Suppose that a gas phase reaction has stoichiometry as given below. A + B righta

Question

Suppose that a gas phase reaction has stoichiometry as given below. A + B rightandleftarrow. X X+ A k _2 _rightarrow Y X + B k _3 _rightarrow Z These type(s) of reactions shown are: simultaneous opposing consecutive Write the differential rate equations with respect to the intermediate x and the product z The overall rate of reaction is equal to the rate of formation for the product z using the appropriate substitutions from parts b find an expression for the overall rate of reaction. The intermediate x is formed slowly but consumed rapidly, and so its concentration is much less than the reactants and products. What assumptions can be made? Bonus (+3): Many heterogeneous catalysts function by adsorbing gas molecules onto the surface of a solid When CO chemisorbed on W is heated gradually, a substantial amount of gas is evolved in the temperature range 400 600 K and again in the range 1400 1800 K, but not much at other temperatures. What does this behavior suggest about the way CO is adsorbed on tungsten?

Explanation / Answer

ANSWER

(a) Reaction is consecutive.

(b) Rate equation w.r.t. intermediate X is:

d[x] / dt = k1[A][B] - K-1[X] -K2[A}[X] -K3[X][B]

Rate equation w.r.t. productntermediate Y is:

d[Z] / dt = K3[X][B]

(c) Overall rate = d[Z] / dt = K3[X][B]

Since the concentration of X is much less than B it can be neglected in above equation, so overall orerall is given as:

Overall rate = d[Z] / dt = K3[B]

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