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Compounds and Equations Part One Interpreting Chemical Formulas… Chemical formulas give us important information about the chemical compound that we are studying or working with in a laboratory setting. These formulas are part of the “recipe” for important chemical reactions. New Terminology Empirical Formulas: Useful when talking about ionic compounds. The empirical formula is the simplest whole number ratio of the elements in an ionic compound. We use these for ionic compounds because ionic compounds do not form separate molecules. Instead, it’s just a ratio of alternating positive and negative charges. The subscripts tell you how many of each ion there are in a single unit or how many moles of ions there are in 1 mole of that sample. Example: CaCl2: The ratio of Calcium to Chlorine ions is 1:2 This means if there are 50 Ca+2 ions, there will be 100 Cl- ions. Mole: It is useful when counting objects, to define them in terms of a collective unit. For example, we use a dozen to mean 12 items. This makes it easier to count a large amount of items. It’s the same way with particles, we cannot possibly count all the molecules or atoms in a substance. Instead we use a unit called the mole 1 mole = 6.02 x 1023 particles of anything 1 mole is the number of atoms that weigh their atomic mass in grams. For example, the atomic mass for sodium is 23.0 grams. We can say that 1 mole of sodium atoms (6.02x1023 atoms) would have a mass of 23.0 grams. This is known as Avogadro’s number Avogadro’s number is a constant, and does not change. However, the mass of 1 mole of a substance WILL change depending on the substance, because the composition changes. For instance, while we know that a dozen always means 12 items… A dozen bricks has a much greater mass than a dozen feathers. The substance you are working with determines the mass of a “dozen”. New Terminology Molecular Formula: This tells us how many atoms of each element we would need to form the molecule. Remember, molecules are formed through covalent bonding and done exclusively with non-metals. Molecular formulas are not useful when studying ionic compounds but are most appropriate when studying molecular compounds. For example, to form a molecule of methane, it takes 1 carbon atom and 4 hydrogen atoms giving a molecular formula of CH4. Note, this is also methane’s empirical formula because it cannot be simplified. To form a molecule of glucose it takes 6 C, 12 H, 6 O, giving a molecular formula of C6H12O6. This is not the empirical formula of glucose, but it tells us how to build that molecule. The empirical formula is CH2O… However, this does not tell us how to build glucose. New Terminology Coefficient: tells you how many moles of a given compound you have. Useful when balancing equations – in the future. Review: Interpreting a Chemical Formula Empirical Formula Fe2O3 K2SO4 Al2(SO4)3 # of Ions of Each Element # of moles of each element Total # of moles of ions Review: Interpreting a Chemical Formula Empirical Formula Moles of Each Element Formula with Coefficient CaCl2 3 CaCl2 Al(NO3)3 2 Al(NO3)3 (NH4)3PO4 5 (NH4)3PO4 Moles of each ion Gram Formula Mass Just like a dozen bricks has more mass than a dozen feathers… The molar mass aka the Gram Formula Mass aka the Molecular mass is the mass of 1 mole of a substance. The units are g/mol which translates into the number of grams in one mole of the substance. Gram Formula Mass How to calculate the GFM: 1. Count the atoms of each element in the compound 2. Look up the mass of each element on the periodic table, round to the tenths place. 3. Multiply the number of atoms by the mass 4. Add up each mass. Gram Formula Mass Examples What is the molar mass of Cu? What is the molar mass of KCl? Calculate the GFM of Na3PO4: Calculate the GFM of Al2(SO4)3 : Mole to Gram Conversions When chemical reactions take place, we can think about them as if they were recipes. These recipes are based on mole amount of each ingredient. However, we don’t have balances that measure moles, we always measure in grams. Therefore, we need to be able to convert between grams and moles of our ingredients so that way we can ensure the reaction runs properly. Two types of problems: 1. Determine how many moles there are in a certain mass 2. Determine the mass of a certain number of moles. Mole to Gram Conversions Anytime you are talking about grams and