The equilibrium constant for the following reaction is 1030. Calculate E∘ (in volts) for the cell at 298 K. 2X2(s)+3Y2+(aq)→2X3+2(aq)+3Y(s)
A
+0.105 V
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B
+0.295 V
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C
+0.0985 V
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D
-0.295 V
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Solution
The correct option is B +0.295 V We know that: ΔG=−RTlnKeq ΔG=−nFEcell At cathode 3Y2++6e−→3Y At anode: 2X2→2X3+2+6e− So n=6 for reaction −RTlnKeq=−nFEcell −RTln1030=−nFEcell Ecell=0.295V