# Equation Writing. CO 2 + H 2 O H 2 CO 3 reactants products

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1 Equation Writing A chemical equation is a concise shorthand expression which represents the relative amount of reactants and products involved in a chemical reaction. CO 2 + H 2 O H 2 CO 3 reactants products The first step in writing a chemical equation is the word equation. It is composed of the names of the materials that enter into chemical reaction, the reactants, and the names of the materials that result from the reaction, the products. The second step in writing a chemical equation is a skeleton equation. This equation includes the chemical formulas and symbols for all the reactants and products. The third step is a balanced equation. This equation is similar to the skeleton equation, but it also includes coefficients placed directly in front of the chemical formulas and symbols. The coefficients of a balanced equation indicate the number of units of each substance involved. Hydrogen burns in oxygen to form water. The reactants are hydrogen and oxygen. The product is water. The word equation for this reaction is Hydrogen + Oxygen Water It is read, hydrogen plus oxygen yield water. Since hydrogen and oxygen are diatomic gases, the H 2 and the O 2 represent one molecule of hydrogen and one molecule of oxygen. The compound, water, is represented by formula H 2 O. The skeleton equation is H 2 + O 2 H 2 O The Balanced Equation The skeleton equation indicates that two hydrogen atoms react with two oxygen atoms on the reactant side of the equation. On the product side, two hydrogen atoms are bonded to one oxygen atom. The equation is deficient by one oxygen atom on the product side. Balance the equation by putting coefficients directly in front of any of the reactants or products. A coefficient should be a whole number. Never change the subscripts. Changing the subscripts changes the chemical formula of the compound. Place a 2 in front of the H 2 O so that there are two oxygen atoms on each side of the equation. H 2 + O 2 2H 2 O The 2 placed in front of the H 2 O changes the balance of the hydrogen atoms. Correct this imbalance by placing another 2 in front of the H 2. The equation is now balanced. 2H 2 + O 2 2H 2 O 1

2 Symbols are used in an equation to indicate the physical state of each substance. The symbols used (placed in parenthesis) are (g) for gas, (l) for liquid, (c) for solid, (aq) for aqueous (water) solution, and (amor) for amorphous substances. 2H 2 (g) + O 2 (g) 2H 2 O(l) What can we infer from a balanced equation? An equation indicates: (1) Two parts of hydrogen react with one part of oxygen to yield two parts of water. (2) Two molecules of hydrogen react with one molecule of oxygen to give two molecules of water. (3) A quantitative relationship between the reactants and products. This relationship is the basis for working all quantitative problems. Steps in Writing a Balanced Equation Step 1. In writing a chemical equation, the reactants and the products are written down. If the products are not known, they can be predicted in many cases. Step 2. The formulas of each substance must be correct. The diatomic gases are hydrogen, H 2 ; nitrogen, N 2 ; oxygen, O 2 ; fluorine, F 2 ; chlorine, Cl 2 ; bromine, Br 2 ; and iodine,i 2. Step 3. The equation is then balanced. The balancing is done by putting a coefficient before compounds until the atoms of each element on one side of the equation equal the number of atoms of that element on the other side of the equation. Example 1 Sodium reacts with water to produce a metallic hydroxide and hydrogen gas. Write a balanced equation for the reaction. Solving Process: Step 1. Write the word equation. sodium + water sodium hydroxide + hydrogen Step 2. Write a skeleton equation. Since hydrogen is a diatomic gas, its formula is H 2. The formula for water may be written as HOH if this makes it easier to balance the equation. Na + 2HOH NaHO + H 2 Step 3. Balance the equation. The metallic element sodium is balanced. One atom of sodium is on each side of the equation. There is one hydrogen atom on the reactant side (the H in OH has been accounted for) and 2 hydrogen atoms on the product side. Place a 2 in front of the HOH to balance the hydrogen atoms. Na +2HOH NaOH +H 2 There are now 2OH on the left and 1 on the right. Place a 2 in front of the NaOH to give the same number of OH on each side. 2

