The elementary gas phase reaction
takes place isothermally in a flow reactor with no pressure drop. The feed is equal molar in A and B. Write the rate of reaction, -rA, solely as a function of the conversion, X [i.e. -rA = f(X)].
Hint 3: What is CA as a function of X?
Hint 4: What is CB as a function of X?
Hint 1:
Remember that the rate law for gases includes volume change.
Hint 2
Hint 3
What is CA as a function of X?
Hint 4
What is CB as a function of X?
From the stoichiometry: b/a = 1/2
Equal Molar:
Solution
We see species A is the limiting reactant as the feed is equal molar in A and B, but one mole of B consumes two moles of A.
Need to put everything in terms of per mole of limiting reactant A.
From the stoichiometry: b/a = 1/2
Equal Molar: