A: A non- spontaneous process becomes spontaneous when coupled with a suitable spontaneous reaction.
R: The overall free energy of coupled spontaneous reaction is negative.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true and the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion is true statement but Reason is false, then mark (3)

Answer

To analyze the assertion and reason provided in the question, we will break down the concepts of spontaneity, free energy, and how they relate to coupled reactions.

### Step-by-Step Solution:

1. **Understanding Non-Spontaneous Processes**:
- A non-spontaneous process is one that does not occur naturally under standard conditions. This means that the change in Gibbs free energy (ΔG) for the process is positive (ΔG > 0).

**Hint**: Recall that a positive ΔG indicates that energy must be supplied for the reaction to occur.

2. **Coupling Reactions**:
- A non-spontaneous process can become spontaneous when it is coupled with a spontaneous reaction. A spontaneous reaction has a negative ΔG (ΔG < 0).

**Hint**: Think about how energy can be transferred from one reaction to another.

3. **Overall Free Energy Change**:
- When two reactions are coupled, the overall change in Gibbs free energy (ΔG_total) is the sum of the ΔG values of the individual reactions. If we denote the non-spontaneous reaction as ΔG1 (which is positive) and the spontaneous reaction as ΔG2 (which is negative), we can express this as:
\[ \Delta G_{\text{total}} = \Delta G_1 + \Delta G_2 \]
- For the overall process to be spontaneous, we require ΔG_total to be negative:
\[ \Delta G_1 + \Delta G_2 < 0 \]
- This means that the magnitude of ΔG2 must be greater than the magnitude of ΔG1.

**Hint**: Remember that a negative value can outweigh a positive value, leading to an overall negative ΔG.

4. **Conclusion on Assertion and Reason**:
- Since coupling a non-spontaneous process with a sufficiently spontaneous reaction can lead to an overall negative ΔG, the assertion (A) is true.
- The reason (R) provided explains why the assertion is true, as it describes the condition for the overall free energy of the coupled reaction to be negative. Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion.

**Hint**: Consider how the relationship between ΔG values determines the spontaneity of the overall process.

### Final Answer:
Both the assertion (A) and reason (R) are true, and the reason is the correct explanation of the assertion.