i) Phenol + Br$_2$(aq):
\[
\mathrm{C_6H_5OH + 3\,Br_2 \;\rightarrow\; 2,4,6\!-\!C_6H_2Br_3OH \downarrow + 3\,HBr}
\]
(Product: 2,4,6-tribromophenol, white ppt.)
ii) Acetylation (pyridine as base):
\[
\mathrm{C_6H_5OH + CH_3COCl \xrightarrow{pyridine} C_6H_5OCOCH_3 + HCl}
\]
(Product: phenyl acetate)
iii) Phenol + PCl$_5$ (on heating):
\[
\text{No reaction (aryl–OH is not replaced by Cl by PCl}_5\text{).}
\]
iv) Phenol + NaOH:
\[
\mathrm{C_6H_5OH + NaOH \;\rightarrow\; C_6H_5ONa + H_2O}
\]
(Product: sodium phenoxide)
v) Vapours over hot ThO$_2$ (vapour‐phase alkylation):
\[
\mathrm{C_6H_5OH + CH_3OH \xrightarrow{ThO_2,\;\Delta} C_6H_5OCH_3 + H_2O}
\]
(Product: anisole)