\(n_{KMnO_4}=\dfrac{22,12}{158}=0,14(mol)\\ PTHH:2KMnO_4\xrightarrow{t^o}K_2MnO_4+MnO_2+O_2\\ \Rightarrow m_{O_2}=m_{KMnO_4}-m_{\text{hh rắn}}=22,12-21,16=0,96(g)\\ \Rightarrow n_{O_2}=\dfrac{0,96}{32}=0,03(mol)\\ \Rightarrow n_{KMnO_4(dư)}=0,1-0,03.2=0,04(mol)\\ \Rightarrow n_{K_2MnO_4}=n_{MnO_2}=n_{O_2}=0,03(mol)\)
\(PTHH:\\ 2KMnO_4+16HCl\to 2KCl+MnCl_2+5Cl_2\uparrow+8H_2O\\ K_2MnO_4+8HCl\to 2KCl+MnCl_2+2Cl_2\uparrow+4H_2O\\ MnO_2+4HCl\to MnCl+Cl_2\uparrow+2H_2O\\ \Rightarrow \Sigma n_{Cl_2}=\dfrac{5}{2}.0,04+2.0,03+0,03=0,29(mol)\\ \Rightarrow V_{Cl_2}=0,29.22,4=6,496(l)\)