(a)
Mole of ${CoCl}_{3}.6{NH}_{3}$=$\frac{2.675}{267.5}$=0.01
${AgNO}_{3}(aq) + {Cl}^{-}(aq)\ \longrightarrow AgCl \downarrow$ (white)
Moles of AgCl=$\frac{4.78}{143.5}$=0.03.
mole ${CoCl}_{3}.6{NH}_{3}$ gives =0.03 mol AgCl
$\therefore$ 1 mole ${CoCl}_{3}.6{NH}_{3}$ ionizes to gives =3 mol ${Cl}^{-}$
Hence, the formula of compound is $\left\lbrack Co\left( {NH}_{3} \right)_{6} \right\rbrack{Cl}_{3}$.