I think the yield of the acetylene to benzene reaction is poor, with lots of by products.
On the other hand, acetylene is probably reasonably soluble in toluene.
How about reaction of CO2 with a Grignard , for example phenylmagnesium bromide to make benzoic acid?
The old school approach was to mix the sample with excess copper oxide and then heat it to convert all the carbon present to CO2.
No need for an intermediate charcoal step (with possible losses).
I think the apparatus was a flow of nitrogen through a a hard glass tube with copper oxide to oxidise the organics to CO2 H2O etc, then copper
turnings to reduce any NOx to N2 Then silver to remove halogens and finally phosphoric acid to remove most of the water.
After that you have pretty clean CO2 in N2
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