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Given below are half cell reactions: MnO4+8H++5eMn2++4H2OMnO_4^- + 8H^+ + 5e^- \rightarrow Mn^{2+} + 4H_2O (Eo=1.51VE^o = 1.51 V); 2H2OO2+4H++4e2H_2O \rightarrow O_2 + 4H^+ + 4e^- (Eo=1.23VE^o = -1.23 V). Will the permanganate ion, MnO4MnO_4^-, liberate O2O_2 from water in the presence of an acid?

1

Yes, because Ecello>0E^o_{cell} > 0

2

No, because Ecello<0E^o_{cell} < 0

3

Yes, because Ecello<0E^o_{cell} < 0

4

No, because Ecello>0E^o_{cell} > 0

Step-by-Step Solution

The net cell reaction is obtained by adding the two half-reactions. The total standard cell potential Ecello=Ecathodeo+Eanodeo=1.51V+(1.23V)=0.28VE^o_{cell} = E^o_{cathode} + E^o_{anode} = 1.51 V + (-1.23 V) = 0.28 V. Since Ecello>0E^o_{cell} > 0, the reaction is spontaneous, meaning MnO4MnO_4^- will liberate O2O_2 from water in the presence of an acid.

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