ࡱ> JLEFGHIc ةbjbjԚ Z\Z\}   !!!!!6"6"6"(^#D$\6"!'(((( 1 1 14666666$;PZ! 1/l 1 1 1Z!!(( ۄs6s6s6 1z!(!(4s6 14s6s6z<L( nB;J3~J 0!^~A6XALA!L 1 1s6 1 1 1 1 1ZZs6 1 1 1! 1 1 1 1A 1 1 1 1 1 1 1 1 1 > H : Honors Chemistry Name:_____________________________ Enloe High School Unit 6 Date:_______________Period:_________ The Mole and Stoichiometry Essential Standards Chm.2.2.5 Analyze quantitatively the composition of a substance (empirical formula, molecular formula, percent composition, and hydrates). Chm.2.2.4 Analyze the stoichiometric relationships inherent in a chemical reaction; Apply the mole concept, Avogadros number and conversion factors to chemical calculations: Students should be able to: Define SI units for time, length, mass, temperature and amount of substance Compare the derived units of density and volume Express numbers in scientific notation Perform operations in scientific notation Use significant figures and rounding to reflect the certainty of data Use the appropriate metric prefix and unit in measurements Convert between units of measurement using dimensional analysis Count significant figures Calculate with significant figures Calculate density. (D=m/V) Calculate formula mass. Convert representative particles to moles and moles to representative particles. (Representative particles are atoms, molecules, formula units, and ions.) Convert mass of atoms, molecules, and compounds to moles and moles of atoms, molecules, and compounds to mass. Convert representative particles to mass and mass to representative particles. Convert moles to volume and volume to moles at STP. Calculate empirical formula from mass or percent using experimental data. Calculate molecular formula from empirical formula given molecular Calculate molecular formula from empirical formula given molecular weight Determine percentage composition by mass of a given compound Perform calculations based on percent composition. Calculate using hydrates. Convert from mass, moles, volume, or particles of one species to mass, moles, volume, or particles of another species using mole ratios given by subscripts in the chemical formula. Interpret coefficients of a balanced equation as mole ratios. Use mole ratios from the balanced equation to calculate the quantity (moles, volume, mass) of one substance in a reaction given the quantity (moles, volume, mass) of another substance in the reaction. Use stoichiometry to determine the limiting reactant for a reaction. Calculate the amount of product in a limiting reactant problem Understand the difference between theoretical and actual (experimental) yield. Solve percent yield problems.   INCLUDEPICTURE "http://www.ibiblio.org/kuphaldt/electricCircuits/Ref/00356.png" \* MERGEFORMATINET   INCLUDEPICTURE "http://4.bp.blogspot.com/-_8fCwU6Ewrc/U-pbSRDMB6I/AAAAAAAAAEg/L94cY9EPWJk/s1600/metric%2Bprefixes.GIF" \* MERGEFORMATINET  Assignment 1: Units of Measurement and Metric Conversions Identify the quantity each measurement represents. ____________ a. 5.0 g/mL ____________ b. 37 s ____________ c. 47 J ____________ d. 39.56 g ____________ e. 25.3 cm3 ____________ f. 325 ms ____________ g. 500 m2 ____________ h. 30.23 mL ____________ i. 2.7 mg ____________ j. 0.005 L ____________ k. 2000.5 kg ____________ l. 63.5 km/h Use appropriate metric prefixes to write the following measurements without the use of exponents. ____________ a. 4.5 x 106 L ____________ b. 1.25 x 103 m ____________ c. 3.25 x 10 3 s ____________ d. 3.2 x 103 g ____________ e. 1.2 x 10-6 g Make the following metric conversions 1000 m = ______ km 1000 mm = ______ m 100 cm = ______ m 1m = ________cm 1m = ________mm 1 kg = _________ g Which of the following is larger? ____________ a. 10 cm or 10 mm ____________ b. 1m or 1 km ____________ c. 1 dg or 1 mg ____________ d. 1 L or 1 L Make the following metric conversions: a. ____________g = 22.5 mg ____________L = 15.0 mL c. ____________kg = 10.5 g d. ____________m = 1.57 km ____________g = 3.54 g ____________mol = 3.5 mol ____________mL = 1.2 L ____________mL = 358 cm3 ____________cm3 = 548.6 mL Make the following metric conversions. Use scientific notation to replace the prefix. Example: 453 mg = 453 x 10-3 m 3.5 mol = _________ mol 15 mm = ___________ m 31 cg = ___________ g 150 mg = ___________ g 654 nm = ___________ m 25 km = ___________ m 425 mL = __________ L Assignment 2: Recording Measurements   SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________   SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________   SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________   SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________  SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________  SHAPE \* MERGEFORMAT  Interval= _______ Estimated Place=____________ Value=_____________ Assignment 3: Counting Significant Digits How many significant digits are in each of the following? _____ 1. 40.7 L _____ 2. 87009 km _____ 3. 0.0095897 m _____ 4. 85.00 g _____ 5. 9.000000000 g _____ 6. 2000 lbs _____ 7. 20000. lbs _____ 8. 28.6 g _____ 9. 3440. cm _____10. 910 cm _____11. 0.04604 L _____12. 0.0067000 kg _____13. 804.05 g _____14. 0.0144030 km _____15. 1002 m _____16. 400 mL _____17. 0.000625 kg _____18. 7000 cm _____19. 7000. cm _____20. 7000.00 cm Assignment 4: Calculations Using Significant Figures When multiplying and dividing, limit and round tot the least number of significant figures in any of the factors. Example 1 23.0 cm * 432 cm * 19 cm = 188.784 cm The answer is expressed as 190,000 cm since 19 cm has only two significant figures. When adding and subtracting, limit and round your answer to the least number of decimal places in any of the numbers that make up you answer. Example 2 123.25 mL + 46.0 mL + 86.267 mL = 255.507 mL The answer is expressed as 255.5 mL since 46.0 mL has only one decimal place. Practice Perform the following operations expressing the answer in the correct number of significant figures. 1.35 m x 2.467 m = ____________________ 1,035 m / 42 m = ____________________ 12.01 mL + 35.2 mL + 6 mL = ____________________ 55.46 g 28.9 g = ____________________ .021 cm x 3.2 cm x 100.1 cm = ____________________ 0.15 cm + 1.15 cm + 2.051 cm = ____________________ 150 m / 4 sec = ____________________ 505 kg 450.25 kg = ____________________ 1.252 mm x 0.115 mm x 0.012 mm = ____________________ 1.278 * 10 m / 1.4267 * 10 m = ____________________ Assignment 5: Dimensional Analysis Practice Item NumberProblemDimensional AnalysisAnswer1500 inches = ______ ft225 ft = _______ yd36.4 km = _______ miles430 in = ________ cm53.5 m3 = _______ cm36358 cm3 = _______ mL715 dm3 = _______ mL80.35 in = ________m90.75 L = _______ dm3 Assignment 6: Vocabulary Define these terms in your composition notebook. atomic mass atomic mass unit formula weight molecular weight (mass) mole molar mass Avogadros number particles standard temperature standard pressure STP percent composition by mass empirical formula molecular formula hydrates Assignment 7: The Mole What is a mole? What is Avogadros number and how is it related to the mole? What is the relationship between formula weight of a substance and its molar mass? What is the mass, in grams, of one mole of Carbon-12? How many carbon atoms are in one mole of carbon-12? What is the term used for this number? 1 mole of anything contains Avogadros number of objects (particles). 