Read every arrow the same way: find the functional group the reagent attacks, name the standard reaction of that group, then draw what that reaction must give. Nothing here needs a new idea — each part is one named reaction from the aldehyde, ketone and carboxylic acid chapter.
(i) Hot alkaline permanganate chops a whole side chain down to one \(\displaystyle \mathrm{-COOH} \). The rule: an alkyl group on a benzene ring is oxidised to a single carboxyl group provided it carries at least one benzylic hydrogen (a hydrogen on the carbon joined straight to the ring). Chain length does not matter — the extra carbons leave as \(\displaystyle \mathrm{CO_2} \). Ethylbenzene's \(\displaystyle \mathrm{-CH_2CH_3} \) has two benzylic hydrogens, so the entire two-carbon chain becomes one \(\displaystyle \mathrm{-COOH} \). In \(\displaystyle \mathrm{KOH} \) the product sits as the potassium salt; the free acid is released on acid work-up.
\[\mathrm{C_6H_5CH_2CH_3 \;\xrightarrow[\Delta]{KMnO_4,\;KOH}\; C_6H_5COO^-K^+ \;\xrightarrow{H_3O^+}\; C_6H_5COOH} \]
Missing product: benzoic acid, \(\displaystyle \mathrm{C_6H_5COOH} \).
(ii) Thionyl chloride swaps the \(\displaystyle \mathrm{-OH} \) of a carboxyl group for \(\displaystyle \mathrm{-Cl} \). The rule: \(\displaystyle \mathrm{RCOOH + SOCl_2 \rightarrow RCOCl + SO_2\uparrow + HCl\uparrow} \). Both by-products are gases, which is why \(\displaystyle \mathrm{SOCl_2} \) is the preferred way to make an acid chloride. The starting material is benzene-$\displaystyle 1,2$-dicarboxylic acid (phthalic acid), and it has two \(\displaystyle \mathrm{-COOH} \) groups on neighbouring ring carbons, so both are converted.
Missing product: benzene-$\displaystyle 1,2$-dicarbonyl dichloride (phthaloyl chloride), the ring carrying \(\displaystyle \mathrm{-COCl} \) at C-$\displaystyle 1$ and C-2.
Worth separating the two heats you may have seen: phthalic acid warmed
on its own loses a molecule of water between the two ortho groups and gives phthalic anhydride. Here \(\displaystyle \mathrm{SOCl_2} \) is written over the arrow, so chlorination is what happens.
(iii) Semicarbazide is an ammonia derivative, so it condenses with the carbonyl. The rule: \(\displaystyle \mathrm{\!>\!C{=}O + H_2N{-}G \rightarrow \;>\!C{=}N{-}G + H_2O} \), a nucleophilic addition of the \(\displaystyle \mathrm{-NH_2} \) nitrogen followed by elimination of water. In semicarbazide, \(\displaystyle \mathrm{H_2N\!-\!CO\!-\!NH\!-\!NH_2} \), it is the \(\displaystyle \mathrm{-NH_2} \) of the hydrazine end that attacks, because the nitrogen next to the \(\displaystyle \mathrm{C{=}O} \) has its lone pair tied up in delocalisation.
\[\mathrm{C_6H_5CHO + H_2NNHCONH_2 \rightarrow C_6H_5CH{=}N{-}NHCONH_2 + H_2O} \]
Missing product: benzaldehyde semicarbazone.
(iv) Benzene gains an acyl group only by Friedel–Crafts acylation. The product drawn is \(\displaystyle \mathrm{C_6H_5\!-\!CO\!-\!C_6H_5} \) (benzophenone), so one benzene ring supplied is the substrate and the other arrives with the carbonyl carbon already attached to it. The rule: an acid chloride plus anhydrous \(\displaystyle \mathrm{AlCl_3} \) generates the acylium ion \(\displaystyle \mathrm{R\!-\!\overset{+}{C}{=}O} \), which is the electrophile the ring attacks.
Missing reagent: benzoyl chloride, \(\displaystyle \mathrm{C_6H_5COCl} \), with anhydrous \(\displaystyle \mathrm{AlCl_3} \).
