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Ch. 3 Stoichiometry

Learn about atomic mass and stoichiometry, including calculating average masses, molar mass, percent composition, and empirical formulas in chemistry.

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Ch. 3 Stoichiometry

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  1. Its Back!! Ch. 3 Stoichiometry

  2. Atomic Mass • How heavy is an atom of oxygen? • There are different kinds of oxygen atoms. • More concerned with average atomic mass. • Based on abundance of each element in nature. • Don’t use grams because the numbers would be too small

  3. Measuring Atomic Mass • Unit is the Atomic Mass Unit (amu) • One twelfth the mass of a carbon-12 atom. • = 1.660540 * 10 -27 • Amu is the number on the periodic table • Refers to the mass of one atom of an element • Each isotope has its own atomic mass we need the average from percent abundance.

  4. Calculating averages • You have five rocks, four with a mass of 50 g, and one with a mass of 60 g. What is the average mass of the rocks? • Total mass = 4 x 50 + 1 x 60 = 260 g • Average mass = 4 x 50 + 1 x 60 = 260 g 5 5 • Average mass = 4 x 50 + 1 x 60 = 260 g 5 5 5

  5. Calculating averages • Average mass = (4/5) x 50 + (1/5) x 60 = 260 g • Average mass = .8 x 50 + .2 x 60 • 80% of the rocks were 50 grams • 20% of the rocks were 60 grams • Average = % as decimal x mass + % as decimal x mass + % as decimal x mass

  6. Atomic Mass • Is not a whole number because it is an average. • These are responsible for the decimal numbers on the periodic table.

  7. The Mole 6.02 X 1023 http://www.teachertube.com/viewVideo.php?title=Happy_Mole_Day_to_You_Chemistry_Song&video_id=41557

  8. Molar Mass • Molecular Mass/Molecular Weight: • The molecular mass/weight is the amount of mass in 1 mole of the molecule.

  9. Molar Mass • Molar mass of atoms: • 1 mole of Br atom = 79.9 g / mole. • 1 mole of Sn atom = 118.7 g / mole. • Molar masses for compounds or Molecules are the sum of molar masses of each atom. • 1 Mole of CaCl2 = 111.1 g / mole {40.1 + 2(35.5)}

  10. Percent composition • Percent of each element in a compound. TO Calculate: • Find the mass of each element • Divide that by the molar mass • Multiply by a 100.

  11. Percent Composition • Find the percent composition of CH4 • C= 1x 12g= 12g • H= 4 x 1g = 4g 16g is the molar mass of CH4 • % of C = 12/16 = 75% • % of H = 4/16 = 25%

  12. Empirical Formula

  13. Empirical Formulas • Empirical Formula = the lowest ratio of atoms in a molecule. • Ex. A sample is 59.53% C, 5.38%H, 10.68%N, and 24.40%O what is its empirical formula?

  14. Formula from percentage • Assume 100 g of sample • Divide by the molar mass for each element. • Find the smallest approximate whole number ratio of smallest number to each of the other element • Determine formula of the compound.

  15. Example 1. Determine the empirical formula of a compound that contains 36.5% sodium, 25.4% sulfur, and 38.1% oxygen.

  16. Assume 100 g of sample • Solution:  By assuming that we can study a 100g sample of the compound, we can change % to grams. so: • So the problem now reads: Determine the empirical formula of a compound that contains 36.5g sodium, 25.4g sulfur, and 38.1g oxygen.

  17. Divide by the molar mass for each element • Now we can solve them by finding the molar ratio by which the elements combine. • mass of that element in the sample moles of an element = --------------------- Molar mass of the element

  18. Divide by the molar mass for each element •     36.5 g# of moles of sodium = ------------- = 1.59 moles                                     23.0g/mole •                                      25.4g# of moles of sulfur = --------------- = 0.791 moles                                    32.1 g/mole •                                        38.1 g# of moles of oxygen = --------------- = 2.38 moles                                       16.0 g/mole         

  19. Find the smallest approximate whole number ratio of smallest number to each of the other element • # of moles of Na  = 1.59 moles                              -------------- = 2.01                              0.791 moles         • # of moles of S   = 0.791 moles                              -------------- = 1                              0.791 moles • # of moles of O   = 2.38  moles                              -------------- = 3.01                              0.791 moles

  20. Determine formula of the compound • The ratio shows that 2 atoms of sodium combine with 1 atom of sulfur and 3 atoms of oxygen, so our answer is Na2SO3. • Answer: Na2SO3

  21. Mass to moles(mass is already given) • Determine mass of each of the elements. • Divide by the molar mass for each element • Find the smallest approximate whole number ratio of smallest number to each of the other element • Determine formula of the compound.