1 mole of 12C = 6.022 x 10 23 _______________________ 1 mole of H2O = 6.022 x 10 23 ________________________ 1 mole of NaCl = 6.022 x 10 23 Na+ _____________________ 1 mole of KCl = 6.022 x 10 23 KCl ____________________ The mass of 1 mole of a substance is always equal to the FW (formula weight) expressed in grams. 1 mole of 12C = 12.0 grams 1 mole of H2O = 18.0 grams 1 mole of NaCl = 58.5 grams 1 mole of Na+ ions = 23.0 grams 1 mole of KCl = 74.6 grams The volume of 1 mole of any gas at STP (Standard Temperature and Pressure) is 22.4 L. 1 mol of H2 = 22.4 L @STP 1 mol of water vapor = 22.4 L @STP 1 mol of Ne = 22.4 L @STP 1 mol of CO2 = 22.4 L @STP 1 mol of O3 = 22.4 L @STP 1 mol of SO3 = 22.4 L @STP Assignment 8: Conversions There are three mole conversions: 1 mol = 6.022 x1023 particles 1 mol = molar mass (periodic table) 1 mol = 22.4 L for a gas at STP Each conversion can be written as a set of two conversion factors: 1 mole 6.022 x1023 particles 6.022 x1023 particles 1 mole 1 mole molar mass molar mass 1 mole 1 mole 22.4 L 22.4 L 1 mole Mole Particle Conversions Examples: How many moles of magnesium are 3.01 x 1022 atoms of magnesium? How many molecules are there in 4.00 moles of glucose, C6H12O6? In class practice: How many moles are in 1.20 x 1025 atoms of phosphorus? How many atoms are in 0.750 moles of zinc? How many molecules are in 0.400 moles of N2O5? Assignment 9: The Mole and Avogadros Number One mole of a substance contains Avogadros Number (6.022 x 1023) of molecules How many particles are in the quantities below? 2.0 moles of NO2 1.50 moles calcium 0.75 moles water 150 moles NH3 0.35 moles H2SO4  How many moles are in the number of particles below? 6.02 x 1023 molecules of CO2 1.204 x 1024 atoms of He 1.5 x 1020 ions of Ag+ 3.4 x 1026 formula units of CaBr2 7.5 x 1019 molecules of water  Assignment 11: Molar Mass Determine the molar mass of each compound below. KMnO4 ____________________ KCl ____________________ Na2SO4 ____________________ Ca(NO3)2 ____________________ Al2(SO4)3 ____________________ (NH4)3PO4 ____________________ CuSO4 5H2O ____________________ Mg3(PO4)2 ____________________ Zn(C2H3O2)2 2H2O ____________________ Zn3(PO4)2 4H2O ____________________ H2CO3 ____________________ Hg2Cr2O7 ____________________ Ba(ClO3)2 ____________________ Fe2(SO3)3 ____________________ NH4C2H3O2 ____________________ Assignment 12: Conversions; Mole Mass Conversions Examples: How many moles are in 28 grams of CO2? What is the mass of 5.0 moles of Fe2O3? In class practice: Find the number of moles of argon in 452 g of argon. Find the grams in 1.26 X 10-4 mol of HC2H3O2. Find the mass in 2.6 mol of lithium bromide. Assignment 13: Moles and Mass Determine the number of moles in each of the quantities below. 25 g of NaCl ____________________125 g of H2SO4 ____________________100. g of KMnO4 ____________________74 g of KCl ____________________35 g of CuSO4 5H2O ____________________ Determine the number of grams in each of the quantities below. 2.5 moles of NaCl ____________________0.50 moles H2SO4 ____________________1.70 moles of KMnO4 ____________________0.25 moles of KCl ____________________3.2 moles of CuSO4 5H2O ____________________ Assignment 14: Conversions; Mole Volume Conversions Examples: Determine the volume, in liters, occupied by 2.0 moles of a gas at STP. How many moles of argon atoms are present in 11.2 L of argon gas at STP? In Class Practice: What is the volume of 0.05 mol of neon gas at STP? What is the volume of 1.2 moles of water vapor at STP? How many moles of gas are there in a 400. L room at STP? Assignment 15: Moles and Volume Determine the number of moles in each of the quantities below. 44.8 L of H2 ____________________100. L of SO3 ____________________28.0 L of N2 ____________________60. L of He ____________________11 L of NH3 ____________________ Determine the number of liters in each of the quantities below. 