Deduction of a mechanism from experimental data

The procedures involved here are the reverse of those in Problem 6.6 above, but the reasoning is similar. 

Question. The gas phase decomposition of ethanal occurs according to CH3CHO(g) - CH4(g) + CO(g) 

The major products are CH4 and CO, with C2H6, CH3COCOCH3 and CH3COCH3 being minor products. The radicals CH, CH3CO and CHO are present. Deduce a mechanism which fits these facts. 

CH + CH - C2H6 CH + CH3CO - CH3COCH3 CH3CO + CH3CO CH3COCOCH3 

The last two minor products confirm that H abstraction occurs on the CHO group of CH3CHO. 

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