Redox Reactions and Electrochemistry: Chemistry | JEE Main
The standard electrode potential of M+/M in aqueous solution does not depend on
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Hint 1 of 2
Which thermodynamic cycle relates the electrode process M+(aq)+e−→M(s) to fundamental enthalpy terms?
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Correct answer
Standard reduction potential depends on enthalpy of sublimation, ionisation enthalpy of gaseous atoms, and hydration enthalpy of gaseous ions, not direct ionisation of a solid metal atom.
Option analysis
Why each option works or fails
A · Ionisation of a solid metal atom
None. This is the correct choice because ionisation is defined only for isolated gaseous atoms, not solid metal atoms. Recognise that in the Born-Haber thermochemical cycle for electrode potentials, the metal must first sublime into gaseous atoms before ionisation occurs.
B · Sublimation of a solid metal
Believing that phase change from solid to gas is not part of the standard electrode potential thermodynamic cycle. Include the enthalpy of sublimation (M(s)→M(g)) as the necessary first step in the cycle.
C · Ionisation of a gaseous metal atom
Confusing the question's 'does not depend on' negative constraint and selecting a factor that genuinely determines the potential. Carefully read negative stems; ionisation of gaseous metal atoms (M(g)→M+(g)+e−) is an essential component of the cycle.
D · Hydration of a gaseous metal ion
Assuming that solvent interactions do not contribute to standard reduction potential in aqueous solution. Remember that standard electrode potentials are measured in aqueous solution, where hydration enthalpy (M+(g)+aq→M+(aq)) plays a major role.
Reviewed route
Solution
StepWorking
01concept
The overall standard electrode potential of M+(aq)/M(s) corresponds to the process M(s)→M+(aq)+e−. According to the thermodynamic cycle (Born-Haber type), this total enthalpy change is the sum of three terms: (1) Enthalpy of sublimation: M(s)→M(g), (2) Ionisation enthalpy: M(g)→M+(g)+e−, and (3) Enthalpy of hydration: M+(g)+aq→M+(aq). Direct ionisation of a solid metal atom (M(s)→M+(s)+e−) is not part of this cycle.
02option_verdict
Ionisation enthalpy is defined strictly for isolated gaseous atoms (M(g)→M+(g)+e−), not solid metal atoms directly. Therefore, the standard electrode potential does not depend on 'Ionisation of a solid metal atom'.
03option_verdict
Sublimation of solid metal (M(s)→M(g)) is the first mandatory step in the thermodynamic cycle, so standard potential does depend on it.
04option_verdict
Ionisation of a gaseous metal atom (M(g)→M+(g)+e−) is the standard ionisation enthalpy step involved in the cycle.
05option_verdict
Hydration of the gaseous metal ion (M+(g)+aq→M+(aq)) releases energy and directly determines the standard potential.
✓discriminator
Ionisation enthalpy is fundamentally defined only for isolated gaseous species; M(s) must sublimate to M(g) before it can be ionised.
Hints that build this answer step by step
Which thermodynamic cycle relates the electrode process M+(aq)+e−→M(s) to fundamental enthalpy terms?
Born-Haber cycle involving sublimation, ionisation of gaseous atoms, and hydration of gaseous ions
Based on standard definitions in thermochemistry, which process is non-physical or not a distinct step in the cycle?
Ionisation of a solid metal atom directly into ions
Why can't we ionise a solid metal directly in the thermodynamic cycle?
Ionisation enthalpy by definition requires overcoming interatomic metallic bonding first (sublimation to isolated gas atoms) before stripping an electron from an isolated atom.