moles, you must calculate the GFM of the compound. To solve: there is a formula on the back of the reference table: Formula: You can also use unit cancelling ( factor label method) to solve these problems. See guided practice below. Mole to Gram Conversions Helpful hint: • If it’s more than 1 mol, your answer must be greater than the GFM • If it’s less than 1 mol, your answer must be less than the GFM. Mole to Gram Conversions Problem 1: Determine how many moles…. Example 1: Calculate the number of moles in a 500 gram sample of MgCl2. Formula Method: Factor Label Method: Mole to Gram Conversions Example 2: How many moles of Sr(NO3)2 in 75.5 grams of strontium nitrate? Formula: Factor Label Method: Mole to Gram Conversions Example 3: How many grams are present in 3.4 moles of NH4Cl? Formula: Factor Label Method: Mole to Gram Conversions Example 4: How many grams are present in 4.5 moles of potassium oxide? Formula for potassium oxide: Formula: Factor Label Method: Percent Composition PERCENT COMPOSITION AND MOLECULAR FORMULAS: Percent Composition: The proportion by mass of each element in a compound. This can be done experimentally or using the formula.. Either way, there is a formula on Table T of your reference table. Formula: Percent Compostion Example: Determining percent composition experimentally: A compound containing nitrogen and oxygen has a mass of 80.0 grams. Experiments show that the 80.0 grams is made up of 56.0 grams of Oxygen and 24.0 grams of Nitrogen. What is % composition by mass of each element? • %O %N Percent Composition Example: Determine using the formula… You need the periodic table for this: Step 1: Calculate the GFM of the whole compound Step 2: Plug into formula Percent Composition • What is the % composition by mass of each element in SiO2? • What is the % composition by mass of each element in H3PO4 ? • What is the percent composition of nitrogen in NH4NO3? Percent Composition of a Hydrate Hydrate: Ionic solids with water trapped within the crystal lattice. The amount of water trapped in the solid is expressed in this format: Ionic Compound • n H2O Example: CuSO4 • 5 H2O This can be named as Copper II Sulfate Pentahydrate. The 5 water molecules are trapped within the copper sulfate crystal lattice. Anhydrate: An ionic solid with no water trapped inside. Can be formed by heating a hydrate until all of the water is evaporated. Percent Composition of a Hydrate PERCENT COMPOSTION OF A HYDRATE: Can also be done experimentally or using the formula. Example 1: Experimental determination: • Subtract the mass of the anhydrate (without water, after heating) from the mass of the hydrate (with water, before heating). • This is the mass of the water that evaporated. • Divide the mass of the water by the mass of the hydrate. Percent Composition of a Hydrate 1. A 10.40 gram sample of a hydrated crystal is heated to a constant mass of 8.72 grams. What is the percent composition of water in this hydrate? 2. An empty evaporating dish is found to have a mass of 29.993 grams. A sample of the hydrated crystal is placed into the evaporating dish, the combined dish 39.486 g. The evaporating dish is heated and removed from the flame when it reaches a constant mass of 38.378 g. what is the percent by mass of water in the hydrate? Percent Composition of a Hydrate Example 2: Determining using the formula: Calculate the GFM of the hydrate, including the water. Plug into the formula on Table T. 1. What is the percent by mass of water in Na2CO3 • 10 H2O 2. What is the percent by mass of water in BaCl2 • 2 H2O? Empirical and Molecular Formulas Molecular Formulas: Empirical formulas give you the simplest whole number ratio. While this is fine for ionic compounds, they do not tell the full story for molecular compounds. Molecular compounds are a multiple of an empirical formula: Example: Glucose Divide Molecular Formula C6H12O6 Empirical Formula CH2O Multiply Empirical and Molecular Formulas It is easy to arrive at a compounds empirical formula, you simply divide each of the subscripts by the greatest common factor to reduce them to the simplest whole number ratio. Examples: Determine the empirical formula: Molecular Formula N2O4 C4H8 B4H10 P2O5 C2H6 C3H9 Empirical Formula Empirical and Molecular Formulas TO DETERMINE THE MOLECULAR FORMULA: You cannot determine the molecular formula, you will need the empirical formula and you will need to know what to multiply