a) 2KMnO4 \(\underrightarrow{to}\) K2MnO4 + MnO2 + O2 (1)
b) \(n_{KMnO_4}=\dfrac{47,4}{158}=0,3\left(mol\right)\)
Theo PT1: \(n_{O_2}=\dfrac{1}{2}n_{KMnO_4}=\dfrac{1}{2}\times0,3=0,15\left(mol\right)\)
\(\Rightarrow V_{O_2}=0,15\times22,4=3,36\left(l\right)\)
c) 2O2 + 3Fe \(\underrightarrow{to}\) Fe3O4 (2)
Theo PT: \(n_{Fe}=\dfrac{3}{2}n_{O_2}=\dfrac{3}{2}\times0,15=0,225\left(mol\right)\)
\(\Rightarrow m_{Fe}=0,225\times56=12,6\left(g\right)\)