\(n_{Al\left(OH\right)_3}=\dfrac{19.5}{78}=0.25\left(mol\right)\)
\(n_{Al\left(OH\right)_3\left(pư\right)}=a\left(mol\right)\)
\(2Al\left(OH\right)_3\underrightarrow{^{^{t^0}}}Al_2O_3+3H_2O\)
\(a...............0.5a\)
\(m_{Cr}=m_{Al_2O_3}+m_{Al\left(OH\right)_3\left(dư\right)}=102\cdot0.5a+19.5-78a=15.45\left(g\right)\)
\(\Leftrightarrow a=0.15\)
\(H\%=\dfrac{0.15}{0.25}\cdot100\%=60\%\)