Question

What are x, y and z respectively in the following reaction?
\[ x \text{Fe}^{2+} (aq) + y \text{H}^{+} (aq) + z \text{Cr}_2\text{O}_7^{2-} (aq) \rightarrow \frac{y}{2} \text{H}_2\text{O} (l) + x \text{Fe}^{3+} (aq) + 2z \text{Cr}^{3+} (aq) \]

• A. 14, 1, 6
• B. 14, 6, 1
• C. 6, 1, 14
• D. 6, 14, 1

Hint:

Balancing redox reactions in acidic solution involves equalizing electron transfer and adding H\textsuperscript{+} and H\textsubscript{2}O to balance atoms.

Answer 1

The Correct Option is D

To balance the redox reaction, we apply ion-electron method in acidic medium: \[ 6 \text{Fe}^{2+} + 14 \text{H}^{+} + \text{Cr}_2\text{O}_7^{2-} \rightarrow 6 \text{Fe}^{3+} + 2 \text{Cr}^{3+} + 7 \text{H}_2\text{O} \] Comparing coefficients, we get \( x = 6, y = 14, z = 1 \).