\(n_{Al_2O_3}=\dfrac{30,6}{102}=0,3(mol)\\ n_{HCl}=\dfrac{100.21,9}{100.36,5}=0,6(mol)\\ a,PTHH:Al_2O_3+6HCl\to 2AlCl_3+3H_2O\)
\(b,\)Vì \(\dfrac{n_{Al_2O_3}}{1}>\dfrac{n_{HCl}}{6}\) nên \(Al_2O_3\) dư
\(n_{Al_2O_3(dư)}=0,3-\dfrac{1}{6}.0,6=0,2(mol)\\ \Rightarrow m_{Al_2O_3(dư)}=0,2.102=20,4(g)\\ c,n_{AlCl_3}=\dfrac{1}{3}.0,6=0,2(mol)\\ \Rightarrow C\%_{AlCl_3}=\dfrac{0,2.133,5}{100+30,6}.100\%=20,44\%\\ C\%_{Al_2O_3(dư)}=\dfrac{20,4}{100+30,6}.100\%=15,62\%\)