It is desired to produce $500$ kg$/$day of ethylene by catalytic cracking of an ethane feed stream

pure $($C$2$H$6).$ The reaction is irreversible and follows an elementary rate law

C$2$H$6($g$)-->$ C$2$H$4($g$)+$ H$2($g$)$

The flow reactor operates isothermally at $1100$ K and a pressure of $6$ atm, in such a way that

$70\%$ conversions. Determine the initial volumetric flow of ethane $($in L$/$s$)$ necessary for the production of

$500$ kg$/$day of ethylene. MC$2$H$4=28$ g$/$mol$.$