1.00 mole of H2 ____________________3.20 moles SO3 ____________________0.750 moles of N2 ____________________1.75 moles of He ____________________0.50 moles of NH3 ____________________ Assignment 16: Mixed Mole Problems 1 Given unit ( Moles ( Desired unit How many oxygen molecules are in 3.36 L of oxygen gas at STP? Find the mass in grams of 2.00 x 1023 molecules of F2 Determine the volume in liters occupied by 14 g of nitrogen gas at STP. Find the mass, in grams, of 1.00 x 1023 molecules of N2 How many particles are there in 1.43 g of a molecular compound with a molar mass of 233g? Aspartame is an artificial sweetener that is 160 times sweeter than sucrose (table sugar) when dissolved in water. It is marketed by G.D. Searle as Nutra Sweet. The molecular formular of aspartame is C14H18N2O5. Calculate the molar mass of aspartame. How many moles of molecules are in 10.0 g of aspartame? What is the mass in grams of 1.56 moles of aspartame? How many molecules are in 5.0 mg of aspartame? How many atoms of nitrogen are in 1.2 grams of aspartame? Assignment 17: Mixed Mole Problems 2 *In 1.0 moles of H2O there are 2.0 moles of Hydrogen atoms and 1.0 moles of oxygen atoms Without doing any detailed calculations (but using a periodic table to give atomic weights), rank the following samples in order of increasing number of atoms: 0.50 mol H20; 23 g Na; 6.0 x 1023 N2 molecules. 23g Na, .50 mol H2O, 6.0*1023 N2 Without doing any detailed calculations (but using a periodic table to give atomic weights), rank the following samples in order of increasing number of atoms: 3.0 x 1023 molecules of H2O2; 2.0 mol CH4; 32 g O2 3.0*1023 molecules H2O2, 32g O2, 2.0 mol CH4 A sample of glucose, C6H12O6, contains 5.77 x 1020 atoms of carbon. How many atoms of hydrogen does it contain? 1.15*1021 atoms H How many molecules of glucose does it contain? 9.62*1019 molecules C6H12O6 How many moles of glucose does it contain? 1.60*10-4 mol C6H12O6 What is the mass of this sample in grams? 0.0288 g glucose What is the molar mass of a substance that when there are 0.34 moles it weighs 26.2 grams? 77 g/mol How many moles of CaBr2 are in 34.0 grams of CaBr2 0.170 mol CaBr2 How many grams are in 7.57 x 1023 molecules of N2O5? 136 g N2O5 Calculate the number of molecules in 0.245 mol CH3OH. 1.47*1023 molecules CH3OH What is the mass in grams of 1.73 mol CaH2? 72.8 g CaH2 Calculate the number of H atoms in 0.585 mol C4H10. 3.52*1024 atoms of H How many liters are in 5.35 x 1024 molecules of hydrogen gas? 199 L H2 Calculate the moles of Chloride ions in 4.97 g of Aluminum Chloride. .112 mol Cl1- ions Assignment 18: Percent Composition The formula of a compound tells us the number of atoms or ions of each type in a unit of the compound. The Percent Composition by Mass is the % by mass of each element in the compound. Percent composition = subscript of element x molar mass of element molar mass of compound Percent Composition can also be experimentally determined. percent composition = mass of component in a sample total mass of the sample Calculate the percent composition by mass of each element in the following compounds: KMnO4 %K = 24.74, %Mn = 34.76, %O = 40.50 Ca(C2H3O2)2 %Ca = 29.88, %C = 17.91, %H = 4.51, %O = 47.71 PtCl2(NH3)2 %Pt = 65.02, %Cl = 23.93, %N = 9.34, %H = 2.02 CuCl2 %Cu = 47.27, %Cl = 52.72 SO3 %S = 40.05, %O = 59.95 CCl4 %C = 7.81, %Cl = 92.19 CH3OH %C = 37.48, %H = 12.58, %O = 49.93 (NH4)2SO4 %N = 21.20, %H = 6.10, %S = 24.27, %O = 48.43 Calculate the percent composition by mass of the indicated element in each of the following: % Cr in (NH4)2Cr2O7 41.25% Cr % H in Mg (C2H3O2)2 4.25% H % Pt in PtCl3 