# Balancing Chemical Equations

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1 Balancing Chemical Equations Aluminum reacts with copper(ii) chloride, CuCl 2, to form copper metal and aluminum chloride, AlCl 3 1. Identify the reactants and products. Aluminum and copper(ii) chloride are the reactants, and aluminum chloride and copper are the products. 2. Write a word equation for the reaction. aluminum + copper(ii) chloride aluminum chloride + copper 3. Write the equation using formulas for the reactants and products. Al + CuCl 2 AlCl 3 + Cu 4. Balance the equation one element at a time. The same number of each type of atom must appear on both sides. So far, there are three chlorine atoms on the right and only two on the left. To balance the number of chlorine atoms, you must multiply the amount of copper(ii) chloride by 3 and multiply the amount of aluminum chloride by 2. Al + 3CuCl 2 2AlCl 3 + Cu Al 1 2 Cu 3 1 Cl 6 6 This equation gives you two aluminum atoms on the right and only one on the left. So you need to multiply the amount of aluminum by 2. 2Al + 3CuCl 2 2AlCl 3 + Cu Al 2 2 Cu 3 1 Cl of 6

2 To balance the equation, multiply the amount of copper produced by 3. 2Al + 3CuCl 2 2AlCl 3 + 3Cu Al 2 2 Cu 3 3 Cl 6 6 Your Turn to Think 1. Combustion in automobile engines takes place when fuel and oxygen are combined and ignited in the cylinders of the engine. However, the air that provides the oxygen for combustion also introduces nitrogen into the engine. The nitrogen reacts with oxygen at the high temperatures present in the engine, producing nitrogen oxide compounds, which are a major component of smog. In one of these reactions, nitric oxide, NO, reacts with oxygen, O 2, to form nitrogen dioxide, NO 2. Write the balanced equation for this reaction. 2. During the centuries following the collapse of the western Roman Empire, marble (calcium carbonate, CaC ) was taken from the monuments of Rome and heated to form quicklime (calcium oxide, CaO), which was used to make plaster. Carbon dioxide, CO 2, was also produced in this decomposition reaction. Write the balanced equation for this reaction. 3. When a match is lit, sulfur (S 8 ) reacts with oxygen to release energy and form sulfur dioxide, SO 2 4. Zinc reacts with water to produce zinc hydroxide, Zn(OH) 2, and molecular hydrogen gas, H 2 5. Barium, Ba, reacts with sulfur, S 8, to form barium sulfide, BaS. Write the balanced equation for this synthesis reaction. 6. Automobile airbags rely on the decomposition of the compound sodium azide (NaN 3 ) to produce the nitrogen gas, N 2, needed to rapidly inflate the bag. Sodium is also produced in the reaction. Write the balanced equation for this decomposition reaction. 7. A useful single-displacement reaction involves thermite, which is a mixture of aluminum and iron oxide, Fe 2. When the thermite reaches a high temperature, the components react to produce molten iron, aluminum oxide (Al 2 ), and a great deal of energy. Write the balanced equation for the thermite reaction. 2 of 6

3 8. Acid indigestion can occur when the stomach produces too much hydrochloric acid, HCl. An old and effective remedy for this involves drinking a solution of baking soda (sodium hydrogen carbonate, NaHC ), which reacts with the hydrochloric acid to produce sodium chloride (NaCl), water, and carbon dioxide. Write the balanced equation for this reaction. 9. A problem with the remedy given in problem 8 for acid indigestion is that the carbon dioxide produced can cause discomfort. In many modern antacids, the active ingredient is magnesium hydroxide, Mg(OH) 2. When this compound reacts with the hydrochloric acid, a double-displacement reaction occurs that produces only water and magnesium chloride, MgCl 2 Sample Problem Write the equation that describes the formation of glucose and oxygen, by means of photosynthesis, from carbon dioxide and water. 1. Identify the reactants and products. Carbon dioxide and water, the reactants, form glucose and oxygen, the products. 2. Write a word equation for the reaction. carbon dioxide + water glucose + oxygen 3. Write the equation using formulas for the reactants and products. Some gaseous elements are molecules, not atoms. Oxygen in air is O 2, not O. CO 2 +H 2 O C 6 + O 2 4. Balance the equation one element at a time. The same number of each type of atom must appear on both sides. So far, there are six carbon atoms on the right and only one on the left. To balance the number of carbon atoms, multiply the amount of carbon dioxide by 6. 6CO 2 + H 2 O C 6 + O 2 C 6 6 H 2 12 O of 6

