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III. Moles/Stoichiometry

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1 III. Moles/Stoichiometry

2 In all chemical reactions there is a conservation of mass, energy, and charge.
Matter cannot be created nor destroyed, only changed from one form to another Energy cannot be created nor destroyed, only changed from one form to another J Deutsch 2003

3 Types of chemical reactions include synthesis, decomposition, single replacement, and double replacement. Synthesis – one product forms from several reactants A + B  AB Na(s) + Cl2(g)  2NaCl(s) Decomposition – several products form from one reactant: AB  A + B 2KClO3(s)  2KCl(s) + 3O2(g) J Deutsch 2003

4 Precipitate – not soluble in water
Single replacement – an element higher on table J replaces another element in a compound that is lower on table J AB + C AC + B Zn(s) + CuSO4(aq) ZnSO4(aq) + Cu(s) Double replacement – two elements or groups of elements switch AB + CD AD + BC AgNO3(aq) + KCl(aq) KNO3(aq) + AgCl(s) Check Table F for insoluble compounds that form precipitates when solutions are mixed. Precipitate – not soluble in water J Deutsch 2003

5 A single replacement reaction will take place when:
A more active metal replaces a less active metal from its compound A more active nonmetal replaces a less active nonmetal from its compound Criss Cross to find the new formula Check Table J for the activity of metals and nonmetals. Zn +PbCl ZnCl2 + Pb Pb + ZnCl No Reaction Zinc is more active than lead J Deutsch 2003

6 A more active metal will replace a less active metal from its compound during a single replacement reaction. Zn + CuSO4 Cu + ZnSO4 Zinc replaces copper because zinc is more active than copper. Cu + ZnSO No Reaction Copper cannot replace zinc Hydrogen is on Table J to show which metals will react with acids (HCl, H2SO4, HNO3) to produce hydrogen. Zn + 2HCl ZnCl2 + H2 J Deutsch 2003

7 A double replacement reaction will take place when:
The reactants are in solution and one of the products is not soluble in water Check Table F for solubility rules A B + C D AD + CB A combines with D and B combines with C Criss Cross to find the new formulas Notice: the metal comes first J Deutsch 2003

8 Polyatomic ions are found on Reference Table E
J Deutsch 2003

9 AgCl is a precipitate because it is insoluble in water.
Check Table F to see if there is a precipitate during a double replacement reaction. AgCl is a precipitate because it is insoluble in water. J Deutsch 2003

10 A balanced chemical equation represents conservation of atoms
A balanced chemical equation represents conservation of atoms. The coefficients in a balanced chemical equation can be used to determine mole ratios in the reaction. A mole of molecules is made up of 6.02 x 1023 molecules A chemical equation is balanced to ensure the conservation of matter. The types and number of atoms on each side of the equation (before and after the reaction) must be equal. The total mass before the reaction must equal the total mass after the reaction has taken place. J Deutsch 2003

11 Chemical equations must be balanced so that mass can be conserved.
Word equation: hydrogen + oxygen water Chemical equation: 2H2 + O H2O J Deutsch 2003

12 How many on the left? How many on the right? What do I do?
Balance the reaction Fe + O Fe2O3 There are 2 oxygen atoms on the left and 3 on the right. To get them equal I need to multiply the left by 3 and the right by 2. These multiples are called coefficients and are placed in front of the formula. The yield sign and the plus separate the formulas. Fe + 3O Fe2O3 Now the number of iron atoms has to be balanced. There is one iron on the left and four on the right. Use a coefficient of 4 in front of the Fe on the left. 4Fe + 3O Fe2O3 Now it is correctly balanced J Deutsch 2003

13 Regents Question: 01/03 #46 According to Reference Table J, which of these metals will react most readily with 1.0 M HCl to produce H2(g)? Ca K Mg Zn þ J Deutsch 2003

14 The oxidation states of the elements are available on the Periodic Table of the Elements
J Deutsch 2003

15 To find the formula of a compound, use the criss-cross method
Write the symbol and oxidation state of the metal (lower electronegativiy if both are nonmetals) in the upper right hand corner of the symbol. Positive oxidation state is written first. Repeat for nonmetal (-) C4+ O2- Drop the sign C4 O2 Criss Cross C2 O4 Reduce if possible CO2 Although Carbon and Oxygen are both nonmetals, Carbon has a lower electronegativity and therefore uses a positive oxidation number J Deutsch 2003

16 When using the criss-cross method with polyatomic ions, use parenthesis ( )
Write the symbol and oxidation state of the metal (+ ion) in the upper right hand corner of the symbol. Repeat for nonmetal (- ion) (NH4) 1+ (PO4) 3- Drop the sign (NH4) (PO4) 3 Criss Cross (NH4) (PO4) 1 Reduce if possible (numbers outside parenthesis only) If there is no number following the parenthesis, drop the parenthesis. (NH4)3 PO4 J Deutsch 2003

17 Compounds are electrically neutral.
A compound is a substance composed of two or more different elements that are chemically combined in a fixed proportion. A chemical compound can be broken down by chemical means (not physical means.) A chemical compound can be represented by a specific chemical formula and assigned a name based on the IUPAC system. J Deutsch 2003 Compounds are electrically neutral.