the empirical formula by to get the molecular formula. Steps: 1. Determine the GFM of the empirical formula 2. Divide the molecular mass by the empirical mass. * This should be a whole number. If it is not, you did something wrong* 3. Multiply the empirical formula by the whole number. Empirical and Molecular Formulas Example: The empirical formula for ethylene is CH2. Find the molecular formula if the molecular mass is 28.1 g/mol. Example: What is the molecular formula of a compound that has an empirical formula of NO2 and a molecular mass of 92.0 g/mol? Example: a compound has an empirical formula of HCO2 and a molecular mass of 90 grams per mole. What is the molecular formula of this compound? Compounds and Equations Part Two How is the Law of Conservation of mass applied during chemical changes? Chemical Equations use chemical formulas and physical states like solid (s), liquid (l), gases (g), and aqueous (aq) to describe a chemical reaction. These equations give us information about what is reacting, what is being formed and how much or the number of moles of each substance and even the energy that might be absorbed or released. All chemical equations follow the same basic format: Reactants Products How is the Law of Conservation of mass applied during chemical changes? For example: Write the equation for the following reaction: Zinc reacts with hydrogen chloride to produce hydrogen gas and zinc chloride. Eq: Zn(s) + HCl (aq) H2 (g) + ZnCl2 (aq) In the equation above, you may notice something not right. As written, this equation does not obey the Law of Conservation of Mass. How is the Law of Conservation of mass applied during chemical changes? Law of Conservation of Mass can be thought of as the number of atoms of each element on the left must be equal to the number of atoms of each element on the right. In order to “balance” this equation, we use numbers known as coefficients. Coefficients are interpreted to mean the moles of each substance How is the Law of Conservation of mass applied during chemical changes? Balance the equation in order to follow the Law of Conservation of Mass: Eq: Zn + 2 HCl H2 + ZnCl2 This can be read as 1 mole of zinc reacts with 2 moles of hydrogen chloride to produce 1 mole of hydrogen gas and 1 mole of zinc chloride. These numbers give us a ratio of reactants to products. How is the Law of Conservation of mass applied during chemical changes? Some guidelines for writing equations and balancing equations: 1. Make sure that the formulas are written properly. Criss cross for ionic compounds, follow the prefixes for molecular compounds. 2. Make sure that you have reactants on the left hand side and products on the right hand side. Remember “yields” means the same as “produces” and is usually where the arrow should be drawn. 3. Evaluate the equation: what elements are not balanced? 4. Balance in pencil! a. Start with an element that is on both sides b. Keep polyatomic ions together when possible (balance as a unit) c. Leave lone elements until the very end d. Never, ever change the formula. How is the Law of Conservation of mass applied during chemical changes? Examples: Balance the following ___ Al + ____ CuCl2 ____ Cu + ____ AlCl3 ____ H2 + ____ O2 ____ H2O ____ N2 + ____ H2 _____ NH3 ____ BaCl2 + _____ AgNO3 ____ Ba(NO3)2 + _____ AgCl ____ FeCl3 + _____ Pb(NO3)2 _____ Fe(NO3)3 + _____ PbCl2 How is the Law of Conservation of mass applied during chemical changes? How is the Law of Conservation of mass applied during chemical changes? Examples: Write the chemical equations given the following word equations and balance: 1. Copper reacts with oxygen gas to produce copper (I) oxide. Word equation: ____________________________________________ Chemical equation: _____________________________________________ How is the Law of Conservation of mass applied during chemical changes? 2. Lead(II)Nitrate reacts with sodium phosphate to yield lead(II)phosphate and sodium nitrate. Word Eq: _________________________________________________ Chemical Eq: ______________________________________________ How is the Law of Conservation of mass applied during chemical changes? Examples: Use the following equations and your understanding of the Law of Conservation of Mass to answer the following: 1. If 35.0 grams of nitrogen gas are reacted with hydrogen gas to produce 42.5 grams of ammonia gas, how many grams of hydrogen gas were reacted? Equation: ________________________________________ How is the Law of Conservation of mass applied during chemical changes? 