Question

The standard emf of Daniell cell is 1.10 volt. What is the maximum electrical work obtained from Daniell cell?

• A. 212.3 kJ
• B. 175.4 kJ
• C. 106.15 kJ
• D. 57.07 kJ

Hint:

The maximum electrical work is related to the emf of the cell and the number of moles of electrons transferred.

Answer 1

The Correct Option is A

Step 1: Understanding the relationship.
The maximum electrical work (\( W_{\text{max}} \)) that can be obtained from a cell is given by the formula: \[ W_{\text{max}} = -nFE \] where \( n \) is the number of moles of electrons transferred, \( F \) is the Faraday constant (\( 96500 \, \text{C/mol} \)), and \( E \) is the standard emf of the cell. Using the values for the Daniell cell, the maximum electrical work is calculated as: \[ W_{\text{max}} = -1 \times 96500 \times 1.10 = 212.3 \, \text{kJ} \] Step 2: Analyzing the options.
(A) 212.3 kJ: Correct — This is the correct maximum electrical work obtained from the Daniell cell.
(B) 175.4 kJ: Incorrect. This value does not correspond to the correct calculation.
(C) 106.15 kJ: Incorrect. This is not the correct electrical work.
(D) 57.07 kJ: Incorrect. This value does not match the calculation.
Step 3: Conclusion.
The correct answer is (A) 212.3 kJ, which is the maximum electrical work from the Daniell cell.