Question

A+B--> 2C+D is a gas phase elementary reaction. A and B are loaded in equimolar proportions. Write the rate law in terms of conversion, evaluating for all constants. What are the concentrations for both products C and D when X=0.75?

Answer 1

The reaction given is

A +B ---> C +D

For an elementary reaction the rate of reaction will be given by

Now

Ca = Cao(1-Xa)

and for Component B

Cb = Cbo(1-Xb)

substituting these values in rate equation

Now for an elementary reaction

we have the following relation

now here gamma is nothing but the stoichiometric coefficients

gamma a and gamma b will be -1 each respectively

substiuting these vales we get

we will use these equation and substitute back in the rate equation

Now here we have equimolar proportions of both the reactants hence ratio of Cbo to Cao will be 1

Now

Xa = 0.75

let the initial concentrations of A and B we 1 and 1

Hence Cao=Cbo=1

Cc = Cco + 2*Xa = 0 + 2*0.75 = 1.5 mols

Cd = Cdo + Xa = 0 + 0.75 = 0.75 mols