Gọi \(\left\{{}\begin{matrix}n_{H2SO4}:a\left(mol\right)\\n_{H2O}:b\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow98a+18b=122,5\left(1\right)\)
\(n_H=2n_{H2SO4}+2n_{H2O}=2a+2b\)
\(n_O=4n_{H2SO4}+n_{H2O}=4a+b\)
\(\Rightarrow\frac{n_H}{n_O}=\frac{2a+2b}{4a+b}=\frac{100}{53}\)
\(\Leftrightarrow53\left(2a+2b\right)=100\left(4a+b\right)\)
\(\Rightarrow294a-6b=0\left(2\right)\)
\(\left(1\right)+\left(2\right)\Rightarrow\left\{{}\begin{matrix}a=0,125\\b=6,125\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{H2SO4}=12,25\left(g\right)\\m_{H2O}=110,25\left(g\right)\end{matrix}\right.\)
\(\Rightarrow C\%=\frac{12,25}{12,25.110,25}.100\%=10\%\)
