Acetylene production reaction from methane is given below.

$2$CH$4[$g$]$C$2$H$2[$g$]+3$H$2[$g$]$

Acetylene decomposition is an undesirable reaction.

C$2$H$5[$g$]2$C$[$k$]+2$H$2[$g$]$

Methane is fed to the reactor at a rate of $10$ mol$/$s at $1500$C$.975$ kW heat is supplied to the reactor. The resulting product stream is at $1500$C and the conversion of methane is $60\%.$ Find the unknowns in the mass and energy balances using the specific heat capacities given below. Calculate the yield of acetylene.

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