a,\(2KMnO_4\underrightarrow{^{to}}K_2MnO_4+MnO_2+O_2\)
a___________1/2a_______1/2a_______
\(2KClO_3\underrightarrow{^{to}}2KCl+3O_2\)
b___________b______
\(m_{Cr}=m_{K2MnO4}+m_{MnO2}+m_{KCl}\)
\(\Leftrightarrow197.\frac{1}{2}a+87.\frac{1}{2}a+74,5b\)
\(\Rightarrow142a+74,5b\)
b,\(m_{K2MnO4}+m_{MnO2}=m_{KCl}\)
\(\Leftrightarrow142a=74,5b\)
\(\Rightarrow\frac{a}{b}=\frac{74,5}{142}=\frac{149}{284}\)