(v) Tollens' reagent oxidises an aldehyde and leaves a ketone alone. The starting material is $\displaystyle 4$-oxocyclohexane-$\displaystyle 1$-carbaldehyde: a saturated ring with \(\displaystyle \mathrm{{=}O} \) on one carbon and \(\displaystyle \mathrm{-CHO} \) on the carbon directly opposite. The rule: \(\displaystyle \mathrm{[Ag(NH_3)_2]^+} \) is a mild oxidant, and only the aldehyde — which still has a hydrogen on the carbonyl carbon to give up — is attacked. The ketone carbon has no such hydrogen and survives untouched, so the ring \(\displaystyle \mathrm{C{=}O} \) is carried through unchanged. Silver is deposited as the mirror.
\[\mathrm{{-}CHO + 2[Ag(NH_3)_2]^+ + 3OH^- \rightarrow {-}COO^- + 2Ag\downarrow + 4NH_3 + 2H_2O} \]
Missing product: $\displaystyle 4$-oxocyclohexane-$\displaystyle 1$-carboxylic acid (obtained as its ammonium carboxylate, freed by acid), plus a silver mirror.
(vi) \(\displaystyle \mathrm{NaCN} \) with \(\displaystyle \mathrm{HCl} \) makes \(\displaystyle \mathrm{HCN} \), which adds across the aldehyde to give a cyanohydrin. The rule: \(\displaystyle \mathrm{CN^-} \) adds to the carbonyl carbon, then the alkoxide picks up a proton, giving \(\displaystyle \mathrm{{>}C(OH)CN} \). The acid is added slowly so that a controlled amount of \(\displaystyle \mathrm{CN^-} \) stays available — pure \(\displaystyle \mathrm{HCN} \) alone is too poor a source of the nucleophile. Of the two groups on the ring, only the aldehyde carbon is electrophilic enough; the \(\displaystyle \mathrm{-COOH} \) carbon is deactivated by the lone pairs of its own \(\displaystyle \mathrm{-OH} \), so it merely gets protonated back after donating a proton.
Missing product: the cyanohydrin, $\displaystyle 2$-[cyano(hydroxy)methyl]benzoic acid, \(\displaystyle \mathrm{2\text{-}(HO)(NC)CH\text{-}C_6H_4\text{-}COOH} \). (Because the new \(\displaystyle \mathrm{-OH} \) and the \(\displaystyle \mathrm{-COOH} \) are ortho to each other, this product readily loses water internally to a five-membered lactone, $\displaystyle 3$-oxo-$\displaystyle 1,3$-dihydro-$\displaystyle 2$-benzofuran-$\displaystyle 1$-carbonitrile; the addition product above is the answer being asked for.)
(vii) One partner has no \(\displaystyle \mathrm{\alpha} \)-hydrogen, so this is a crossed aldol condensation with only one possible outcome. The rule: dilute \(\displaystyle \mathrm{NaOH} \) removes an \(\displaystyle \mathrm{\alpha} \)-hydrogen to build a carbanion, which attacks another carbonyl carbon; on heating, the \(\displaystyle \mathrm{\beta} \)-hydroxy carbonyl loses water. Benzaldehyde, \(\displaystyle \mathrm{C_6H_5CHO} \), has no \(\displaystyle \mathrm{\alpha} \)-hydrogen at all, so it can only be the carbonyl that is attacked. Propanal, \(\displaystyle \mathrm{CH_3CH_2CHO} \), supplies the carbanion at its \(\displaystyle \mathrm{\alpha} \)-carbon, \(\displaystyle \mathrm{-CH_2-} \).
Addition first:
\[\mathrm{C_6H_5CHO + \;^-CH(CH_3)CHO \rightarrow C_6H_5CH(OH)CH(CH_3)CHO} \]
Then \(\displaystyle \Delta \) removes water, and the new double bond is kept because it is conjugated with both the ring and the \(\displaystyle \mathrm{C{=}O} \):
\[\mathrm{C_6H_5CH(OH)CH(CH_3)CHO \xrightarrow{\Delta} C_6H_5CH{=}C(CH_3)CHO + H_2O} \]
Missing product: $\displaystyle 2$-methyl-$\displaystyle 3$-phenylprop-$\displaystyle 2$-enal (\(\displaystyle \mathrm{\alpha} \)-methylcinnamaldehyde).
(viii) \(\displaystyle \mathrm{NaBH_4} \) reduces aldehydes and ketones but not esters or acids. That selectivity is the whole point of the part. In ethyl $\displaystyle 3$-oxobutanoate, \(\displaystyle \mathrm{CH_3COCH_2COOC_2H_5} \), there are two carbonyls: a ketone and an ester. The hydride adds to the ketone carbon only, because the ester carbonyl is already stabilised by the lone pair of its \(\displaystyle \mathrm{-OC_2H_5} \) oxygen and is far less electrophilic. Step (ii), \(\displaystyle \mathrm{H^+} \), simply protonates the alkoxide that step (i) produced.
\[\mathrm{CH_3COCH_2COOC_2H_5 \xrightarrow[(ii)\;H^+]{(i)\;NaBH_4} CH_3CH(OH)CH_2COOC_2H_5} \]
Missing product: ethyl $\displaystyle 3$-hydroxybutanoate.
