\(a,PTHH:2KMnO_4\rightarrow^{t^o}K_2MnO_4+MnO_2+O_2\\ b,n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ \Rightarrow m_{O_2}=0,3\cdot32=9,6\left(g\right)\\ \Rightarrow m_{KMnO_4\left(bđ\right)}=m_{\text{chất rắn}}+m_{O_2}=109,6\left(g\right)\\ c,n_{MnO_2}=0,3\left(mol\right)\\ \Rightarrow m_{MnO_2}=0,3\cdot87=26,1\left(g\right)\\ \Rightarrow\%_{MnO_2}=\dfrac{26,1}{100}\cdot100\%=26,1\%\\ \Rightarrow\%_{KMnO_4}=100\%-26,1\%=73,9\%\)