Honors Chemistry Name _________________ Unit 3 – Mass Relations in Chemistry; Stoichiometry Atomic Masses Atomic mass – (atomic weight) – Atomic mass units – (amu) – Carbon-12 scale – Atomic Masses and Isotopic Abundances: Mass spectrometer – Isotopic abundances – Atomic Mass Calculations: Atomic mass Y = (atomic mass Y1) x %Y1 + (atomic mass Y2) x %Y2 +… 100 100 Example 1: Bromine is a red-orange liquid with an average atomic mass of 79.90 amu. Its name is derived from the Greek word bromos, which means stench. It has two naturally occurring isotopes: Br-79 (78.92 amu) and Br-81 (80.92 amu). What is the abundance of the heavier isotope? 1 Masses of Individual Atoms; Avogadro’s Number: Avogadro’s Number – For Example: 6.02x1023 H atoms in 1.008 grams of H (atomic mass of H = 1.008) Example 2: Consider titanium (Ti). Taking Avogadro’s Number to be 6.02x1023, calculate: a) the mass of a titanium atom b) the number of atoms in a 10.0g sample c) the number of protons in 0.1500 pounds of titanium The Mole mole – specialized units – the correct name for a particle of a substance based on the type of matter a. atom – 2 b. ion – c. molecule – d. formula unit - molar mass – (MM)- Calculating molar mass: 1. find the mass of the element on the periodic table 2. multiply by the number of atoms of that element in the formula (distribute parenthesis) 3. sum the relative masses of the individual elements Example 3: Determine the molar masses of the following substances. Aluminum CaSO4 (NH4)3P The Significance of the Mole: In the laboratory, substances are weighted on balances in units of grams The mole allows us to relate the number of grams of a substance to the number of atoms or molecules of a substance 3 Mole – Gram Conversions: Molar mass can be used like any other conversion factor: Molar mass (g) = 1 mole Example 4: acetylsalicylic acid, C9H8O4, is the active ingredient in aspirin. A) What is the mass in grams of 0.509 moles of acetylsalicylic acid? B) A 1.00 g sample of aspirin contains 75.2% by mass of C9H8O4. How many moles of acetylsalicylic acid are in the sample? C) How many molecules of C9H8O4 are there in 12.00g of acetylsalicylic acid? How many carbon atoms? Mass Relations in Chemical Formulas Percent composition from formula: Percent composition – Part x 100 = % composition Whole 4 2 Types of % Comp. problems: 1. 2. given data as masses of elements, etc. a. use the masses of each element and the total mass of the compound given the chemical formula of the compound a. use the relative molar masses of each element and the molar mass of the compound Example 5: Metallic iron is most often extracted from hematite ore, which consists of iron (III) oxide mixed with impurities such as silicon dioxide, SiO2. A) What are the mass percents of iron and oxygen in iron (III) oxide? B) How many grams of iron can be extracted from 1.00 kg of Fe 2O3? C) How many metric tons of hematite ore, 66.4% Fe 2O3, must be processed to produce 1.00 kg of iron? (1 metric ton = 1,000kg) Subscripts: 1. 2. represent the atom ratio in a compound represent the mole ratio in a compound Diatomic Elements: Elements that due to there chemical reactivity exist only as molecules of 2 atoms in nature. 7 diatomic elements: 5 Simplest Formula from Chemical Analysis (Empirical Formula): Simplest formula – (empirical formula) – Calculating the empirical formula: 1. can be determined from masses of the individual elements or the % composition of the elements in a compound 2. if %’s are given consider the sample to be of 100 grams and so the %’s become the masses in grams: For example: 25.6% = 25.6 g 3. convert the mass of each element to moles 4. divide each number of moles by the smallest number of moles of all of the answers to #3 5. * If the answers to #4 are whole numbers, these are the subscripts in the empirical formula. * If any of the answers to #4 is not a whole number, convert all answers to a common fraction. Multiply each fraction by the denominator resulting in a whole number and these are the subscripts in the empirical formula. Common Fractions: 0.25 0.33 0.50 0.66 0.75 Example 6: A 25.00g sample of an orange compound contains 6.64g of potassium, 8.84g of chromium, and 9.52g of oxygen. Find the empirical formula. 6 Example 7: The compound that gives vinegar its sour taste is acetic acid, which contains the elements carbon, hydrogen, and oxygen. When 5.00g of acetic acid is analyzed it is found to contain 2.00g of carbon, 0.336g of hydrogen, and 2.66g of oxygen. What is the empirical formula of acetic acid? Molecular Formula: Molecular formula – Calculating the molecular formula: 1. find the molar mass of the empirical formula 2. divide the molecular molar mass (given in the question) by the empirical molar mass MMM EMM 3. multiply each subscript in the empirical formula by the answer to #2, these are the subscripts for the molecular formula Example 8: The molecular molar mass of acetic acid is 60.0 g/mole. According to the empirical formula found in example 3.6, what is the molecular formula of acetic acid? 7