Deriving C_A and C_B:

Remember that the reaction is:

For a gas phase system:

If the conditions are isothermal (T = T0) and isobaric (P = P0):

We must divide by the stoichiometric coefficient of our basis of calculation yielding:

And if the feed is equal molar, then:

This leaves us with CA as a function of conversion alone:

Similarly for CB:

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