Which one of the following is an amphoteric oxide?
Step 1: Definition of Amphoteric Oxide
An amphoteric oxide is an oxide that can react with both acids and bases to form salt and water.
Step 2: Identifying \( {Cr}_2{O}_3 \) as an Amphoteric Oxide
Chromium(III) oxide \( ({Cr}_2{O}_3) \) is an amphoteric oxide because: - It reacts with acids (e.g., \( {HCl} \)) to form \( {CrCl}_3 \): \[ {Cr}_2{O}_3 + 6{HCl} \rightarrow 2{CrCl}_3 + 3{H}_2{O} \] - It reacts with bases (e.g., NaOH) to form chromates: \[ {Cr}_2{O}_3 + 2{NaOH} + 3{H}_2{O} \rightarrow 2{NaCr(OH)}_4 \]
Step 3: Conclusion
Since \( {Cr}_2{O}_3 \) can react with both acids and bases, it is classified as an amphoteric oxide.
The incorrect statement among the following is
If the value of \( \cos \alpha \) is \( \frac{\sqrt{3}}{2} \), then \( A + A = I \), where \[ A = \begin{bmatrix} \sin\alpha & -\cos\alpha \\ \cos\alpha & \sin\alpha \end{bmatrix}. \]