\(\left\{{}\begin{matrix}C_nH_{2n}:a\left(mol\right)\left(n\ge2\right)\\C_mH_{2m-2}:b\left(mol\right)\left(m\ge2\right)\end{matrix}\right.\)
Khi X tác dụng với H2:
\(C_nH_{2n}\left(a\right)+H_2\left(a\right)-\left(Ni,t^o\right)->C_nH_{2n+2}\)
\(C_mH_{2m-2}\left(b\right)+2H_2\left(2b\right)-\left(Ni,t^o\right)->C_nH_{2n+2}\)
Ta được: \(\left\{{}\begin{matrix}a+b=50\\a+2b=80\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}a=20\\b=30\end{matrix}\right.\)
=> \(n_A:n_B=V_A:V_B=2:3\)
\(CO_2\left(0,25\right)+Ca\left(OH\right)_2\rightarrow CaCO_3\left(0,25\right)+H_2O\)
\(2CO_2\left(0,1\right)+Ca\left(OH\right)_2\rightarrow Ca\left(HCO_3\right)_2\left(0,05\right)\)
\(Ca\left(HCO_3\right)_2\left(0,05\right)+KOH\rightarrow CaCO_3\left(0,05\right)+K_2CO_3+H_2O\)
\(\Rightarrow\sum n_{CO_{
2}}=0,35\left(mol\right)\)
Mặt khác: \(m_{giam}=m_{\downarrow}-\left(m_{CO_2}+m_{H_2O}\right)\)
\(\Leftrightarrow4,56=25-\left(0,35.44-18.n_{H_2O}\right)\)\(\Rightarrow n_{H_2O}=0,28\left(mol\right)\)
\(C_nH_{2n}+\left(\dfrac{3n}{2}\right)O_2\rightarrow nCO_2+nH_2O\)
\(C_mH_{2m-2}+\left(\dfrac{3m-1}{2}\right)O_2\rightarrow mCO_2+\left(m-1\right)H_2O\)
\(n_{C_mH_{2m-2}}=m_{CO_2}+n_{H_2O}=0,07\left(mol\right)\)
\(\Rightarrow n_{C_nH_{2n}}=\dfrac{2}{3}.n_{C_mH_{2m-2}}=\dfrac{7}{150}\left(mol\right)\)
Ta có: \(\dfrac{7}{150}n+0,07m=0,35\)
Khi n = 2 thì m = 3,67 (loại)
n = 3 thì m = 3 (thỏa)
n = 4 thì m = 2,3 (loại)
n = 5 thì m = 1,6 (loại)
Vậy \(\left\{{}\begin{matrix}A:C_3H_6\\B:C_3H_4\end{matrix}\right.\)