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The electrochemical cell shown below is a concentration cell. M | M2+ (saturated solution of a sparingly soluble salt, MX2) | | M2+ (0.001 mol dm-3) |M The emf of the cell depends on the difference in concentration of M2+ ions at the two electrodes. The emf of the cell at 298K is 0.059 V.
Q.
The value of ΔG (kJ mol-1) for the given cell is (take 1 F= 96500 C mol-1)
  • a)
    -5.7
  • b)
    5.7
  • c)
    11.4
  • d)
    -11.4
Correct answer is option 'D'. Can you explain this answer?
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The electrochemical cell shown below is a concentration cell. M |M2+ (...



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The electrochemical cell shown below is a concentration cell. M |M2+ (...
Given Information:
- The electrochemical cell is a concentration cell.
- The cell consists of two electrodes: M and M2.
- The M electrode is in contact with a saturated solution of a sparingly soluble salt, MX2.
- The M2 electrode is in contact with a 0.001 mol dm-3 solution of M2 ions.
- The emf of the cell at 298K is 0.059 V.

Explanation:
To determine the value of G (kJ mol-1) for the given cell, we can use the equation:

ΔG = -nFE

where ΔG is the change in Gibbs free energy, n is the number of moles of electrons transferred, F is the Faraday constant (1 F = 96500 C mol-1), and E is the emf of the cell.

Step 1: Finding the number of moles of electrons transferred (n):
In a concentration cell, no redox reaction takes place. Therefore, the number of moles of electrons transferred (n) is zero.

Step 2: Calculating the value of ΔG:
Since n is zero, the equation simplifies to:

ΔG = 0

Therefore, the value of ΔG for the given cell is zero.

Step 3: Converting ΔG to kJ mol-1:
Since ΔG is zero, the value of ΔG in kJ mol-1 is also zero.

Conclusion:
The value of G (kJ mol-1) for the given cell is 0 kJ mol-1. Therefore, the correct answer is option 'D' (-11.4 kJ mol-1).
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The electrochemical cell shown below is a concentration cell. M |M2+ (saturated solution of a sparingly soluble salt, MX2) ||M2+(0.001 mol dm-3) |M The emf of the cell depends on the difference in concentration of M2+ ions at the two electrodes. The emf of the cell at 298K is 0.059 V.Q.The value of G (kJ mol-1) for the given cell is (take 1 F= 96500 C mol-1)a)-5.7b)5.7c)11.4d)-11.4Correct answer is option 'D'. Can you explain this answer?
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