\(n_{C_2H_2}=0,2\left(mol\right)\)
\(C_2H_2+H_2O\xrightarrow[H_2SO_4]{HgSO_4}CH_3CHO\)
x → x
\(CH_3CHO+2AgNO_3+3NH_3+H_2O\xrightarrow[]{}2Ag\downarrow+CH_3COONH_4+2NH_4NO_3\)
x → 2x
\(C_2H_2+2AgNO_3+2NH_3\xrightarrow[]{}C_2Ag_2\downarrow+2NH_4NO_3\)
y → y
\(\Rightarrow\left\{{}\begin{matrix}x+y=0,2\\108\cdot2x+240y=44,16\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,16\\y=0,04\end{matrix}\right.\left(mol\right)\)
\(\Rightarrow H\%=\dfrac{0,16}{0,2}\cdot100\%=80\%\)