18 The subscript of 1 is never written
A chemical formula is both qualitative and quantitative. It tells which elements are in the compound with symbols and how many of each with subscripts The formula for sulfuric acid is H2SO4 Element Number of atoms H S O The subscript of 1 is never written J Deutsch 2003

19 Compounds have more than one capital letter in the formula
Binary Compounds – Composed of just two elements (2 capital letters) Water H2O elements 3 atoms Methane CH elements 5 atoms Ammonia NH elements 4 atoms Aluminum oxide Al2O elements 5 atoms Other Compounds -more than 2 elements (more than 2 capital letters) Potassium hydroxide KOH elements 3 atoms Calcium sulfate CaSO elements 6 atoms Ammonium phosphate (NH4)3PO4 4 elements 20 atoms J Deutsch 2003

20 Regents Question: 08/02 #6 Which species represents a chemical compound? (1) N2 (2) Na (3) NH4+ (4) NaHCO3 A compound is made up of 2 or more different elements. A compound is electrically neutral. þ J Deutsch 2003

21 Regents Question: 08/02 #9 If an equation is balanced properly, both sides of the equation must have the same number of (1) atoms (2) coefficients (3) molecules (4) moles of molecules þ 2H2 + O H2O J Deutsch 2003

22 Regents Question: 06/03 #59 Given the reaction between two different elements in the gaseous state Box A below represents a mixture of the two reactants before the reaction occurs. The product of this reaction is a gas. Draw the system after the reaction has gone to completion, based on the Law of Conservation of Matter. One reactant is in excess. Box A – System before reaction Box B – System after reaction J Deutsch 2003

23 Regents Question: 08/03 #47 þ Given the unbalanced equation:
_Al + _CuSO _Al2(SO4)3 + _Cu When the equation is balanced using the smallest whole-number coefficients, what is the coefficient of Al? 1 (2) 2 (3) 3 (4) 4 þ J Deutsch 2003

24 Regents Question: 01/03 #48 þ Given the unbalanced equation:
_Fe2O3 + _CO _Fe + _CO2 When the equation is correctly balanced using the smallest whole-number coefficients, what is the coefficient of CO? 1 2 3 4 Try a 3 in front of CO2 þ J Deutsch 2003

25 Regents Question: 06/03 #9 Which substance can be decomposed by a chemical change? (1) Co (2) CO (3) Cr (4) Cu þ J Deutsch 2003

26 The formula mass of a substance is the sum of the atomic masses of its atoms. The molar mass (gram formula mass) of a substance equals one mole of that substance. Formula mass of H2SO4 H 2 x 1 = 2 S 1 x 32 = 32 O 4 x 16 = 64 98 amu J Deutsch 2003

27 The formula mass represents the mass of one molecule of a substance while the gram formula mass represents the mass of a mole (6.02 x 1023 molecules) of that substance. The calculation for formula mass and gram formula mass (GFM) are the same, the difference is in the units. Formula Mass of H2SO4 = 98 amu Gram Formula Mass of H2SO4 = 98 g If they tell you to use the mass rounded to the nearest tenth then use tenths for each mass as well as your final answer. J Deutsch 2003

28 Regents Question: 06/02 #41 þ The gram formula mass of NH4Cl is
22.4 g/mole 28.0 g/mole 53.5 g/mole 95.5 g/mole N 1 x 14.0 = H 4 x = Cl 1 x 35.5 = _______ g/mole þ J Deutsch 2003

29 Regents Question: 06/02 #34 A compound has a gram formula mass of 56 grams per mole. What is the molecular formula for this compound? CH2 C2H4 C3H6 C4H8 þ J Deutsch 2003

30 Grams/GFM = Moles To convert grams into moles, divide the grams by the gram formula mass To convert moles into grams, multiply by the moles by the gram formula mass The unit for gram formula mass is grams/mole How many moles in 49 grams of H2SO4? 49 g = X moles X= 0.50 moles 98 g/mol How many grams are contained in 2.00 moles of H2SO4? X = moles X = 196 grams J Deutsch 2003

