includes ionic solids) dissolve in water because the charged ions (polar) are attracted to the polar water molecules. · Nonpolar molecules such as oil and grease dissolve in nonpolar solvents such as kerosene. Factors Affecting Solubility There are three main factors that control solubility of a solute. (1) Temperature: Generally solubility increases with the rise in temperature and decreases with the fall of temperature but it is not necessary in all cases. However we must follow two behaviors: In endothermic process solubility increases with the increase in temperature and vice versa. In exothermic process, solubility decrease with the increase in temperature. (2) Nature of solute or solvent: “Like dissolves Like” (3) Pressure: The effect of pressure is observed only in the case of gases. An increase in pressure increases of solubility of a gas in a liquid. For example carbon dioxide is added to cold carbonated drinks due to pressure. Thus for gases, as the pressure of the gas above the solution increases, the solubility of the gas increases. For gases, as the temperature of the solution increases, the solubility of the gas decreases. For most solids, as temperature increases, the solubility increases. COLLIGATIVE PROPERTIES A colligative property is a property that depends on the number of solute particles in the sample. The vapor pressure of a solution is lower than the pure solvent because the number of solvent particles on the top layer that can evaporate is lower. Because the vapor pressure is lower, the boiling point of a solution is always the higher than the pure solvent and the freezing point is always lower than the pure solvent. An electrolyte solution, one in which the solute breaks apart into multiple ions which allow electricity to be conducted, has an even greater change in vapor pressure, boiling point or freezing point because there are more particles in the solution than molecules added to the solution. TYNDALL EFFECT Colloids are mixtures with solute particles large enough to scatter light. Colloids exhibit the Tyndall Effect, where light is seen traveling through and spreading out in the colloid as it travels through it unlike a solution. The Tyndall Effect can be used as an indicator to distinguish between a solution and a colloid SOLUBILITY CURVES A solubility curve shows the # of grams of solute in a saturated solution containing 100 mL or 100 g of water at a certain temperature. Any amount of solute below the line indicates the solution is unsaturated at a certain temperature Any amount of solute above the line in which all of the solute has dissolved shows the solution is supersaturated. If the amount of solute is above the line, u, the solution is saturated and the # grams of solute settled on the bottom of the container = total # g in solution – # g of a saturated solution at that temperature. (According to the curve) Solutes whose curves move upward w/ increased temperature are typically solids as the solubility of solids increases w/ increased temperature. Solutes whose curves move downward w/ increased temperature are typically gases as the solubility of gases decreases with increased temperature.
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