3 Na + 2HOH 2NaOH + H 2 Put a 2 in front of the sodium metal. The balanced equation reads 2Na + 2HOH 2NaOH + H 2 Check visually to see if the equation is balanced, or list all the atoms (the hydroxide can be listed as OH or can be separated into Hand O) Reactants Products Na 2 2 H 4 4 O 2 2 Example 2 Iron (III) reacts with Carbon monoxide to give iron and carbon dioxide. What is the balanced equation? Solving Process: Step 1. Write the word equation. Iron(III) oxide + carbon monoxide iron + carbon dioxide Step 2. Write the formulas and symbols of all reactants and products. Fe 2 O 3 + CO Fe + CO 2 Step 3. Balance the ions Fe 2 O 3 + CO 2Fe + CO 2 The carbon atoms are already balanced. Visual inspection indicates that a 2 in front of the CO 2 to balance the oxygen atom changes the carbon atom balance. A 2 in front of the carbon monoxide results in an odd number of oxygen atoms on the reactant side. The change will not work because any number placed in front of the carbon dioxide will always give an even number of oxygen atoms on the product side. A 3 in front of the CO will give an even number of oxygen atoms on the reactant side. A 3 as the coefficient for CO 2 will balance the oxygen atoms and the carbon atoms. The balanced equation is: Fe 2 O 3 + 3CO 2Fe + 3CO 2 Check the equation. Reactants Products Fe 2 2 C 3 3 O 6 6 3

4 Example 3 Calcium hydroxide reacts with phosphoric acid to yield calcium phosphate and water. Determine the balanced equation. Solving Process: Step 1. Calcium hydroxide + Phosphoric acid calcium phosphate + water Step 2. Ca(OH) 2 + H 3 PO 4 Ca 3 (PO 4 ) 2 + HOH Step 3. Balance the calcium atoms by placing a 3 in front of the Ca(OH) 2. 3Ca(OH) 2 + H 3 PO 4 Ca 3 (PO 4 ) 2 + HOH Since the phosphate and hydroxide ions are on both sides of the equation they can be balanced as units. Place a 2 in front of the phosphoric acid to balance the PO 4 group. Note that 2PO 4 = (PO 4 )(PO 4 ). Place a 6 in front of the HOH to balance the OH group. 3Ca(OH) 2 + 2H 3 PO 4 Ca 3 (PO 4 ) 2 + 6HOH Visual inspection shows that the hydrogen in the H 3 PO 4 and the HOH is balanced. The hydrogen in the OH ion was balanced in Step 3. Reactants Products Ca 3 3 PO OH 6 6 H 6 6 We used to have only the smallest whole number coefficients. In balancing equations, you may sometimes obtain multiples of the smallest coefficients. If so, then reduce the coefficients to the smallest whole numbers possible. Problems Write formulas for and balance the following: 1. magnesium bromide + chlorine magnesium chloride + bromine 2. sodium + water sodium hydroxide + hydrogen 3. potassium nitrate potassium nitrate + oxygen 4. zinc + hydrochloric acid zinc chloride + hydrogen 5. calcium oxide + hydrochloric acid calcium chloride + water Write balanced equations for each of the following chemical reactions. 6. Mg + O 2 MgO 7. Fe + O 2 Fe 2 O 3 8. H 2 O + N 2 O 3 HNO 2 9. Na 2 O + H 2 O NaOH 10. Fe + H 2 O Fe 3 O 4 + H 2 4

5 Single Displacement The products of a chemical reaction may often be predicted by applying known facts about common reaction types. While there are hundreds of different kinds of chemical reactions, only four general types of reactions will be considered: single displacement, double displacement, decomposition, and synthesis. The following sections give examples of these general types. One metallic element displaces another metallic element in a compound, or a nonmetallic element displaces another nonmetallic element in a compound. A single displacement has the general form. element + compound element + compound A + BC AC + B (if A is a metal) X + BY BX + Y (if X is a nonmetal) The following are some general types of single displacement reactions. 1. An active metal will displace the metallic ion in a compound of a less active metal. Fe + Cu(NO 3 ) 2 Fe(NO 3 ) 2 + Cu Pb + 2AgC 2 H 3 O 2 Pb(C 2 H 3 O 2 ) + 2Ag 2. Some active metals such as sodium and calcium will react with water to give metallic hydroxide and hydrogen gas. 2Na + 2HCL ZnCl 2 + H 2 Ca + 2H 2 O Ca(OH) 2 + H 2 3. Active metals such as zinc, iron, and aluminum will displace the hydrogen in acids to give a salt and hydrogen gas. Zn + 2HCl ZnCl 2 + H 2 Fe + H 2 SO 4 FeSO 4 + H 2 4. Halogens (which are active nonmetals) will displace less active halogens. Cl 2 + 2NaBr 2NaCl + Br 2 Br 2 + 2Kl 2KBr + I 2 Double Displacement The positive and negative ions of two compounds are interchanged. The form of these reactions is easy to recognize. compound + compound compound + compound AB + CD AD + CB The following are some general types of double displacement reactions. 1. A reaction between and acid and a base yields a salt and water. Such a reaction is a neutralization reaction. 2KOH + H 2 SO 4 K 2 SO 4 + 2H 2 O Ca(OH) 2 + 2HNO 3 Ca(NO 3 ) 2 +H 2 O 5

