\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
PT: \(2K+2H_2O\rightarrow2KOH+H_2\)
\(K_2O+H_2O\rightarrow2KOH\)
Theo PT: \(n_K=2n_{H_2}=0,2\left(mol\right)\Rightarrow m_K=0,2.39=7,8\left(g\right)\)
\(\Rightarrow m_{K_2O}=12,4-7,8=4,6\left(g\right)\)