\(Coi\ n_{O_2} = 3(mol)\\ 2KMnO_4 \xrightarrow K_2MnO_4 + MnO_2+ O_2\\ n_{KMnO_4} = 2n_{O_2} = 6(mol)\\ 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ n_{KClO_3} = \dfrac{2}{3}n_{O_2} = 2(mol)\\ \dfrac{m_{KMnO_4}}{m_{KClO_3}} = \dfrac{6.158}{2.122,5} = 3,869\)
\(2KMnO_4\underrightarrow{^{t^0}}K_2MnO_4+MnO_2+O_2\)
\(2a................................a\)
\(2KClO_3\underrightarrow{^{t^0}}2KCl+3O_2\)
\(\dfrac{2a}{3}..................a\)
\(m_{KMnO_4}=2a\cdot158=316a\left(g\right)\)
\(m_{KClO_3}=\dfrac{2}{3}a\cdot122.5=\dfrac{245a}{3}\left(g\right)\)
\(\dfrac{m_{KMnO_4}}{m_{KClO_3}}=\dfrac{316a}{\dfrac{245a}{3}}=\dfrac{948}{245}\)