64.72% Pt % Cl in NH4Cl %66.27 Cl Assignment 19: Empirical Formulas (Section 3.5 and 3.6, Chang), (Section 3.5, Brown and LeMay) What is the difference between an empirical and molecular formula? Molecule formula is a whole number multiple of the empirical formula Give the empirical formula for each of the following compounds. C2N2 CN C6H6 CH C9H20 C9H20 P4H10 P2O5 B2H6 BH3 AlBr3 AlBr3 Na2S2O4 NaSO2 N2O5 N2O5 K2Cr2O7 K2Cr2O7 C9H12 C3H4 The process of finding an empirical formula can be summarized as follows: % to mass mass to moles divide by small multiply until whole Examples Ascorbic acid is 40.92 % C, 4.58 % H, and 54.50 % O by mass. Find the empirical formula. C3H4O3 A sample of a compound contains 3.758 g of Carbon, 0.316 g Hydrogen, and 1.251 g of Oxygen. Find the empirical formula. C4H4O 6.21 g of a cerium (?) iodide contains 1.67 g Cerium (Ce). Assuming that the rest of the mass is due to iodine, find the empirical formula. CeI3 Problems Determine the empirical formula for each of the following. 5.28 g Sn and 3.37 g F SnF4 0.104 mol Na, 0.052 mol S, and 0.156 mole O Na2SO3 11.66 g Iron and 5.01 g Oxygen Fe2O3 40.0 % C, 6.7 % H, and 53.3 % O CH2O 10.4 % C, 27.8 % S, and 61.7 % Cl CSCl2 21.7 % C, 9.6 % O, 68.7 % F C3OF6 Assignment 20: Hydrate Formulas A hydrate is an ionic compound with water molecules loosely bonded to its crystal structure. The water is in a specific ratio to each formula unit of the salt. For example, the formula CuSO4 % 5H2O indicates that there are five water molecules for every one formula unit of Copper(II) Sulfate. Examples What is the formula for each of the following hydrates below? 0.391 g Li2SiF6 and 0.0903 g H2O Li2SiF6 % 2H2O 0.737 g MgSO3 and 0.763 g H2O MgSO3 % 6H2O Problems 95.3 g LiNO3 and 74.7 g H2O LiNO3 % 3H2O 76.9 % CaSO3 and 23.1 % H2O CaSO3 % 2H2O 89.2 % BaBr2 and 10.8 % H2O BaBr2 %2H2O Epsom salts, a strong laxative used in veterinary medicine, is a hydrate, which means that a certain number of water molecules care included in the solid structure. The formula for Epsom salts can be written as MgSO4 x H2O, where x indicates the number of moles of water per mole of MgSO4. When 5.061 g of this hydrate is heated to 250 C, all of the water of hydration is lost, leaving 2.472 g of MgSO4. Determine the formula for the hydrate. MgSO4 %7H2O Washing soda, a compound used to prepare hard water for washing laundry, is a hydrate, Its formula can be written as Na2CO3 x H2O, where x is the number of moles of water per mole of Na2CO3. When a 2.558 g sample of washing soda is heated at 125 C, all the water of hydration is lost, leaving 0.948 g of Na2CO3. What is the formula for the hydrate? Na2CO3 % 10H2O Assignment 21: Molecular Formulas (p. 83-84 Chang) (p. 93, Brown and LeMay) The process of finding a molecular formula: Find the empirical formula. Calculate the FW of the empirical formula. Find the Molecular Weight given in the problem. Divide the MW by the FW. Round to a whole number. Multiply all subscripts in the empirical formula by the whole number. Examples Mesitylene has an empirical formula of C3H4. The molecular weight is 121 amu. Find the molecular formula. C9H12 Ethanol is 52.2 % C, 13.0 % H, and 34.8 % O. It has a molar mass of 46.0 g. Find the molecular formula. C2H6O2 Problems Benzene has a molecular weight of 78 amu and the empirical formula CH. Find the molecular formula. C6H6 What is the molecular formula of a substance with a molar mass of 184.5 g/mol and the empirical formula CClN? C3Cl3N3 Find the molecular formula for epinephrine (adrenaline) a hormone secreted into the bloodstream in times of danger or stress. It is found to be 59.0 % C, 7.1 % H, 26.2 % O, and 7.7 % N by mass. The molecular weight is about 180 amu. C9H13O3N Find the molecular formula for nicotine, a component of tobacco. 