In this problem, we describe an alternative method for

Chapter 5, Problem 98

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In this problem, we describe an alternative method for balancing equations for oxidation-reduction reactions. The method is similar to the method given previously in Tables 5.5 and 5.6, but it places more emphasis on the assignment of oxidation states. (The method summarized in Tables 5.5 and 5.6 does not require you to assign oxidation states.) An emphasis on oxidation states is warranted because oxidation states are useful not only for keeping track of electrons but also for predicting chemical properties. The method is summarized in the table below. K2Cr2O7 Cr2O7 Cr3+. 2- 9 mol>L H2SO41aq2. 0.75 mg K2Cr2O7 1green2 + Cr3+CH3COOH1aq2 1aq2 The method offers a couple of advantages. First, the method applies to both acidic and basic environments because we balance charges by using either (for acidic environments) or (for basic environments). Second, the method is somewhat more efficient than the method we described previously because, in the method described here, we balance only once for charge and only once for hydrogen and oxygen. In the other method, we focus on the half-equations sepa- OH- H+ rately and must balance twice for charge and twice for hydrogen and oxygen. Use the alternative method described above to balance the following oxidation-reduction equations. (a) (b) CO3 2-1aq2 + MnO21s2 1basic solution2 C2O4 2-1aq2 + MnO4 -1aq2 Cr3+1aq2 + Cl21g2 1acidic solution2

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