6 2. Reaction of a salt with an acid forms a salt of the acid and a second acid which is volatile. 2KNO 3 + H 2 SO 4 K 2 SO 4 + 2HNO 3 FeS + 2HCl FeCl 2 + H 2 S 2NaCl + H 2 SO 4 Na 2 SO 4 + 2HCl This same reaction of a salt with an acid base may yield a compound which can be decomposed. CaCO 3 + 2HCL CaCl 2 + H2CO 3 H 2 CO 3 CO 2 + H 2 O Or CaCO 3 + 2HCL CaCl 2 + CO 2 + H 2 O K 3 SO 3 + 2HNO 3 2KNO 3 + SO 2 + H 2 O NH 4 Cl + NaOH NaCl + NH 3 + H Reaction of some soluble salts produce an insoluble salt and a soluble salt. AgNO 3 + NaCl AgCl + NaNO 3 Na 2 SO 4 + Ba(NO 3 ) 2 BaSO 2 +2NaNO 3 CuSO 4 + Na 2 S BaSO 4 + 2Na 2 SO 4 Ca(C 2 H 3 O 2 ) 2 + (NH 4 )2CO 3 CaCO 3 + 2NH 4 C 2 H 3 O 2 Decomposition When energy on the form of heat, electricity, light, or mechanical shock is supplied, a compound may decompose to form simpler compounds and/or elements. The general form for this type is reaction is compound two or more substances AB A + B The following are some general types of decomposition reactions. 1. If some acids are heated, they decompose to form water and an acidic oxide. H 2 SO 3 SO 2 + H 2 O H 2 CO 3 CO 2 + H 2 O 2. When some metallic hydroxides are heated, they decompose to for a metallic oxide and water. Ca(OH) 2 CaO + H 2 O 2Fe(OH) 3 Fe 2 O 3 + 3H 2 O 3. Some metallic carbonates decompose to form a metallic oxide and carbon dioxide when heated. Li 3 CO 3 Li 2 O + 3O 2 CaCO 3 CaO + CO 2 4. Metallic chlorates decompose to form metallic chlorides and oxygen when heated. 2KClO 3 2KCl +3O 2 Ni(ClO 3 ) 2 NiCl 2 +3O 2 6

7 5. Most metallic oxides are stable, but a few decompose when heated. 2HgO 2Hg +O 2 2Ag 2 O 4Ag +O 2 6. Some compounds cannot be decomposed by heat, but can be decomposed into their elements by electricity. 2H 2 O 2H 2 +O 2 2NaCl 2Na + Cl 2 MgCl 2 Mg + Cl 2 Synthesis In a synthesis reaction two or more simple substances (compounds and/or elements) are combined to form one new and more complex substance. Here the general form is element (or compound) + element (or compound) compound A + B AB The following are some general types of synthesis reactions. 1. Combination of elements. Fe + S FeS 2Na + Cl 2 2NaCl 2. Combination of an acid anhydride with water to give an acid. SO 2 + H 2 O H 2 SO 3 N 2 O 3 + H 2 O 2HNO 2 CO 2 + H 2 O H 2 CO 3 P 2 O 5 + 3H 2 O 2H 3 PO 4 3. Combination of a basic anhydride or a metallic oxide with water to form a base. Na 2 O + H 2 O 2NaOH CaO + H 2 O Ca(OH) 2 BaO + H 2 O Ba(OH) 2 4. Combination of the metal of a basic oxide with the nonmetal of an acidic oxide to form a salt. CO 2 + Na 2 O Na 2 CO 3 P 2 O + 3BaO Ba 3 (PO 4 ) 2 SO 2 + MgO MgSO 3 Chapter Review Problems Balance the following equations. 11. KClO 3 KCl + O PbO 2 PbO + O HgO Hg + O H 2 O H 2 + O 2 7