74.1 % C, 8.6 % H, 17.3 % N Molar mass = 160 +/- 5 g C10H14N2 Find the molecular formula for ethylene glycol, the substance used as the primary coolant in antifreeze solutions. 38.7 % C, 9.7 % H, 51.6 % O MW = 62.1 amu C2H6O2 Find the molecular formula for caffeine, a stimulant found in coffee. 49.5 % C, 5.15 % H, 28.9 % N, 16.5 % O Molar mass is about 195 g C8H10N4O2 Assignment 22: Mass Relationships in Chemical Reactions Stoichiometry is the quantitative study of reactants and products in a chemical reaction. The coefficients in a chemical equation can be interpreted as the number of moles of each substance. Problem solving method: Write the correct formulas for all reactants and products. Balance the equation. Convert the quantities of the given or known substances into moles. Use the mole ratio from the balanced equation to convert to moles of the substance needed. Convert the moles needed to the unit that is specified in the problem. Check that your answer is reasonable. Examples: How many moles of H2 will be formed by the complete reaction of 6.23 moles of lithium with water? How many grams of H2 will be formed by the complete reaction of 80.57 grams of lithium with water? The reaction of NO with oxygen forms nitrogen dioxide. How many moles of NO2 are formed by the complete reaction of 0.254 moles of O2? How many grams of NO2 are formed by the complete reaction of 1.44 g of NO? What mass of CO2 is produced by the complete combustion of 856 g of C6H12O6? What mass of oxygen is required to burn 209 grams of methanol (CH3OH) What mass of CO2 will be produced by the combustion of 209 g of methanol? Stoichiometry: Name: ________________________ Mole-Mole Problems 1. N2 + 3NH3 ( 2NH3 How many moles of hydrogen are needed to completely react with two moles of nitrogen? 2. 2KClO3 ( 2KCl + 3O2 How many moles of oxygen are produced by the decomposition of six moles of potassium chlorate? 3. Zn + 2HCl ( ZnCl2 + H2 How many moles of hydrogen are produced from the reaction of three moles of zinc with an excess of hydrochloric acid? 4. C3H8 + 5O2 ( 3CO2 + 4H2O How many moles of oxygen are necessary to react completely with four moles of propane (C3H8 )? 5. K3PO4 + Al(NO3)3 ( 3KNO3 + AlPO4 How many moles of potassium nitrate are produced when two moles of potassium phosphate react with two moles of aluminum nitrate? Stoichiometry: Name: ________________________ Volume-Volume Problems 1. N2 + 3H2 ( 2NH3 What volume of hydrogen is necessary to react with five liters of nitrogen to produce ammonia? (Assume constant temperature and pressure) 2. What volume of ammonia is produced in the reaction in problem 1? 3. C3H8 + 5O2 ( 3CO2 + 4H2O If 20 liters of oxygen are consumed in the above reaction, how many liters of carbon dioxide are produced? 4. 2H2O ( 2H2 + O2 If 30 mL of hydrogen are produced in the above reaction, how many milliliters of oxygen are produced? 5. 2CO + O2 ( 2CO2 How many liters of carbon dioxide are produced if 75 liters of carbon monoxide are burned in oxygen? How many liters of oxygen are necessary? Stoichiometry: Name: ________________________ Mass-Mass Problems 1. 2KClO3 ( 2KCl + 3O2 How many grams of potassium chloride are produced if 25g of potassium chlorate decompose? 2. N2 + 3H2 ( 2NH3 How many grams of hydrogen are necessary to react completely with 5.0g of nitrogen in the above reaction? 3. How many grams of ammonia are produced in the reaction in problem 2? 4. 2AgNO3 + BaCl2 ( 2AgCl + Ba(NO3)2 How many grams of silver chloride are produced from 5.0g of silver nitrate reacting with an excess of barium chloride? 