Balancing Chemical Reaction Equations

Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__COCl2 + __H2O --> __CO2 + __HCl

1 COCl2 + __H2O --> 1 CO2 + __HCl Balance the carbons first.
1 COCl2 + __H2O --> 1 CO2 + 2 HCl Next, balance the chlorines. (I am leaving the 1 coefficients in for emphasis.)
1 COCl2 + 1 H2O --> 1 CO2 + 2 HCl Now Balance the hydrogens. Notice how the oxygens take care of themselves!
1 + 1 + 1 + 2 = 5 Finally, add up the coefficients!
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Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__Al4C3 + __HCl --> __AlCl3 + __CH4

1 Al4C3 + __HCl --> 4 AlCl3 + __CH4 Balance the aluminum first.
Al4C3 + 12 HCl --> 4 AlCl3 + __CH4 Next, balance the chlorine.
Al4C3 + 12 HCl --> 4 AlCl3 + 3 CH4 Now balance the carbon. Once again, one element (hyrdogen) took care of itself!
1 + 12 + 4 + 3 = 20 Finally, add the coefficients.
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Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__Fe2O3 + __CO --> __CO2 + __Fe

__Fe2O3 + 3 CO --> 3 CO2 + __Fe Balance the carbons first such that we get an even number of oxygens. The number of oxygens must be even since the only place oxygen appears as a product is in CO2!
1 Fe2O3 + 3 CO --> 3 CO2 + __Fe Next, let's balance the oxygens. Normally it is nice to save oxygen for the end. But in this reaction, w have a pure element. Always save those for last - even after oxygen and hydrogen!
Fe2O3 + 3 CO --> 3 CO2 + 2 Fe Lastly, balance the iron.
1 + 3 + 3 + 2 = 9 Finally, add the coefficients.
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Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__C4H10O + __O2 --> __CO2 + __H2O

1 C4H10O + __O2 --> 4 CO2 + __H2O First, balance the carbons using carbon dioxide.
C4H10O + __O2 --> 4 CO2 + 5 H2O Next, balance the hydrogens with water.
C4H10O + 6 O2 --> 4 CO2 + 5 H2O Lastly, balance the oxygens.
1 + 6 + 4 + 5 = 16 Now add the coefficients.
Note: make sure that when you are done that the coefficients are the smallest integers which actually do the job of properly balancing the reaction!
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Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__Mg + __FeCl3 --> __MgCl2 + __FeCl2

__Mg + 2 FeCl3 --> __MgCl2 + 2 FeCl2 First, balance the iron. But keep in mind that we need an even number of chlorines because of the formulae on the product side!
__Mg + 2 FeCl3 --> 1 MgCl2 + 2 FeCl2 Next, finish balancing the chlorines.
1 Mg + 2 FeCl3 --> MgCl2 + 2 FeCl2 Now balance the magnesium.
1 + 2 + 1 + 2 = 6 And the sum of the coefficients is . . .
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Balance the following reaction equation. What is the sum of the coefficients of the reactants and products?

__CuCl2 + __KI --> __CuI + __KCl + __I2

2 CuCl2 + __KI --> __CuI + __KCl + __I2 Iodine showing up in multiple places on teh product side is what makes this problem a challange. Let's try picking coefficents that give us four iodine atoms on the product side. Keeping that in mind, let's try a two in front of the CuCl2.
2 CuCl2 + __KI --> __CuI + 4 KCl + __I2 Now let's balance the chlorine . . .
2 CuCl2 + 4 KI --> __CuI + 4 KCl + __I2 and then the potasium.
2 CuCl2 + 4 KI --> 2 CuI + 4 KCl + __I2 There are the four iodines I wanted. Now let's balance copper.
2 CuCl2 + 4 KI --> 2 CuI + 4 KCl + 1 I2 The reaction equation will now be balanced with the proper ceofficient on the I2.
2 + 4 + 2 + 4 + 1 = 13 And here is the sum.
Note: This is an example of aa redox reaction because we see that copper is reducing and iodine is oxidizing. These reactions are easier to balance systematically by breaking up the reaction into half reactions. We will learn more about this process later on.
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Patrick E. Fleming
Department of Chemistry and Biochemistry
California State University, East Bay
patrick.fleming@csueastbay.edu