8 15. Al + Pb(NO 3 ) 2 Al(NO 3 ) 3 + Pb 16. Cu +AgNO 3 Cu(NO 3 ) 2 + Ag 17. K + H 2 O KOH +H MnO 2 +HCl MnCl 2 +Cl 2 + H 2 O 19. Cl 2 + LiI LiCl + I Ca(OH) 2 + HCl CaCl 2 + H 2 O 21. KOH + H 3 PO 4 K 3 PO 4 + H 2 O 22. Al(NO 3 ) 3 + H 2 SO 4 Al 2 (SO4) 3 +HNO Na 2 SO 3 + HCl NaCl + H 2 O + SO (NH 4 ) 2 SO 4 + KOH K 2 SO 4 + NH 3 + H 2 O 25. Pb(NO 3 ) 2 + K 2 S PbS + KNO 3 Write a balance equation and indicate the reaction type (single or double displacement, decomposition, or synthesis) for each of the following: 26. Aluminum nitrate(aq) + sodium hydroxide(aq) aluminum hydroxide(c) + sodium nitrate(aq) 27. Potassium chlorate(c) potassium chloride(c) + oxygen(g) 28. Phosphoric acid(aq) + magnesium hydroxide(aq) magnesium phosphate(c) + water(l) 29. Ammonium nitrite(c) nitrogen(g) + water(l) 30. Ammonia(g) + oxygen(g) nitrogen(ii)oxide(g) + water(g) 31. Barium chloride(aq) + sodium sulfate(aq) sodium chloride(aq) + barium sulfate(c) 32. Iron(III) oxide (c) + carbon monoxide(g) iron(c) + carbon dioxide(g) 33. Magnesium hydroxide(aq) + ammonium phosphate(aq) magnesium phosphate(c) + ammonia(g) + water(l) 34. Iron(III) bromide(aq) + ammonium sulfide(aq) iron(iii) sulfide(c) + ammonium bromide(aq) 35. Calcium oxide(c) + diphosphorus pentoxide(c) calcium phosphate(c) 36. Magnesium chloride(aq) + silver nitrate(aq) magnesium nitrate(aq) + silver chloride(c) 37. Sodium carbonate(aq) + sulfuric acid(aq) sodium sulfate(aq) + carbon dioxide(g) + water(l) 38. Aluminum hydroxide(c) + acetic acid(aq) aluminum acetate(g) +water(l) 39. Lead(II) nitrate(aq) + copper(ii) sulfate(aq) lead(ii) sulfate(c) +copper(ii) nitrate(aq) 40. Aluminum(c) + copper(ii) chloride(aq) aluminum chloride(aq) + copper(c) 41. iron(c) + silver acetate(aq) iron(ii) acetate(aq) + silver(c) 42. aluminum acetate(aq) + sodium hydroxide(aq) aluminum hydroxide(c) + sodium acetate(aq) 43. bromine(l) + calcium iodide(aq) calcium bromide(aq) + iodine(c) 44. copper(c) +sulfuric acid(aq) copper(ii) sulfate(aq) + sulfur dioxide(g) + water(l) 45. calcium hydroxide(aq) + phosphoric acid(aq) calcium phosphate(c) + water(l) 46. magnesium nitrate(aq) + sulfuric acid(aq) magnesium sulfate(aq) + nitric acid(aq) 47. potassium carbonate(aq) + barium chloride(aq) potassium chloride(aq) + barium carbonate(c) 48. aluminum chloride(aq) + sulfuric acid(aq) aluminum sulfate(aq) + hydrogen chloride(g) 49. cadmium phosphate(c) ammonium sulfide(aq) cadmium sulfide(c) + ammonium phosphate(aq) 50. sodium hydroxide(aq) + sulfuric acid(aq) sodium sulfate(aq) + water(l) 51. magnesium(c) + oxygen(c) 52. aluminum + hydrochloric acid(aq) 53. sodium oxide(c) + sulfur dioxide(g) 54. phosphoric acid(l) 8

9 55. sodium chlorate(c) 56. zinc chloride(aq) + ammonium sulfide(aq) 57. zinc sulfide(c) + oxygen(g) 58. calcium carbonate(c) 59. mercury(ii) sulfate(aq) + ammonium nitrate(aq) 60. iron(c) + copper(ii) sulfate(aq) 61. zinc(c) + sulfuric acid(aq) 62. dinitrogen pentoxide(c) + water(l) 63. chlorine(g) + magnesium iodide(aq) 64. potassium(c) + water(l) 65. iron(c) + hydrochloric acid(aq) 66. cobalt(iii) hydroxide(aq) + nitric acid(aq) 67. bromine(l) + sodium iodide(aq) 68. sodium hydroxide(aq) + phosphoric acid(aq) 69. ammonium sulfate(aq) + calcium hydroxide(aq) 70. silver nitrate(aq) + potassium chloride(aq) 71. magnesium hydroxide(aq) + phosphoric acid(aq) 72. iron(ii) sulfide(c) + hydrochloric acid(aq) 73. ammonium sulfide(aq) + iron(ii) nitrate(aq) 74. sulfuric acid(aq) + potassium hydroxide(aq) 75. aluminum sulfate(aq) + calcium phosphate(c) 76. barium carbonate(c) + hydrochloric acid(aq) 77. silver acetate(aq) + potassium chromate(aq) 78. ammonium phosphate(aq) + barium hydroxide (aq) 79. chromium(iii) sulfite(aq) + sulfuric acid(aq) 80. calcium hydroxide(aq) + nitric acid(aq) 9

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