5. How much barium chloride is necessary to react with the silver nitrate in problem 4? Stoichiometry: Name: ________________________ Mixed Problems 1. N2 + 3H2 ( 2NH3 What volume of NH3 at STP is produced if 25.0g of N2 is reacted with an excess of H2? 2. 2KClO3 ( 2KCl + 3O2 If 5.0g of KClO3 is decomposed, what volume of O2 is produced at STP? 3. How many grams of KCl are produced in problem 2? 4. Zn + 2HCl ( ZnCl2 + H2 What volume of hydrogen at STP is produced when 2.5g of zinc react with an excess of hydrochloric acid? 5. H2CO4 + 2NaOH ( H2O + Na2CO4 How many molecules of water are produced if 2.0g of sodium sulfate are produced in the above reaction? 6. 2AlCl3 ( 2Al + 3Cl2 If 10.0g of aluminum chloride are decomposed, how many molecules of Cl2 are produced? Assignment 23: Limiting Reactants Reactions are not usually carried out by combining amounts of reactants that are indicated in the balanced equation. Usually one reactant will be used up and one or more reactants will be left over. The limiting reactant/reagent, is the reactant that is used up first in a reaction. The excess reactant/reagent, is the reactant that is present in greater quantities than necessary to react with the limiting reactant. There can be more than one excess reactant. Urea ((NH2)2CO) is prepared by reacting ammonia with carbon dioxide. Water is the other product. Consider the reaction of 637.2 grams of ammonia with 1,142 g of CO2. The reaction is given here: 2NH3 + CO2 ( (NH2)2CO + H2O What is the maximum mass of urea that can be formed? What is the limiting reactant? How much of the excess reactant remains? Consider the reaction between aluminum and iron (III) oxide. In one process, 124 g of aluminum reacts with 601 g of iron (III) oxide. What is the maximum mass of iron that could be produced? What is the limiting reactant? How much of the excess reactant remains? Stoichiometry: Name: ___________________________________ Limiting Reagent 1. N2 + 3H2 ( 2NH3 How many grams of NH3 can be produced from the reaction of 28g of N2 and 25g of H2? 2. How much of the excess reagent in problem 1 is left over? 3. Mg + 2HCl ( MgCl2 + H2 What volume of hydrogen at STP is produced from the reaction of 50.0g of Mg and the equivalent of 75g of HCl? 4. How much of the excess reagent in problem 3 is left over? 5. 3AgNO3 + Na3PO4 ( Ag3PO4 + 3NaNO3 Silver nitrate and sodium phosphate are reacted in equal amounts of 200.0g each. How many grams of silver phosphate are produced? 6. How much of the excess reagent in problem 5 is left? Limiting Reactants Limiting reactant Excess reactant- Assume all gases are at STP. 1. Carbon reacts with oxygen to produce carbon dioxide. a. Write the balanced equation showing physical states b. How many grams of CO2 are formed if 10.0 g of carbon are burned in 20.0 L of O2? c. What is the limiting reactant? 2. Calcium reacts with water to produce solid calcium hydroxide, Ca(OH)2, and hydrogen gas. a. Write the balanced equation showing physical states b. What volume of hydrogen is formed when 15.0 g of calcium reacts with 10.0 g of water? c. What is the limiting reactant? 3. Sodium metal reacts with chlorine to produce crystalline sodium chloride, NaCl. a. Write the balanced equation showing physical states b. How much sodium chloride is produced when 2.50g of sodium reacts with 2.5 L of chlorine gas? c. What is the limiting reactant? 4. Glucose, C6H12O6 (s), undergoes combustion to form the same products as a hydrocarbon. a. Write the balanced equation showing physical states. b. What mass of carbon dioxide is formed when 85.0 g of glucose combines with 75.0 L of oxygen? c. What volume does the carbon dioxide occupy? d. What is the limiting reactant? 