MHT CET202520 Apr 2025Evening ShiftChemistryElectrochemistryActual
Assume the cell reaction, A _ ( s ) + B _ ( aq ) ⁺² ~A _ ( aq ) ⁺²+ B _ ( s ) if G ^ =-386 ~kJ at 298 K . What is E _ cell ^ ?
Options
- A1 V
- B1.5 V
- C2 V
- D2 5 ~V
Correct answer
C. 2 V
Step-by-step solution
The standard Gibbs free energy change and standard cell potential are related by G^ = -nFE_ cell ^ . For the reaction A _ ( s ) + B _ ( aq ) ⁺² A _ ( aq ) ⁺²+ B _ ( s ) , two electrons are transferred, so n = 2 . Substituting the given G^ = -386 10^3 J and F = 96485 C/mol yields: E_ cell ^ = - -386 10^3 2 96485 = 386000 192970 2.0003 V . This value rounds to 2 V, which corresponds to option C .