\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH:
\(2KMnO_4\xrightarrow[]{t^o}K_2MnO_4+MnO_2+O_2\\
2H_2+O_2\xrightarrow[]{t^o}2H_2O\)
Theo PTHH: \(n_{KMnO_4}=2n_{O_2}=2.\dfrac{1}{2}n_{H_2}=0,2\left(mol\right)\)
\(\Rightarrow m_{KMnO_4}=0,2.158=31,6\left(g\right)\)