5. Hydrogen sulfide reacts with an aqueous solution of iodine to produce hydroiodic acid, HI (aq) and sulfur. a. Write the balanced equation showing physical states b. What mass of sulfur is produced by 4.11g of iodine and 317 mL of hydrogen sulfide? c. What is the limiting reactant? 6. Chlorine combines with hydrogen bromide to produce bromine vapor and hydrogen chloride. a. Write the balanced equation showing physical states b. What volume of bromine vapor is produced when 212 mL and chlorine reacts with 155 mL of hydrogen bromide? c. What is the mass of this volume of bromine? d. What is the limiting reactant? e. What volume of the excess reactant remains? 7. 725 mL of ethane gas, C2H6, undergoes combustion in the presence of 3.5 L of oxygen. a. Write the balanced equation showing physical states b. What volume of carbon dioxide is formed if the reaction goes to completion? c. What is the limiting reactant? d. What volume of the excess reactant remains? 8. Zinc sulfide, ZnS(s) reacts with oxygen to produce zinc oxide, ZnO(s) and sulfur dioxide. a. Write the balanced equation showing physical states. b. What mass of zinc oxide could be produced from 418 g of zinc sulfide and 185 L of oxygen? c. What is the limiting reactant? d. How much of the excess reactant remain? 9. Use the same equation in #8 above to answer the questions below. a. What volume, at STP, of sulfur dioxide would be produced from 4.66g of zinc sulfide and 1250 mL of oxygen? b. What is the limiting reactant? c. How much excess reactant remains? 10. 8.4 grams of cyclopropane gas, C3H6, undergoes combustion. If 5.5 L of oxygen is available for this reaction: a. Write the balanced equation showing physical states. b. What is the limiting reactant? c. What is the excess reactant? d. What mass of carbon dioxide is formed? d. How much of the excess reactant remains? Percent Yield The percentage yield of a product is the actual amount of product expressed as a percentage of the calculated theoretical yield of that product. Actual yield the amount actually produced by the reaction Theoretical yield the calculated amount from the balanced equation. Assumes that the reaction goes to completion, that all of the reactants react, that all of the product is recovered and that there are no side reactions. The actual yield will always be less than the theoretical yield for various reasons. Percent yield = (Actual yield Theoretical yield) 100 Examples: In a certain industrial operation, 3.54 107 g of TiCl4 reacted with 1.13 107 g of magnesium. Calculate the theoretical yield of Ti. 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What is the percent yield if 803 g of vanadium were obtained in the process? Oil of wintergreen (methyl salicylate) is used in a variety of commercial products for its flavor and aroma. It is made by heating salicylic acid with methanol. C7H6O3 + CH3OH ( C8H8O3 + H2O A chemist starts with 1.75g of salicylic acid and excess methanol and calculates the maximum possible yield to be 1.93 g. However, after the reaction is run, the chemist finds that the amount of methyl salicylate produced and isolated is only 1.42 g. What is the percentage yield of the process? The actual amount of product in a reaction is 39.7 g although a mass- mass calculation predicted 65.6 g. What is the percent yield of this product? What is the percentage yield if 5.50 g of hydrogen react with excess nitrogen to form 20.4 g of ammonia? Write the balanced equation before you begin. The decomposition of potassium chlorate, KClO3 (s), is used by many laboratories to produce oxygen. The other product is potassium chloride, KCl (s). Write the balanced equation for the reaction If 75.6 g of KClO3 are decomposed in the lab producing 18 L of O2, what is the percent yield? 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