For a closed circuit Daniell cell, which of the following plots is the accurate one at a given temperature ?
- A

- B

- C

- D

For a closed circuit Daniell cell, which of the following plots is the accurate one at a given temperature ?




Correct answer:B
Standard Method
Given: A closed circuit Daniell cell at a fixed temperature, and plots of versus time.
Find: Which plot correctly represents the behaviour of with time.
The standard cell potential is a thermodynamic quantity defined under standard conditions. At a fixed temperature, it depends only on the standard electrode potentials of the two half-cells.
The instantaneous cell potential changes during cell operation according to the Nernst equation:
Here, changes as concentrations change with time, but does not change with time for a given reaction at a given temperature.
Therefore, the graph of versus time is a horizontal line.
The correct option is B.
Conceptual Distinction
Given: The cell is a Daniell cell operating in a closed circuit.
Find: The correct time plot of the standard cell potential.
A common confusion is between and .
At constant temperature, the standard reduction potentials of the electrodes remain constant. Hence their difference also remains constant:
Although the reaction proceeds with time in a closed circuit and the concentrations of ions change, that affects only through the reaction quotient .
So, with time:
Hence the correct graph is the horizontal line, which corresponds to option B.
Confusing with . This is incorrect because depends on concentration through the Nernst equation, while is constant at fixed temperature. Always check whether the question asks for actual cell potential or standard cell potential.
Assuming that every electrochemical quantity changes with time in a closed circuit. This is wrong because standard electrode potentials are reference values under standard conditions. Use time dependence only for quantities involving changing concentrations, such as , not .
Choosing the decreasing graph because the cell 'runs down' with time. This reasoning applies to the actual emf of the cell, not the standard cell potential. Distinguish between operational behaviour of the cell and the fixed thermodynamic reference value.
Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.