\(a)\\ CH_4 + 2O_2 \xrightarrow{t^o} CO_2 + 2H_2O\\ 2C_2H_2 + 5O_2 \xrightarrow{t^o} 4CO_2 + 2H_2O\\ CO_2 + Ca(OH)_2 \to CaCO_3 + H_2O\\ C_2H_2 + 2Br_2 \to C_2H_2Br_4\\ b) n_{Br_2} = \dfrac{8}{160}=0,05(mol)\\ \Rightarrow n_{C_2H_2}= \dfrac{1}{2}n_{Br_2}= 0,025(mol)\\ n_{CO_2} = n_{CH_4} + 2n_{C_2H_2} = n_{CaCO_3} = \dfrac{50}{100} = 0,5(mol)\\ \Rightarrow n_{CH_4} = 0,5 - 0,025.2 = 0,45(mol)\\ \Rightarrow m = 0,45.16 + 0,05.26 = 8,5(gam)\)
\(\%m_{CH_4} = \dfrac{0,45.16}{8,5}.100\% = 84,7\%\\ \%m_{C_2H_2} = 100\% - 84,7\% = 15,3\%\)