Ethylene can be produced in a continuous dehydrogenation process at steady state.
$C_2H_6 -> C_2H_4 + H_2$
$C_2H_6 + H_2 -> 2CH_4$
The feed contains 85.0 mole% ethane ($C_2H_6$) and the balance inerts (I). The fractional conversion of ethane is 0.501, and the selectivity of ethylene to methane is 7.7.
Calculate the molar composition of the product gas and the fractional yield of ethylene.