MHT CET202526 Apr 2025Morning ShiftChemistryElectrochemistryActual
For the cell reaction, A _ ( s ) + B ⁺² _ ( aq ) A ⁺² _ ( aq ) + B _ ( s ) if equilibrium constant of reaction is 10^4 at 298 K . What is standard emf of cell?
Options
- A0.0592 V
- B0.1184 V
- C0.1776 V
- D0.2368 V
Correct answer
B. 0.1184 V
Step-by-step solution
The standard cell potential E^ o _ cell and the equilibrium constant K are linked by E^ o _ cell = 0.0592 n K at 298 K. The cell reaction A _ ( s ) + B ⁺²_ ( aq ) A ⁺²_ ( aq ) + B _ ( s ) involves a two-electron transfer, so n = 2 . Given K = 10^4 , and (10^4) = 4 , substitute into the equation: E^ o _ cell = 0.0592 2 4 = 0.0592 2 = 0.1184 V . Final answer: 0.1184 V