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STATEMENT -1: E(cell)^(@) is negative fo...

STATEMENT -1: `E_(cell)^(@)` is negative for electrolytic cell.
STATEMENT-2: `/_\G^(@)` is +ve for electrolyte cell
(a) If both the statements are TRUE and STATEMENTS-2 is the correct explantion of STATEMENTS-1
(b)If both the statements are TRUE but STATEMENTS-2 is NOT the correct explanation of STATEMENTS-1
(c)If STATEMENTS-1 is TRUE and STATEMENTS-2 is FALSE
(d)If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

A

If both the statements are TRUE and STATEMENTS-2 is the correct explantion of STATEMENTS-1

B

If both the statements are TRUE but STATEMENTS-2 is NOT the correct explanation of STATEMENTS-1

C

If STATEMENTS-1 is TRUE and STATEMENTS-2 is FALSE

D

If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the two statements given and determine their validity and relationship. ### Step-by-Step Solution: 1. **Understanding Statement 1**: - Statement 1 claims that `E_(cell)^(@)` is negative for an electrolytic cell. - In an electrolytic cell, the cell operates non-spontaneously, meaning it requires an external power source to drive the reaction. Therefore, the standard cell potential (`E_(cell)^(@)`) is indeed negative. - **Conclusion**: Statement 1 is TRUE. 2. **Understanding Statement 2**: - Statement 2 states that `/_\G^(@)` (Gibbs free energy change) is positive for an electrolytic cell. - The relationship between Gibbs free energy and cell potential is given by the equation: \[ \Delta G^(@) = -nFE^(@)_{cell} \] - Since `E^(@)_{cell}` is negative for an electrolytic cell (as established in Statement 1), substituting this into the equation results in: \[ \Delta G^(@) = -nF(-) = +ve \] - Thus, `/_\G^(@)` is positive for an electrolytic cell. - **Conclusion**: Statement 2 is also TRUE. 3. **Relationship Between Statements**: - Statement 2 provides the correct explanation for Statement 1. The negative cell potential leads to a positive Gibbs free energy change, which is characteristic of an electrolytic cell. - **Conclusion**: Since both statements are true and Statement 2 correctly explains Statement 1, we conclude that the correct option is (a). ### Final Answer: (a) If both the statements are TRUE and STATEMENTS-2 is the correct explanation of STATEMENTS-1.
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