Assertion :- In acidic medium, equivalent weight of `K_(2)Cr_(2)O_(7)` is equal to `294//6`.
Reason :- In acidic medium, `Cr_(2)O_(7)^(-2)` is reduced in `Cr^(+3)`

Options

A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.
B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.
C. If Assertion is True but the Reason is False.
D. If both Assertion & Reason are False.

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understanding the Assertion
The assertion states that in acidic medium, the equivalent weight of potassium dichromate (K₂Cr₂O₇) is equal to \( \frac{294}{6} \).

- **Molecular Weight Calculation**: The molecular weight of K₂Cr₂O₇ is given as 294 g/mol.
- **Equivalent Weight Formula**: The equivalent weight of a substance can be calculated using the formula:
\[ \text{Equivalent Weight} = \frac{\text{Molecular Weight}}{n} \]
where \( n \) is the number of electrons transferred in the redox reaction.

### Step 2: Understanding the Reason
The reason states that in acidic medium, \( \text{Cr}_2\text{O}_7^{2-} \) is reduced to \( \text{Cr}^{3+} \).

- **Redox Reaction**: The reduction of dichromate ion can be represented as follows:
\[ \text{Cr}_2\text{O}_7^{2-} + 14\text{H}^+ + 6\text{e}^- \rightarrow 2\text{Cr}^{3+} + 7\text{H}_2\text{O} \]
Here, each chromium atom in \( \text{Cr}_2\text{O}_7^{2-} \) is reduced from an oxidation state of +6 to +3, which involves a total transfer of 6 electrons.

### Step 3: Calculating the Equivalent Weight
Now, we can calculate the equivalent weight using the information gathered:

1. **Molecular Weight of K₂Cr₂O₇**: 294 g/mol
2. **n Factor**: From the balanced redox reaction, we see that 6 electrons are transferred.
3. **Equivalent Weight Calculation**:
\[ \text{Equivalent Weight} = \frac{294 \text{ g/mol}}{6} = 49 \text{ g/equiv} \]

### Conclusion
Both the assertion and the reason are correct:
- The assertion that the equivalent weight of K₂Cr₂O₇ in acidic medium is \( \frac{294}{6} \) is true.
- The reason that \( \text{Cr}_2\text{O}_7^{2-} \) is reduced to \( \text{Cr}^{3+} \) is also true.

Thus, the correct answer is that both the assertion and reason are true, and the reason correctly explains the assertion.