i) Acetone + conc.\ \(H_2SO_4\) (distillation):
Self-condensation and aromatization give mesitylene.
\[
3\,\mathrm{CH_3COCH_3}\ \xrightarrow[\text{distill.}]{\text{conc. } H_2SO_4}\ \mathrm{C_6H_3(CH_3)_3}\ (A)\ +\ 3\,\mathrm{H_2O}
\]
\(A=\) Mesitylene (1,3,5-trimethylbenzene), formula \(\mathrm{C_9H_{12}}\).
ii) Iodoform reaction of acetone (NaOH, \(I_2\), heat):
\[
\mathrm{CH_3COCH_3}+3\,I_2+4\,NaOH \rightarrow \underbrace{\mathrm{CHI_3}}_{(B)}+ \mathrm{CH_3COONa}+3\,\mathrm{NaI}+3\,\mathrm{H_2O}
\]
\(B=\) Iodoform, formula \(\mathrm{CHI_3}\) (yellow ppt.).
iii) Aldol reaction of acetaldehyde then dehydration:
\[
2\,\mathrm{CH_3CHO}\ \xrightarrow{\text{dil.\ } NaOH}\ \mathrm{CH_3CH(OH)CH_2CHO}\ (C)
\]
\[
\mathrm{CH_3CH(OH)CH_2CHO}\ \xrightarrow{\text{Heat}}\ \mathrm{CH_3CH{=}CHCHO}\ (D)+\mathrm{H_2O}
\]
\(C=\) 3-Hydroxybutanal (aldol), formula \(\mathrm{C_4H_8O_2}\).
\(D=\) Crotonaldehyde (but-2-enal), formula \(\mathrm{C_4H_6O}\).
iv) Formaldehyde with \(Ca(OH)_2\) (Cannizzaro):
\[
2\,\mathrm{HCHO}+Ca(OH)_2 \rightarrow \underbrace{(HCOO)_2Ca}_{(E)}+\mathrm{CH_3OH}
\]
\(E=\) Calcium formate, formula \((\mathrm{HCOO})_2\mathrm{Ca}\).