Question
Question: Which \[\beta \]- keto acid shown will not undergo decarboxylation?  are heated and carbon dioxide is lost during this process.
In the case of compound b, \alpha $$$$\beta −keto acid having it's αcarbon at bridged head so it can't undergo tautomerization and it has a fixed hybridisation of sp3 and can't undergo decarboxylation while on the other compounds β position is free so decarboxylation can be occur easily.
Thus, option b is right.
Note: Decarboxylation is the process in which loss of carbon dioxide is there in this process of tautomerization. Tautomerism is the ability of certain organic compounds to react in isomeric structures that differ from each other in the position of a hydrogen atom and a double bond.