a/ \(2KMnO_4\left(0,3\right)\rightarrow K_2MnO_4\left(0,15\right)+MnO_2\left(0,15\right)+O_2\left(0,15\right)\)
\(n_{KMnO_4}=\frac{47,4}{158}=0,3\)
\(\Rightarrow m_{O_2}=0,15.32=4,8\)
\(\Rightarrow m_r=47,4-4,8=42,6\)
b/ \(CH_4+2O_2\left(0,15\right)\rightarrow CO_2+2H_2O\left(0,15\right)\)
\(\Rightarrow m_{H_2O}=0,15.18=2,7\)
\(\Rightarrow V=\frac{m_{H_2O}}{D_{H_2O}}=\frac{2,7}{1}=2,7\left(ml\right)\)