Instructors Guide: Percent Composition Standards Connections Connections to NSTA Standards for Science Teacher Preparation • • • C.3.a.6 – Mole concept… and laws of composition. C.3.c.31 – Mathematical… and skills…. C.1.3 – Measurement as a way of knowing and organizing observations of constancy and change Connections to the National Science Education Standards: Structure of Atoms • Matter is made of minute particles called atoms… These components have measurable properties, such as mass…. • … A compound is formed when two or more kinds of atoms bind together chemically. Connections to New York Chemistry Core Curriculum: • • • The formula mass of a substance is the sum of the atomic masses of its atoms. The molar mass (gram formulas mass) equals one mole of that substance. (3.3e) The percent composition by mass of each element in a compound can be calculated mathematically. (3.3f) … A chemical compound can be represented by a specific chemical formula….(3.1cc) Hints for Facilitation Model #1: The answers in the model are arbitrary; make the numbers personal to your own class. Model #2: The lab was actually performed and data was collected. The gum used was Eclipse Spearmint. Other types of gum will probably net different results. If using sugarfree gum the results will show very little loss of mass, and may even show an increase in mass. If you choose to do the experiment with your students, remember to take proper precautions when using food in a chemistry classroom. Be very careful to keep the gum on a clean surface when using chemical balances. Use paper towels to ensure no contamination. Key Question #2 and 3: A Limiting response to a student question would be – Saliva would make the mass heavier, right? What would happen to the percentage then? A Promoting response to a student question would be – Think about what would happen to the mass if the saliva wasn’t there? Exercises #3 – 6: ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 1/8 Percent Composition Teachers may want to remind students what the subscripts and parenthesis mean when discussing formula masses for compounds Suggestions for appropriate demonstrations, manipulatives, etc., that will enhance the activity. Demonstration: (Practice this before doing for the class!) This activity deals with the percent composition by mass of the water that exists in a bag of microwave popcorn. Popcorn is a good analogy for loss of water in a hydrate, thus can be expanded to be used as such. This demonstration can be done in a lab room or lecture room with access to a microwave. Also needed is a bag of microwaveable popcorn. Pre – demonstration questions: 1. Ask students if they know what makes popcorn ‘pop’? (water) 2. What role does the microwave play? (Heats up the water in the kernel which ultimately expands to stress out the integrity of the pop corn shell) 3. Is it possible to figure out how much water is contained in the bag of popcorn? (yes) 4. You can ask students to devise a procedure in order to figure out how much water is in the bag of popcorn. (Subtract the bag before popping and after popping (open bag) – the water is missing) 5. Should the bag be heavier or lighter? (lighter) 6. (Eat! – But if in a lab room take appropriate precautions.) Calculations: • Have students find the percentage water in the popcorn. Expansion: • This can be expanded to compare popcorn brands – economic twist. ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 2/8 Percent Composition Percent Composition Why? Congratulations! On your last chemistry exam you answered 38 of 40 questions correctly. You achieved a grade of 95%! The percentage grade on your exam indicates the part of the exam you answered correctly. The part of the exam that you answered incorrectly is only 5%, or 2 questions. Percentage is also a useful tool in chemistry. The percent composition by mass of a compound represents the percent that each element in a compound contributes to the total mass of the compound. A chemist often compares the percent composition of an unknown compound with the percent composition calculated from the formula of a known compound. If the percentages agree it may confirm the identity of the unknown. Learning Objectives • • Understand what is meant by percent composition by mass of a compound. Ability to determine the percent composition by mass of a compound. Success Criteria • • • Calculate the percent composition by mass of the elements in a variety of chemical compounds. Explain the procedure used to determine the percent composition of a compound. Use percent composition to arrive at conclusions regarding compounds. Prerequisites and Vocabulary • • • • • Symbols and names of elements Atomic mass Molar mass Chemical formulas Hydrated crystal ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 3/8 Percent Composition Task 1 Using the students present in class today, complete the data table in Model 1. [Note that Percent = (part/total) x 100.] Model 1 Item Students Total # of Students 25 Total # of Girls 17 Total # of Boys 8 Percent Girls 68% Percent Boys 32% The calculation below is based on the theoretical data shown in the chart. Key Questions 1. Describe how one could calculate the percent of boys present today using the data in the chart. Number of boys / total number of students) x 100 2. What is the percent of boys present today, based on the data in the chart? 