\(n_{O_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
PTHH: 2KMnO4 --to--> K2MnO4 + MnO2 + O2
1<------------------------------------0,5
=> \(m_{KMnO_4\left(pthh\right)}=1.158=158\left(g\right)\)
=> \(m_{KMnO_4\left(tt\right)}=\dfrac{158.100}{80}=197,5\left(g\right)\)