Calculate the standard electrode potential for the electrode MnO−4MnO2 in an acid solution? E∘MnO−4,Mn2+=1.51VE∘MnO−2,Mn2+=1.23V
A
1.51 V
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B
1.70 V
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C
-1.51 V
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D
2.74 V
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Solution
The correct option is B 1.70 V MnO−4+8H+5e−→Mn2++4H2OE∘=1.5V∴ΔG∘=−5(1.51)F=−7.55FMn−2+4H+2e−→mn2++2H2OE∘=1.23V∴ΔG∘=−2(1.23)F=−2.46FMnO−4−MnO2+4Hf+3e→2H2OΔG∘=−7.55F−(−2.46F) On subtracting =−5.09F∴E∘MnO−4,MnO2=ΔG∘−nF=−5.09F−3F=1.70Volt