Balance the following equations. (Use the lowest possible whole-number coefficients. These may be zero.) (a) MnO4-(aq) + Cl-(aq) (equilibrium arrows) Mn2+(aq) + Cl2(aq) MnO4- + Cl- + H+ + H2O (equilibrium arrows) Mn2+ + Cl2 + H+ + H2O (b) Cr2O72-(aq) + CH3OH(aq)(equilibrium arrows) HCO2H(aq) + Cr3+(aq) Cr2O72- + CH3OH + H+ + H2O(equilibrium arrows) Cr3+ + HCO2H + H+ + H2O (c) ClO-(aq) + Pb(OH)42-(aq) (equilibrium arrows) Cl-(aq) + PbO2(s) ClO- + Pb(OH)42- + OH- + H2O(equilibrium arrows) Cl- + PbO2 + OH- + H2O (d) Cl2O7(aq) + C2O42-(aq)(equilibrium arrows) Cl-(aq) + CO2(g) Cl2O7 + C2O42- + OH- + H2O(equilibrium arrows) Cl- + CO2 + OH- + H2O

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Balance the following equations. (Use the lowest possible whole-number coefficients. These may be zero.)




(a) MnO4-(aq) + Cl-(aq) (equilibrium arrows) Mn2+(aq) + Cl2(aq)

 MnO4- +  Cl- +  H+ +  H2O (equilibrium arrows)  Mn2+ +  Cl2 +  H+ +  H2O



(b) Cr2O72-(aq) + CH3OH(aq)(equilibrium arrows)  HCO2H(aq) + Cr3+(aq)

 Cr2O72- +  CH3OH +  H+ +  H2O(equilibrium arrows)   Cr3+ +  HCO2H +  H+ +  H2O



(c) ClO-(aq) + Pb(OH)42-(aq) (equilibrium arrows) Cl-(aq) + PbO2(s)

 ClO- +  Pb(OH)42- +  OH- +  H2O(equilibrium arrows)   Cl- +  PbO2 +  OH- +  H2O



(d) Cl2O7(aq) + C2O42-(aq)(equilibrium arrows)  Cl-(aq) + CO2(g)

 Cl2O7 +  C2O42- +  OH- +  H2O(equilibrium arrows)  Cl- +  CO2 +  OH- +  H2O

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