




The reaction given involves the treatment of the compound with bromine (Br2) in the presence of sodium hydroxide (NaOH) under heat (Δ). This is a classic example of the Hofmann Bromamide Degradation Reaction.
Amide Group Conversion: The amide group (-CONH2) undergoes degradation in the presence of Br2/NaOH, forming a primary amine (-NH2).
Retention of Other Groups: The ester group (-COOCH3) remains intact during this reaction as it does not participate in the Hofmann degradation.
Formation of the Product: The resulting product is a compound where the -CONH2 group is replaced by a -NH2 group, while the ester group remains unchanged.
The major product formed in this reaction is:
Cyclohexanone derivative with an amine group (-NH2) and an ester group (-COOCH3) intact.
Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).

Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.