2. How many grams of aluminum are formed when 45.0 grams of aluminum oxide are decomposed into aluminum and 21.0 grams of oxygen? Equation: _______________________________________ These are called “Missing Mass Calculations: To abide by the Law of Conservation of Mass: The mass on the reactants side and products side must be equal to each other. Guiding Question 2: What are the five major types of chemical reactions? Reaction Type 1: Synthesis In its most basic form: two elements combine to form a compound. Today, our definition is expanded a bit, where two substances combine to form one product. If an equation fits the following format, it can be classified as a synthesis reaction: Format: A + B AB or A + B2 AB2 *The second example shows that it does not matter what the formula of the compound or the individual substances might be. Sickly Bird + Worms 2 reactants 1 product = Healthy Bird Guiding Question 2: What are the five major types of chemical reactions? Reaction Type 2: Decomposition This can be thought of as the opposite of synthesis. A compound is broken down into 2 simpler substances. Format: AB A + B or AB2 A + B2 Baby Turtle in Egg Egg shell 1 reactant 2 or more products + Turtle Guiding Question 2: What are the five major types of chemical reactions? Reaction Type 3: Single Replacement This is identified by: one element and a compound on EACH side. Two options: Option 1: Metal + Compound: In these reactions, the metal replaces the cation in the compound. Format: A + BC AC + B Derek Jeter + Tony Romo and Ms. Hannon Derek Jeter and Ms. Hannon One element replaces another in a compound + Tony Romo + + + + Hey! She’s mine! I’m stronger than you, I’m taking her back! + Finally, all is right in the world. + Guiding Question 2: What are the five major types of chemical reactions? Example: Li + CaCl2 LiCl + Ca This occurs because Li is more reactive than Calcium. This is determined by using Table J in your reference tables. This type of reaction can only occur if the metal that is REPLACING the other is more active and therefore HIGHER on Table J. Guiding Question 2: What are the five major types of chemical reactions? Example: Predict whether the following reactions can happen. If yes: then predict the products: No Reaction: Au is lower on Au + NaCl Table J Zn + 2 CuNO3 2 Cu + Zn(NO3)2 Guiding Question 2: What are the five major types of chemical reactions? Option 2 : Nonmetal + Compound: The non-metal replaces the anion in the compound. These can also be predicted by using Table J. Format: A + BC BA + C Example: F2 + ZnCl2 ZnF2 + Cl2 This occurs because fluorine is more reactive than chlorine. This is shown on Table J as F2 is higher than Cl2. Guiding Question 2: What are the five major types of chemical reactions? Reaction Type 4: Double Replacement: Two aqueous compounds swap positive ions to form two new products. Format: AB + CD AD + CB + Mickey and Minnie Donald and Daisy Donald and Minnie + Mickey and Daisy Guiding Question 2: What are the five major types of chemical reactions? Once AB is dissolved, the ions will separate as the polar water molecules pull them apart. The same thing will occur between CD. The A,B,C,D ions are all able to move freely in solution and find new partners. In some cases, the new partnership is such as strong attraction that the water molecules cannot pull them apart. This will form an insoluble (water can’t pull apart) precipitate (more to come in our Solutions unit). These are abbreviated with an (s) after the compound formula. Guiding Question 2: What are the five major types of chemical reactions? Example: K2CrO4 (aq) + Ba(NO3)2 (aq) 2 KNO3 (aq) + BaCrO4 (s) Example: NaCl (aq) + AgNO3 (aq) AgCl(s) + NaNO3(aq) Guiding Question 2: What are the five major types of chemical reactions? Reaction Type 5: Combustion: This is the most specific type of reaction as it has a predetermined set of reactants and products. Format: CxHy + O2 CO2 + H20 These are highly exothermic reactions… See Table I. Combustion reaction are described as a hydrocarbon burns (which means reacts with oxygen) to form carbon dioxide and water. This is the same reaction that occurs in car engines, known as combustion engines. The fuel that you purchase is a hydrocarbon! Guiding Question 2: What are the five major types of chemical reactions?