2.76g of silver carbonate on being strongly heated yield a residue of weighing

$\underset{2\times 276 \mathrm{g}}{2{\mathrm{Ag}}_2{\mathrm{CO}}_3}\stackrel{\mathrm{\Delta }}{⟶}\underset{4\times 108 \mathrm{g}}{4\mathrm{Ag}}+2{\mathrm{CO}}_2+{\mathrm{O}}_2$

$\because 2\times 276 \mathrm{g}\text{ of }{\mathrm{Ag}}_2{\mathrm{CO}}_3\text{ gives }=4\times 108 \mathrm{gAg}$

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

$\therefore 2.76 \mathrm{g}\text{ of }{\mathrm{Ag}}_2{\mathrm{CO}}_3\text{ gives }=\frac{{\displaystyle 4\times 108\times 2.76}}{{\displaystyle 2\times 276}}=2.16 \mathrm{gAg}$