Join WhatsApp Icon JEE WhatsApp Group
Question 67

For the given cell $$Fe^{2+}_{(aq)} + Ag^+_{(aq)} \rightarrow Fe^{3+}_{(aq)} + Ag_{(s)},$$ the standard cell potential of the above reaction is Given: $$\begin{aligned}Ag^+ + e^- &\rightarrow Ag \qquad E^\circ = x\,V \\Fe^{2+} + 2e^- &\rightarrow Fe \qquad E^\circ = y\,V \\Fe^{3+} + 3e^- &\rightarrow Fe \qquad E^\circ = z\,V \end{aligned}$$

For the cell reaction: $$Fe^{2+}(aq) + Ag^+(aq) \to Fe^{3+}(aq) + Ag(s)$$

Given half-cell potentials:
$$Ag^+ + e^- \to Ag, \quad E° = x$$ V
$$Fe^{2+} + 2e^- \to Fe, \quad E° = y$$ V
$$Fe^{3+} + 3e^- \to Fe, \quad E° = z$$ V

We need the standard potential for $$Fe^{3+} + e^- \to Fe^{2+}$$.

Using the relation between Gibbs energies: $$\Delta G° = -nFE°$$.

For $$Fe^{3+} + 3e^- \to Fe$$: $$\Delta G°_1 = -3Fz$$

For $$Fe^{2+} + 2e^- \to Fe$$: $$\Delta G°_2 = -2Fy$$

The half-cell $$Fe^{3+} + e^- \to Fe^{2+}$$ can be obtained by subtracting:
$$\Delta G°_3 = \Delta G°_1 - \Delta G°_2 = -3Fz - (-2Fy) = -3Fz + 2Fy$$

Since $$\Delta G°_3 = -1 \cdot F \cdot E°(Fe^{3+}/Fe^{2+})$$:

$$E°(Fe^{3+}/Fe^{2+}) = 3z - 2y$$

For the given cell reaction, the cathode is $$Ag^+/Ag$$ and the anode is $$Fe^{2+}/Fe^{3+}$$:

$$E°_{cell} = E°_{cathode} - E°_{anode} = x - (3z - 2y) = x + 2y - 3z$$

The correct answer is Option C: $$x + 2y - 3z$$.

Get AI Help

Create a FREE account and get:

  • Free JEE Mains Previous Papers PDF
  • Take JEE Mains paper tests

JEE Quant Questions | JEE Quantitative Ability

JEE DILR Questions | LRDI Questions For JEE

JEE Verbal Ability Questions | VARC Questions For JEE

Free JEE Topicwise Questions

JEE Rotational MotionJEE Units & MeasurementsJEE Atomic StructureJEE GravitationJEE Periodic Table & PeriodicityJEE StatisticsJEE Inverse Trigonometric FunctionsJEE Magnetism & Magnetic MaterialsJEE Sequences & SeriesJEE MatricesJEE Alternating CurrentsJEE Carboxylic AcidsJEE Permutations & CombinationsJEE Work, Energy & PowerJEE Electromagnetic InductionJEE Electronic DevicesJEE d and f-Block ElementsJEE Chemical KineticsJEE Heat TransferJEE Three Dimensional GeometryJEE Magnetic Effects of CurrentJEE Hydrocarbons - AromaticJEE Electromagnetic WavesJEE Aldehydes & KetonesJEE Hydrocarbons - AlkanesJEE Applications of DerivativesJEE EquilibriumJEE Indefinite IntegrationJEE Chemical ThermodynamicsJEE ElectrochemistryJEE ProbabilityJEE BiomoleculesJEE Continuity & DifferentiabilityJEE Kinetic Theory of GasesJEE Vector AlgebraJEE Hydrocarbons - AlkynesJEE Differential EquationsJEE Current & ResistanceJEE Straight LinesJEE WavesJEE Redox ReactionsJEE Hydrocarbons - AlkenesJEE DeterminantsJEE SolutionsJEE Ray OpticsJEE Dual Nature of Matter & RadiationJEE Chemical Bonding & Molecular StructureJEE Complex NumbersJEE Sets, Relations & FunctionsJEE Electric Charges & FieldsJEE Laws of MotionJEE Fluid MechanicsJEE Basic Concepts in ChemistryJEE Trigonometric FunctionsJEE LimitsJEE Laws of ThermodynamicsJEE Kinematics - 2D MotionJEE p-Block Elements (Groups 13-18)JEE Simple Harmonic MotionJEE Electric Potential & CapacitanceJEE Coordination CompoundsJEE JEE 2D GeometryJEE CirclesJEE Definite IntegrationJEE EMF & Circuit AnalysisJEE Surface TensionJEE Atoms & NucleiJEE Laboratory Experiments - XIJEE Number SystemJEE Basic Principles of Organic ChemistryJEE Wave OpticsJEE Quadratic EquationsJEE Alcohols, Phenols & EthersJEE Organic Compounds with HalogensJEE DifferentiationJEE Conic SectionsJEE Nitrogen-Containing CompoundsJEE ElasticityJEE Practical Organic ChemistryJEE Kinematics - 1D MotionJEE Purification & CharacterisationJEE Binomial Theorem
Ask AI