\(CH_4+O_2\rightarrow CO_2+2H_2O\)
a____________a__________
\(C_2H_4+O_2\rightarrow2CO_2+2H_2O\)
a_______________2b______
\(CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3+H_2O\)
a+2b___________a+2b_______________
\(CaCO_3\rightarrow CaO+CO_2\)
a+2b____a+2b_________
\(m_{CaO}=28\left(g\right)\)
\(\Rightarrow56.\left(a+2b\right)=28\)
\(\Rightarrow a+2b=0,5\left(1\right)\)
\(m_{CH4,C2H4}=7,6\left(g\right)\Rightarrow16a+28b=7,6\left(2\right)\)
\(\left(1\right)+\left(2\right)\Rightarrow\left\{{}\begin{matrix}a+2b=0,5\\16a+28b=7,6\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,3\\b=0,1\end{matrix}\right.\)
\(\%m_{CH4}=\frac{0,3.16}{7,6}.100\%=63,16\%\)
\(\%m_{C2H4}=100\%-63,16\%=36,84\%\)
\(\Rightarrow\%V_{CH4}=\frac{0,3}{0,4}.100\%=75\%\)
\(\Rightarrow\%V_{C2H4}=100\%-75\%=25\%\)