\(Đặt:n_{CH_4}=a\left(mol\right),n_{C_2H_2}=b\left(mol\right)\)
\(n_{hh}=a+b=0.35\left(mol\right)\left(1\right)\)
\(BTC:\)
\(a+2b=0.6\)
\(a=1\)
\(b=0.25\)
\(\%CH_4=\dfrac{0.1}{0.35}\cdot100\%=28.57\%\)
\(\%C_2H_2=71.43\%\)
\(\left\{{}\begin{matrix}n_{CH_4}=x\left(mol\right)\\n_{C_2H_2}=y\left(mol\right)\end{matrix}\right.\)⇒ x + y = \(\dfrac{7,84}{22,4} = 0,35(mol)\)
\(CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ C_2H_2 + \dfrac{5}{2}O_2 \xrightarrow{t^o} 2CO_2 + H_2O\\ CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\)
Theo PTHH : x + 2y = \(\dfrac{60}{100} = 0,6(2)\)
Từ (1)(2) suy ra x = 0,1 ; y = 0,25
Vậy :
\(\%V_{CH_4} = \dfrac{0,1}{0,35}.100\% = 28,57\%\\ \%V_{C_2H_2} = 100\% - 28,57\% = 71,43\%\)
