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In notes given by chemistry teacher, for secondary carboxylic salts the final products are alkane and ester.

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but i guess, as the reaction intermediates involve secondary/tertiary free radicals, some radicals should also go under disproportionation reaction and produce alkene.

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why this doesn't happen?

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Because of the free-radical-scavenging activity of the secondary/tertiary carboxylic salts?

Hence, radicals that could possibly undergo disproportionation reactions resulting in alkene are removed.

As a possible example, see 'Evaluation of the Free-Radical-Scavenging Activity of Diclofenac Acid on the Free-Radical-Induced Haemolysis of Human Erythrocytes'.

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