\(n_{O_2}=2a\left(mol\right),n_{N_2}=3a\left(mol\right),n_{SO_2}=4a\left(mol\right)\)
\(n_{hh}=2a+3a+4a=9a\left(mol\right)\)
\(\Rightarrow9a=\dfrac{5.4\cdot10^{23}}{6\cdot10^{23}}=0.9\)
\(\Rightarrow a=9\)
\(V_{hh}=0.9\cdot22.4=20.16\left(l\right)\)
\(m_{hh}=0.2\cdot32+0.3\cdot28+0.4\cdot64=40.4\left(g\right)\)