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Standard Electrode Potential and Cell EMF

Standard electrode potential is the potential of an electrode measured under standard conditions relative to the standard hydrogen electrode, whose potential is assigned zero volts.

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Student-friendly explanation

Electrode potential values in the CBSE table are usually standard reduction potentials. A more positive reduction potential means the species has a greater tendency to get reduced. For a galvanic cell, the cathode has the higher reduction potential and the anode has the lower reduction potential. The standard EMF of the cell is calculated as the standard reduction potential of cathode minus that of anode. The sign of EMF indicates whether the cell reaction is spontaneous as written.

How to write this in exams

  1. 1

    Start with the exact idea

    Standard electrode potential is the potential of an electrode measured under standard conditions relative to the standard hydrogen electrode, whose potential is assigned zero volts.

  2. 2

    Then show how to use it

    List the given reduction potentials. Choose the larger value as cathode. Choose the smaller value as anode. Substitute directly into E degree cell = E degree cathode - E degree anode. Interpret a positive value as feasible for a galvanic cell.

  3. 3

    Add one concrete example

    If E degree of Cu2+/Cu = +0.34 V and E degree of Zn2+/Zn = -0.76 V, then E degree cell = 0.34 - (-0.76) = 1.10 V for the Daniell cell.

  4. 4

    Avoid this incomplete answer

    A realistic error is calculating -2.37 - 0.80 = -3.17 V for Mg-Ag cell by subtracting in the wrong order.

Definition

Standard electrode potential is the potential of an electrode measured under standard conditions relative to the standard hydrogen electrode, whose potential is assigned zero volts.

Example

If E degree of Cu2+/Cu = +0.34 V and E degree of Zn2+/Zn = -0.76 V, then E degree cell = 0.34 - (-0.76) = 1.10 V for the Daniell cell.

Rule to remember

Key formula: E degree cell = E degree cathode - E degree anode. Under standard conditions, solute concentration is 1 mol L-1, gas pressure is 1 bar, and temperature is usually taken as 298 K in numerical questions unless stated otherwise.

Memory hook

Cell EMF is right only when the reduction winner is placed at the cathode side of the formula.

Examples and method

Worked example

Given Mg2+/Mg = -2.37 V and Ag+/Ag = +0.80 V, silver ion has the higher reduction potential, so Ag electrode is cathode and Mg is anode. E degree cell = 0.80 - (-2.37) = 3.17 V. The positive value shows that the reaction is spontaneous in this direction.

Method to apply

List the given reduction potentials. Choose the larger value as cathode. Choose the smaller value as anode. Substitute directly into E degree cell = E degree cathode - E degree anode. Interpret a positive value as feasible for a galvanic cell.

Diagram support

A separate diagram is not essential here because the concept is mainly sign and formula based. A small comparison table of anode, cathode, oxidation, reduction, and potential sign is useful for revision.

How CBSE asks it

CBSE questions may ask for EMF calculation, feasibility of a redox reaction, strongest oxidising agent, strongest reducing agent, or correct cell representation using electrode potential data.

Avoid common mistakes

Common confusion

Students often reverse the formula or change the sign of the anode value twice. Use reduction potentials directly in E degree cell = E degree cathode - E degree anode.

Common wrong answer

A realistic error is calculating -2.37 - 0.80 = -3.17 V for Mg-Ag cell by subtracting in the wrong order.

Exam tip

Before substitution, identify cathode as the half-cell with higher reduction potential. Do not mechanically take left minus right unless the cell notation has already been confirmed.

Quick check

For a cell with E degree cathode = +0.80 V and E degree anode = -0.44 V, what is E degree cell?

E degree cell = +0.80 - (-0.44) = +1.24 V.

Answer writing and exam use

1-mark answer

Standard electrode potential is the potential of an electrode measured under standard conditions relative to the standard hydrogen electrode, whose potential is assigned zero volts.

2-mark answer

Standard electrode potential is the potential of an electrode measured under standard conditions relative to the standard hydrogen electrode, whose potential is assigned zero volts. Key formula: E degree cell = E degree cathode - E degree anode. Under standard conditions, solute concentration is 1 mol L-1, gas pressure is 1 bar, and temperature is usually taken as 298 K in numerical questions unless stated otherwise. If E degree of Cu2+/Cu = +0.34 V and E degree of Zn2+/Zn = -0.76 V, then E degree cell = 0.34 - (-0.76) = 1.10 V for the Daniell cell.

3-mark answer

Electrode potential values in the CBSE table are usually standard reduction potentials. A more positive reduction potential means the species has a greater tendency to get reduced. For a galvanic cell, the cathode has the higher reduction potential and the anode has the lower reduction potential. The standard EMF of the cell is calculated as the standard reduction potential of cathode minus that of anode. The sign of EMF indicates whether the cell reaction is spontaneous as written. Key formula: E degree cell = E degree cathode - E degree anode. Under standard conditions, solute concentration is 1 mol L-1, gas pressure is 1 bar, and temperature is usually taken as 298 K in numerical questions unless stated otherwise. Given Mg2+/Mg = -2.37 V and Ag+/Ag = +0.80 V, silver ion has the higher reduction potential, so Ag electrode is cathode and Mg is anode. E degree cell = 0.80 - (-2.37) = 3.17 V. The positive value shows that the reaction is spontaneous in this direction. CBSE questions may ask for EMF calculation, feasibility of a redox reaction, strongest oxidising agent, strongest reducing agent, or correct cell representation using electrode potential data. A realistic error is calculating -2.37 - 0.80 = -3.17 V for Mg-Ag cell by subtracting in the wrong order.
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