Step 1: Concept Hofmann bromamide degradation converts an amide ($R-CONH_2$) to a primary amine ($R-NH_2$) with one fewer carbon atom.
Step 2: Meaning The carbon atom of the carbonyl group ($C=O$) is lost as a carbonate ($CO_3^{2-}$) ion.
Step 3: Analysis The group lost is effectively a Carbonyl group ($CO$). Molar mass of $CO = 12 (C) + 16 (O) = 28 \text{ g/mol}$.
Step 4: Conclusion The loss in molar mass from amide to amine is $28 \text{ g/mol}$.
Final Answer: (C)