(ix) \(\displaystyle \mathrm{CrO_3} \) takes a secondary alcohol to a ketone. The rule: a secondary alcohol has one hydrogen left on the carbinol carbon, so chromium(VI) removes that hydrogen along with the \(\displaystyle \mathrm{O\!-\!H} \) and stops at the ketone — there is no further oxidation without breaking a C–C bond. The starting material is cyclohexanol.
Missing product: cyclohexanone.
(x) The \(\displaystyle \mathrm{CH_2} \) hanging off the ring must end up as the \(\displaystyle \mathrm{-CHO} \) carbon, so the oxygen has to be delivered to the terminal carbon — that is anti-Markovnikov. Compare the two carbons of the exocyclic double bond: the product has \(\displaystyle \mathrm{-CHO} \) on the ring carbon, meaning the former \(\displaystyle \mathrm{{=}CH_2} \) is now the carbonyl carbon bonded to the ring. Acid-catalysed hydration would put the \(\displaystyle \mathrm{-OH} \) on the more substituted ring carbon, which is the wrong carbon. Hydroboration–oxidation puts boron, and then \(\displaystyle \mathrm{-OH} \), on the less substituted carbon:
\[\mathrm{C_6H_{10}{=}CH_2 \xrightarrow[(ii)\;H_2O_2,\;OH^-]{(i)\;B_2H_6} C_6H_{11}{-}CH_2OH} \]
That is a primary alcohol, cyclohexylmethanol. A primary alcohol goes to the aldehyde only with a mild, anhydrous oxidant — PCC — because \(\displaystyle \mathrm{KMnO_4} \) or \(\displaystyle \mathrm{K_2Cr_2O_7} \) would carry it on to the carboxylic acid:
\[\mathrm{C_6H_{11}CH_2OH \xrightarrow{PCC} C_6H_{11}CHO} \]
Missing reagents: (i) \(\displaystyle \mathrm{B_2H_6} \); (ii) \(\displaystyle \mathrm{H_2O_2/OH^-} \); (iii) PCC.
(xi) Run the ozonolysis backwards: erase both carbonyl oxygens and join the two carbons with a double bond. The rule: \(\displaystyle \mathrm{O_3} \) followed by \(\displaystyle \mathrm{Zn/H_2O} \) cuts a \(\displaystyle \mathrm{C{=}C} \) into two carbonyl compounds, one from each end (the zinc is there to destroy \(\displaystyle \mathrm{H_2O_2} \), which would otherwise oxidise any aldehyde formed). Here both fragments are the same — two molecules of cyclohexanone — so each carbonyl carbon was a ring carbon of a cyclohexane ring, and the two rings were joined to each other by that double bond.
\[\mathrm{C_6H_{10}{=}C_6H_{10} \xrightarrow[(ii)\;Zn/H_2O]{(i)\;O_3} 2\;C_6H_{10}{=}O} \]
Missing starting material: cyclohexylidenecyclohexane (two cyclohexane rings sharing one \(\displaystyle \mathrm{C{=}C} \) between their carbons).
Answer: (i) benzoic acid, \(\displaystyle \mathrm{C_6H_5COOH} \); (ii) phthaloyl chloride (benzene-$\displaystyle 1,2$-dicarbonyl dichloride); (iii) benzaldehyde semicarbazone, \(\displaystyle \mathrm{C_6H_5CH{=}N\text{-}NHCONH_2} \); (iv) \(\displaystyle \mathrm{C_6H_5COCl} \) with anhydrous \(\displaystyle \mathrm{AlCl_3} \); (v) $\displaystyle 4$-oxocyclohexane-$\displaystyle 1$-carboxylic acid with a silver mirror; (vi) the cyanohydrin $\displaystyle 2$-[cyano(hydroxy)methyl]benzoic acid; (vii) $\displaystyle 2$-methyl-$\displaystyle 3$-phenylprop-$\displaystyle 2$-enal, \(\displaystyle \mathrm{C_6H_5CH{=}C(CH_3)CHO} \); (viii) ethyl $\displaystyle 3$-hydroxybutanoate, \(\displaystyle \mathrm{CH_3CH(OH)CH_2COOC_2H_5} \); (ix) cyclohexanone; (x) (i) \(\displaystyle \mathrm{B_2H_6} \), (ii) \(\displaystyle \mathrm{H_2O_2/OH^-} \), (iii) PCC; (xi) cyclohexylidenecyclohexane.