4 This equation gives you twelve hydrogen atoms on the right and only two on the left. So you need to multiply the amount of water by 6. 6CO 2 + 6H 2 O C 6 + O 2 C O 18 8 To balance the equation, multiply the amount of oxygen produced by 6. 6CO 2 + 6H 2 O C 6 + 6O 2 Your Turn to Think C O Uranium reacts with fluorine gas, F 2, to form uranium(vi) fluoride, UF 6. Write the balanced equation for this synthesis reaction. 11. Iron reacts with chlorine gas, Cl 2, to form iron(iii) chloride, FeCl 3. Write the balanced equation for this synthesis reaction. 12. Aluminum sulfate, Al 2 (SO 4 ) 3, decomposes to form aluminum oxide, Al 2, and sulfur trioxide, S 13. Water is decomposed by electrolysis to form the gaseous products hydrogen, H 2, and oxygen, O Potassium chlorate, KCl, decomposes to form potassium chloride, KCl, and oxygen gas. Write the balanced equation for this decomposition reaction. 15. Chlorine gas, Cl 2, reacts with potassium bromide, KBr, to form potassium chloride and bromine, Br 2. Write the balanced equation for this single-displacement reaction. 16. Aluminum reacts with lead nitrate, Pb(N ) 2, to form lead and aluminum nitrate, Al(N ) 3. Write the balanced equation for this single-displacement reaction. 4 of 6

5 17. Ammonium chloride, NH 4 Cl, reacts with calcium hydroxide, Ca(OH) 2, to form calcium chloride (CaCl 2 ), ammonia (NH 3 ), and water. Write the balanced equation for this reaction. 18. Zinc reacts with hydrochloric acid, HCl, to form zinc chloride, ZnCl 2, and hydrogen gas 19. Fluorine reacts with sodium chloride, NaCl, to form sodium fluoride, NaF, and chlorine. Write the balanced equation for this single-displacement reaction. (Hint: Remember that both fluorine and chlorine have two atoms per molecule when they are in elemental form.) 20. Calcium oxide, CaO, reacts with sulfur dioxide to form calcium sulfite, CaS. Write the balanced equation for this synthesis reaction. 21. In air, calcium sulfite, CaS, reacts slowly with oxygen to form calcium sulfate, CaSO When heated, mercury(ii) oxide, HgO, decomposes to form mercury and oxygen. Through this reaction, Joseph Priestley demonstrated the existence of oxygen in Write the balanced equation for the decomposition of mercury(ii) oxide. 23. Methanol, CH 3 OH, decomposes to form carbon monoxide, CO, and hydrogen gas, H 2. Write the balanced equation for this decomposition reaction. Mixed Review 24. Potassium nitrate, KN, decomposes to form potassium nitrite, KNO 2, and oxygen gas, O 2. Write the balanced equation for this decomposition reaction. 25. Antimony(V) chloride, SbCl 5, reacts with potassium iodide, KI, to form the products potassium chloride, KCl, iodine, I 2, and antimony(iii) chloride, SbCl 3. Write the balanced equation for this reaction. 26. Nitric acid, HN, reacts with hydrogen sulfide, H 2 S, to form nitrogen dioxide (NO 2 ), water, and sulfur (S) 27. Chromium(III) oxide, Cr 2, reacts with silicon to form chromium metal and silicon dioxide, SiO Ammonium dichromate, (NH 4 ) 2 Cr 2 O 7, decomposes to form chromium(iii) oxide, Cr 2, nitrogen gas, N 2, and water. Write the balanced equation for this decomposition reaction. 29. Iron(II) chloride, FeCl 2, reacts with water at high temperatures to form triiron tetraoxide (Fe 3 O 4 ), hydrochloric acid, and hydrogen gas. Write the balanced equation for this reaction. 5 of 6

6 30. Aluminum sulfate, Al 2 (SO 4 ) 3, reacts with calcium hydroxide, Ca(OH) 2, to form aluminum hydroxide, Al(OH) 3, and calcium sulfate, CaSO 4. Write the balanced equation for this double-displacement reaction. 31. Lead chloride, PbCl 2, reacts with sodium chromate, Na 2 CrO 4, to form lead chromate, PbCrO 4, and sodium chloride, NaCl. Write the balanced equation for this doubledisplacement reaction. 32. Vanadium pentoxide, V 2 O 5, reacts with calcium to form vanadium metal and calcium oxide, CaO 33. When heated, tantalum metal reacts with chlorine gas to form tantalum pentachloride, TaCl Potassium manganate(vi), K 2 MnO 4, can be made to react with water, forming potassium permanganate, KMnO 4, potassium hydroxide, KOH, and hydrogen gas. This reaction is used in industry to produce potassium permanganate, which is widely used in analytical chemistry 35. Phosphorus pentoxide, P 4 O 10, can be made to react with water (as steam) to form phosphoric acid, H 3 PO 4. This reaction is an important industrial source of phosphoric acid 36. Iron sulfide, FeS, reacts with hydrochloric acid, HCl, to form hydrogen sulfide, H 2 S, and iron(ii) chloride, FeCl 2 6 of 6

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