Gọi \(\left\{{}\begin{matrix}n_{Na2CO3}:x\left(mol\right)\\n_{Na2SO3}:y\left(mol\right)\end{matrix}\right.\)
\(106x+126y=55\left(1\right)\)
\(M_A=24.2=48\)
Áp dụng phương pháp đường chéo :
\(\Rightarrow\frac{n_{SO2}}{n_{CO2}}=\frac{4}{16}=\frac{1}{4}\)
\(\Rightarrow4n_{SO2}-n_{CO2}=0\)
\(\Rightarrow-x+4y=0\left(2\right)\)
\(\left(1\right)+\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,1\end{matrix}\right.\)
\(5SO_2+2KMnO_4+2H_2O\rightarrow2H_2SO_4+2MnSO_4+K_2SO_4\)
\(n_{KMnO4}=\frac{0,1.2}{5}=0,04\left(mol\right)\)
\(\Rightarrow V_{dd\left(KMnO4\right)}=\frac{0,04}{1}=0,04\left(l\right)\)