31 Types of chemical formulas include empirical, molecular, and structural.
Molecular Formula Empirical Formula Structural Formula Which elements and how many of each in a molecule Which elements and the ratio of how many of each Shows the bonds and how the atoms are arranged C2H6 CH3 H H H C C H J Deutsch 2003

32 The empirical formula of a compound is the simplest whole-number ratio of atoms of the elements in a compound. It may be different from the molecular formula, which is the actual ratio of atoms in a molecule of that compound. Hydrogen peroxide Sugar molecular formula: H2O C6H12O empirical formula: HO CH2O J Deutsch 2003

33 Regents Question: 06/03 #8 þ Which is an empirical formula? (1) P2O5
J Deutsch 2003

34 The molecular formula must be a whole number multiple of the empirical formula
Molecular Empirical Multiple Formula Formula H2O HO C3H CH C6H12O CH2O Hg2O HgO J Deutsch 2003

35 The formula mass must be a whole number multiple of the empirical mass
Molecular Empirical Multiple Formula Mass Formula Mass H2O HO C3H CH C6H12O CH2O Hg2O HgO J Deutsch 2003

36 Regents Question: 06/03 #19 Which formula correctly represents the compo-sition of iron (III) oxide? (1) FeO3 (2) Fe2O3 (3) Fe3O (4) Fe3O2 þ J Deutsch 2003

37 The percent composition by mass of each element in a compound can be calculated mathematically.
Calculate the formula mass and then divide the component of the element you are looking for by the total mass of the formula then multiply by 100%. Formula mass of H2SO4 % of Oxygen in H2SO4 H 2 x 1 = /98 x 100% = 65% S 1 x 32 = O 4 x 16 = J Deutsch 2003

38 Regents Question: 01/03 #8 What is the percent by mass of oxygen in H2SO4? [ formula mass = 98] 16% 33% 65% 98% 64/98 x 100 þ J Deutsch 2003

39 Regents Question: 06/02 #7 The percent by mass of hydrogen in NH3 is equal to 17 x 100 1 (2) 17 x 100 3 1 x 100 17 (4) x 100 þ J Deutsch 2003

40 Regents Question: 06/03 #10 The percent by mass of calcium in the compound calcium sulfate (CaSO4 ) is approximately 15% (2) 29% (3) 34% (4) 47% þ J Deutsch 2003

41 A hydrate is a compound which has water trapped in its crystal structure. We can determine the percentage of water in a hydrate. CuSO45H2O – for every copper(II) sulfate there are 5 trapped water molecules Find the formula mass including the water Cu 1 x 64 = 64 S 1 x 32 = 32 O 4 x 16 = 64 H x 1 = 10 Water contributes 90 to O 5 x 16 = 80 the 250 /250 x 100% = 36% J Deutsch 2003

42 Regents Question: 06/02 #36 What is the total number of oxygen atoms in the formula MgSO4•7H2O? [The • represents seven units of H2O attached to one unit of MgSO4] 11 7 5 4 þ J Deutsch 2003

43 Use the coefficients to predict the amount of reactant consumed or product formed (Mole-Mole problems) The ratio of the coefficients is a ratio of the moles taking part in a reaction. Reactants (on the left of the arrow) are consumed Products (on the right of the arrow) are formed Given the number of moles of any substance in a reaction, you can use the coefficients to find the number of moles of any other substance. J Deutsch 2003

44 Place the moles given over the coefficient for that substance and set up a proportion with the coefficients. How many moles of oxygen are produced when 4 moles of KClO3 react according to the equation: 2 KClO KCl + 3 O2 X 2 KClO KCl + 3 O2 4 = X cross multiply to get 2X = 12 X=6 moles unknown given J Deutsch 2003

45 Regents Question: 01/03 #42 þ Given the equation:
2C2H2(g) + 5O2(g) CO2(g) + 2H2O(g) How many moles of oxygen are required to react completely with 1.0 mole of C2H2? 2.5 2.0 5.0 10 þ J Deutsch 2003

46 Regents Question: 06/02 #37 þ Given the reaction:
6CO2 +6H2O C6H12O6 + 6O2 what is the total number of moles of water needed to make 2.5 moles of C6H12O6 ? 2.5 6.0 12 15 þ J Deutsch 2003

47 Regents Question: 06/03 #20 þ Given the reaction:
PbCl2 (aq) + Na2CrO4 (aq) PbCrO4 (s) + 2NaCl(aq) What is the total number of moles of NaCl formed when 2 moles of Na2CrO4 react completely? (1) 1 mole (2) 2 moles (3) 3 moles (4) 4 moles þ J Deutsch 2003


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