76 gram of a silver salt of dibasic acid on heating left a residue of 54 gram silver. Silver salt contains Ag,C and O only and C and O in mole ratio of I : 2 then find the mass of ${\mathrm{CO}}_2$ gas liberated during ignition of 76 gm silver salt. (Ag= 108)

$\underset{76\mathrm{g}}{{\mathrm{Ag}}_{2}A}\to \underset{54\mathrm{g}}{\mathrm{Ag}}$

${\mathrm{Ag}}_2{\mathrm{C}}_x{\mathrm{O}}_{2x}\stackrel{\mathrm{\Delta }}{⟶}{\mathrm{Ag}}_{\mathrm{g}}+{\mathrm{Co}}_2$

POAC on Ag atom 

mole of Ag atom in  ${\mathrm{Ag}}_2{\mathrm{C}}_x{\mathrm{O}}_{2x}$= mole of Ag in product 

$2\times$mole of ${\mathrm{Ag}}_2{\mathrm{C}}_x{\mathrm{O}}_{2x}$ = mole of Ag

$\frac{76\times 2}{2\times 108+A}=\frac{54}{108}$

$\Rightarrow \mathrm{A}=88$

POAC on C atom 

mole of C atom in ${\mathrm{Ag}}_2{\mathrm{C}}_2{\mathrm{O}}_4$= mole of C aton in ${\mathrm{CO}}_2$

$2\times$mole of ${\mathrm{Ag}}_2{\mathrm{C}}_2{\mathrm{O}}_4$= mole of ${\mathrm{CO}}_2$

$\begin{array}{l}\frac{2\times 76}{304}=\frac{y}{44}\\ y=\frac{2\times 76\times 44}{304}=22g\end{array}$