\(\left(K_2O,Al_2O_3,BaO\right)\underrightarrow{H_2O}\left(KOH,Ba\left(OH\right)_2\right),\left(Al_2O_3\right)\\ \left(Al_2O_3\right)\underrightarrow{dpnc}Al\\ \left(KOH,Ba\left(OH\right)_2\right)\underrightarrow{KHCO_3}\left(K_2CO_3,KHCO_3\right),\left(BaCO_3\right)\\ \left(BaCO_3\right)\underrightarrow{HCl}BaCl_2\underrightarrow{dp}Ba\\ \left(K_2CO_3,KHCO_3\right)\underrightarrow{HCl}\left(KCl\right)\underrightarrow{dp}K\\ K_2O+H_2O->2KOH\\ BaO+H_2O->Ba\left(OH\right)_2\\ Al_2O_3-dpnc->2Al+\dfrac{3}{2}O_2\\ KOH+KHCO_3->K_2CO_3+H_2O\\ Ba\left(OH\right)_2+2KHCO_3->BaCO_3+K_2CO_3+2H_2O\\ BaCO_3+2HCl->BaCl_2+H_2O+CO_2\\ BaCl_2-dp->Ba+Cl_2\\ K_2CO_3+2HCl->2KCl+H_2O+CO_2\\ KHCO_3+HCl->KCl+H_2O+CO_2\\ KCl-dp->K+\dfrac{1}{2}Cl_2\)