$1.-$ The elemental reaction in the gas phase

$($CH$3)3$COOC$($CH$3)3$ C$2$H$6+$ CH$3$COCH$3$

is carried out in a PFR reactor without pressure drop isothermally at $300$ K$.$ Pure ditertbutyl peroxide

$(($CH$3)3$COOC$($CH$3)3)$ enters the reactor at $10$ atm. The equilibrium constant for this reaction at the temperature of

reaction is KC $=0\mathrm{.}025($mol& dm$3)2,$ determine:

a$)$ The equilibrium conversion, Xe

b$)$ The concentrations of the species at equilibrium $($mol$/$ dm$3).$