MHT CET202523 Apr 2025Evening ShiftChemistryElectrochemistryActual
Which from following statements is true regarding the cell emf at 298 K for Ni _ ( s ) | +2 Ni (0 01 M )| | Ag ⁺(0 01 M ) | Ag _ ( s ) ^
Options
- Aless than E^ _ cell by 0.0592 V
- Bgreater than E ^ _ cell by 0.0592 V
- Cless than E^ _ cell by 0.0296 V
- Dgreater than E ^ _ cell by 0.0296 V
Correct answer
A. less than E^ _ cell by 0.0592 V
Step-by-step solution
Cell emf calculation using Nernst equation The cell reaction is: Ni _ (s) + 2 Ag ⁺_ (aq) Ni ⁺²_ (aq) + 2 Ag _ (s) with n = 2 electrons transferred. The reaction quotient is Q = [ Ni ⁺²] [ Ag ⁺]^2 = 0.01 (0.01)^2 = 100 . Applying the Nernst equation at 298 K: E_ cell = E^ _ cell - 0.0592 n Q = E^ _ cell - 0.0592 2 100 = E^ _ cell - 0.0592 V The cell emf is therefore less than the standard cell potential by 0.0592 V , matching option A .