$2. 76 \mathrm{g}$ of silver carbonate on being strongly heated yield a residue weighing 

$\begin{array}{l}2{\mathrm{Ag}}_2{\mathrm{CO}}_3\stackrel{∆}{⟶}4\mathrm{Ag}+2{\mathrm{CO}}_2+{\mathrm{O}}_2\\ 2\times 276\mathrm{gm} 4\times 108\mathrm{gm}\end{array}$

$\because 2\times 276\mathrm{gm}$ of ${\mathrm{Ag}}_2{\mathrm{CO}}_3$ gives $4\times 108\mathrm{gm}$

$\therefore 1\mathrm{gm}$ of ${\mathrm{Ag}}_2{\mathrm{CO}}_3$ gives $=\frac{4\times 108}{2\times 276}$

$\therefore 2.76\mathrm{gm}$ of ${\mathrm{Ag}}_2{\mathrm{CO}}_3$ gives

$\frac{4\times 108\times 2.76}{2\times 276}=2.16\mathrm{gm}$