Chapter 3 – Stoichiometry Section 3.1 – Counting by Weighing -when measuring large quantities, it is often easier to measure by weight rather than counting -because not every item being counted is identical, we rely on the concept of average mass -this is how we count atoms and molecules in chemistry Section 3.2 – Atomic Masses -the modern system of atomic masses uses carbon-12 as the standard, with a mass of exactly 12 atomic mass units -masses of other elements are determined by comparing them with carbon-12 using a mass spectrometer See figure 3.1-diagram of mass spectrometer -average atomic masses are always used which are the weighted averages of all of the isotopes of an element -no atom actually has the mass of the average atomic mass, but the value allows us to do stoichiometric calculations with relatively high accuracy Section 3.3 – The Mole -defined as the number equal to the number of carbon atoms in exactly 12 grams of pure carbon-12 -Avogadro’s number=6.022x1023 -mole was defined as that number so that a sample of an element with a mass the same as the element’s atomic mass only in grams would contain the above number of atoms Section 3.4 – Molar Mass -molar mass = mass of one mole of a compound -found by adding together atomic masses of the components Section 3.5 – Learning to Solve Problems -the process is the most important part to understand about the example problems and homework problems that you will do -the first step is always analyzing what information is provided in the problem and what the final goal is -then, start making a map (figuratively or literally) of a plan to get from start to finish -always make sure to check that your answer makes sense; this will save you for easy mistakes Section 3.6 – Percent Composition of Compounds -mass percent (or weight percent) of an element in a compound is found by comparing the mass of that element in one mole of the compound to the total mass of one mole of the compound Section 3.7 – Determining the Formula of a Compound -sample is usually analyzed by decomposing it to its component elements or simple compounds that can then be weighed -find the fraction by mass of each element (or percent composition) -assume you are working with 100 g of the compound and find the smallest whole-number ratio and therefore the empirical formula -numbers that are very close to whole numbers should be rounded, otherwise, multiply each number by an integer to create whole numbers -able to use molar mass (if known) to find the molecular formula See page 93 for step-by-step directions for determining empirical and molecular formulas Section 3.8 – Chemical Equations Chemical Reactions -describes a chemical change -law of conservation of mass tells us that all atoms must be accounted for on each side of the equation -bonds are broken or formed, or reorganized – nothing is created or destroyed The Meaning of a Chemical Equation -equation often gives the physical states of the reactants and products -relative numbers are shown with coefficients Section 3.9 – Balancing Chemical Equations -can only change coefficients, cannot change the identities of the molecules (no subscript changes) -can usually solve with trial and error (“by inspection”) -to balance a chemical equation: -determine products and reactants, along with their states -write the unbalanced equation -balance using the most complicated molecule first Section 3.10 – Stoichiometric Calculations: Amounts of Reactants and Products -chemical equations tell us the number of moles or molecules, not the masses, but experimentally, masses are used -use molar masses, mole ratios, and factor labeling in order to convert the mass of one component to the mass of another -to calculate masses of reactants and products: -make sure the chemical equation is balanced -convert the known mass of reactant or product to moles -set up mole ratio using the balanced equation -use the mole ratio to find the number of moles of the unknown reactant or product -convert moles to grams with molar mass Section 3.11 – The Concept of Limiting Reagent -chemicals are often mixed so that they run out at the same time, also known as a stoichiometric mixture -sometimes one reactant is consumed before the other(s), it is known as the limiting reactant (or limiting reagent) -must figure out which reactant is limiting so that you know how much product can be made -crucial to use moles, not mass, to compare -amount of product that can be made when the limiting reactant is completely used in ideal conditions is known as the theoretical yield -this amount is never actually made (lab error, side reactions) -percent yield-amount actually made (actual yield) compared to theoretical yield