  22. Solution:  Find the mass of the empirical formula (CH2): • C = 12.0 x 1 atom = 12.0 gH = 1.01 x 2 atoms = 2.02 g                               ----------14.0 g

  23. next, divide that number into the molecular mass: • 56.0 g-------  = 414.0 g • Now use that number, 4, as a multiplier for the subscripts in the empirical formula: • CH2 x 4 = C4H8 • Answer = C4H8

  24. Another Way to Determine Molecular Formulas Caffeine a stimulant found in coffee, contains, 49.48% carbon, 5.15% hydrogen, 28.87% nitrogen, and 16.49% oxygen by mass and has a molar mass of 194.2 g/mol determine molecular formula • Assume 100 total grams the element for each 100 grams of compound • Multiply by molar mass of the compound. • Divide by molar mass of the element.

  25. 49.48 g C x 194.2g x 1 mol C = 8.01 mol C 100g caffeine 1 mol 12.01g C • 5.15 g H x 194.2g x 1 mol H = 9.92 mol H 100g caffeine 1 mol 1.01g H • 28.87g N x 194.2g x 1 mol N = 4.002 mol N 100g caffeine 1 mol 14.01g N • 16.49 g O x 194.2g x 1 mol O = 2.001 mol O 100g caffeine 1 mol 16.0g O Molecular Formula C8H10N4O2

  26. Law of Conservation of Mass and Balancing Chemical Equations • Matter is neither created nor destroyed during a chemical reaction. Therefore, all the atoms that were present at the start of the reaction must be present at the end of the reaction.

  27. Steps to Balance Chemical Equations • Write the formula equation with the correct symbols and formulas. Na + Cl2 NaCl • Count the number of atoms of each element on each side of the arrow. • Balance atoms by using coefficients. 2Na + Cl2 2NaCl • Check your work by counting atoms of each element.

  28. Mole/Mole Problems • A balanced chemical equation • Determine the mole ratio • Set-Up problem….start with the given

  29. Li + O2 Li2O • Balance equation: 4 Li + O2 2 Li2O • Mole ratio of lithium to lithium oxide: 4 mol lithium to 2 mol lithium oxide • Set-Up problem, start with given.

  30. 2 mol Li x 2 mol Li2O = 4 mol Li Answer: 1 mol Li2O

  31. Mass/Mole and Mole/Mass Problems • Must have 3 pieces of information: • Balanced chemical equation • Mole ratio • Molar mass

  32. Problem 1 • What mass in grams of magnesium oxide is produced from 2.00 mol of magnesium? • Mg + O2 MgO • 2 Mg + O2 2 MgO • Molar Mass of MgO • 40.31 g/mol 2.00 mol Mg x 2 mol MgO x 40.31g MgO = 2 mol Mg mol MgO

  33. Mass/Mass Problems • Balanced equation • Mole ratio • Molar Masses

  34. Problem 1 • Tin (II) fluoride, SnF2 is used in toothpaste. How many grams of tin (II) fluoride are produced from the reaction of 30.0 g of HF with Sn? (Hydrogen is also a product.) • Sn + HF  SnF2 + H2 • Sn + 2 HF  SnF2 + H2

  35. Sn + 2 HF  SnF2 + H2 • How many grams of tin (II) fluoride are produced from the reaction of 30.0 g of HF with Sn? • Mole ratio? • 2 mole HF : 1 mole SnF2 • Molar masses of HF and SnF2? • HF: 20.01 g/mol • SnF2: 156.71 g/mol

  36. How many grams of SnF2 are produced from the reaction of 30.0 g of HF with Sn? 30.0gHF x mol HF x 1 mol SnF2 x 156.71gSnF2 20.01gHF 2 mol HF mol SnF2 Answer: 117 g SnF2

  37. Limiting Reactant Problems • Balanced chemical equation. • Determine the number of moles of each reactant. • Divide each number of moles of each reactant by the coefficient in the balanced equation. The smallest number is the limiting reactant. • Proceed with solving problem with original numbers of limiting reactant.

  38. Limiting Reactant Problem If 20.5 g of chlorine is reacted with 20.5 g of sodium, which is the limiting reactant? How much salt is formed? • Cl2 + Na  NaCl • Cl2 + 2 Na  2 NaCl

  39. Cl2 + 2 Na  2 NaCl • If 20.5 g of chlorine is reacted with 20.5 g of sodium, which is the limiting reactant? 20.5 g Cl2 x 1 mol Cl2 = 0.289 mol 70.9 g 20.5 g Na x 1 mol Na = 0.892 mol 22.99 g Cl2 : 0.289 ÷ 1 = 0.289 Na : 0.892 ÷ 2 = 0.445

  40. How much salt is formed? • Limiting Reactant? • Chlorine 0.289 mol Cl2 x 2 mol NaCl x 58.44 g NaCl 1 mol Cl2 1 mol NaCl 33.8 g NaCl

  41. Percent Yield • Theoretical Yield: the maximum amount of product that can be produced from a given amount of reactant. • Actual Yield: the measured amount of product obtained from a reaction.

  42. Percent Yield = Actual yield x 100 Theoretical yield

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