$($c$)$ For the isothermal, isobaric, catalytic gas$-$phase oxidation

the feed enters a PBR at $6$ atm and $260C,$ and is a stoichiometric mixture of only oxygen and ethylene. Set up a stoichiometric table and then write $-r_A^{\text{'}}$ as a function of partial pressures. Express the partial pressures and $-r_A^{\text{'}}$ as a function of conversion for $(1)$ a fluidized batch reactor and $(2)$ a PBR$.$ Finally, write $-r_A^{\text{'}}$ solely as a function of the rate constant and conversion.

EXPRESS THE RATE LAW IN TERMS OF PARTIAL PRESSURE. EXPRESS THE PARTIAL PRESSURE IN TERMS OF CONVERSION.