8 × 100 = 32% 25 Task 2 When you chew a piece of gum, mass is lost as the sugar dissolves. After the sweetness is gone, only the ‘gum’ remains. Given a piece of gum to chew, each student will collect data to complete the data table in Model 2. As a team, propose and describe below an experimental procedure that will permit you to collect the data needed to determine the percent of sugar in the gum. Do not proceed with the experiment until your instructor has approved your procedure. Answers may include: Materials: • Balance • Gum • Weigh paper or napkin Procedure • Mass of gum before (in g) • Chew gum for a period of time (ex. 10 minutes) • Mass of gum after (in g) ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 4/8 Percent Composition Use the space below to collect your data – put into Model 2 on the next page. Data: Mass of gum before: 1.50 g Mass of gum after 10 minutes: 0.70 g Difference (mass before – mass after): 0.80 g Model 2 Item Total Mass Mass of sugar Mass of gum Percent sugar Percent gum Chewing Gum 1.50 g 0.80 g 0.70 g 53% 47% Key Questions 1. Show the set-up used to determine the percent by mass of sugar in the chewing gum. 0.80 g × 100 1.50 g 2. What is the percent of sugar in the chewing gum? 53% 3. At the end of this experiment the gum is wet with saliva. How does the presence of the saliva influence the percentage reported in Question 2? Saliva would increase the reported percentage of sugar 4. What method could be used to eliminate the error introduced by the presence of the saliva? Dry the gum before determining the final mass. Model 3 Item Total Mass CH4, methane 16.0 g Mass of carbon 12.0 g ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University Mass of hydrogen 4.0 g Percent carbon 75.0% Percent hydrogen 25.0% 5/8 Percent Composition Key Question 1. What is the mass of carbon in 16.0 g of methane? 12.0 g C 2. Show the set-up that would be used to determine the percent by mass of carbon in methane in order to arrive at the answer shown in the Model 3 table. 12.0 g 16.0 g × 100 3. What information do you need in order to determine the percent composition by mass of sodium in sodium chloride? Formula for sodium chloride Atomic mass of sodium and chlorine OR Mass of sodium or chlorine in a known mass sample of sodium chloride Exercises Show set-up used to solve each exercise. Round atomic masses to the nearest tenth. 1. Write the general mathematical formula that can be used to calculate the percent composition by mass of any substance? mass ~ of ~ part × 100 mass ~ of ~ whole 2. Use the atomic masses of the elements to determine the percent composition by mass of sodium and chlorine in sodium chloride. Sodium = Na = 23.0 g Chlorine = Cl = 35.5 g Sodium Chloride = NaCl = 58.5 g Sodium: 23.0 g × 100 = 39.3% 58.5 g Chlorine: 35.5 g × 100 = 60.7% 58.5 g 3. Use the atomic masses of the elements to find the percent composition of hydrogen in H2O. Hydrogen = H = 1.0 g x 2 H = 2.0 g ; Oxygen = O = 16.0 g Water = H2O = 18.0 g ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 6/8 Percent Composition Hydrogen: 2.0 g × 100 = 11.1% 18.0 g 4. Determine the percent composition of oxygen in potassium chlorate, KClO3 • Potassium = K = 39.1 g • Chlorine = Cl = 35.5 g • Oxygen = O = 16.0 g x 3 O = 48.0 g • Potassium Chlorate = KClO3 = 122.6 g Oxygen: 48.0 g × 100 = 39.2% 122.6 g 5. Determine the percent composition of phosphorus in calcium phosphate, Ca3(PO4)2. • • • • • Calcium = Ca = 40.1 g x 3 = 120.3 g Phosphorus = P = 31.0 g x 2 = 62.0 g Oxygen = O = 16.0 g x 8 = 128.0 g Calcium Phosphate = Ca3(PO4)2 = 310.3 g Phosphorus: 62.0 g × 100 = 20.0% 310.3 g 6. Copper (II) sulfate pentahydrate, with the formula CuSO4· 5H2O, has a deep blue color. When heated to remove the water, the crystals crumble and turn white. What is the percentage, by mass, of water in copper (II) sulfate pentahydrate crystals? % Water: 90.0 g × 100 = 36.0% 249.5 g Problems Show set-up used to solve each problem. 1. The percent of oxygen in a colorless liquid is determined to be 94.1%. Is this liquid water or hydrogen peroxide (H2O2)? 16.0 g Oxygen in water (H2O): × 100 = 88.8% 18.0 g Oxygen in hydrogen peroxide (H2O2): ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 32.0 g × 100 = 94.1% 34.0 g 7/8 Percent Composition 2. What is the percent composition of a compound that contains 8.1 grams of nickel and 2.2 grams of oxygen in a 10.3-gram sample? Nickel: 8.1g × 100 = 78.6% 10.3 g Oxygen: 2.2 g × 100 = 21.4% 10.3g 3. Nicotine, the addictive drug in cigarettes, contains 74.0% carbon, 8.6% hydrogen, and 17.3% nitrogen. What mass of each element can be recovered from a 55.0gram sample of nicotine? Carbon: 74.0% x 55.0 g = 40.7 g Hydrogen: 8.6% X 55.0g = 4.7 g Nitrogen: 17.3% X 55.0 g = 9.57 g ©POGIL 2005, 2006 Revised by E. Graham, L. Giloni, B. Black and B. Horan Edited by Linda Padwa and David Hanson, Stony Brook University 8/8