Interpret Data and Determine Rate Law of Gas Phase Reaction

Question

You’ve been in the research lab for the past 3 months. Dr. Bowman said he would let you out of the lab once you determined the rate law for the gas phase reaction
W + X → Y + Z

Twenty-two boxes of Ritz crackers and 37 tins of tuna fish later, the following table summarizes your work

What is the best choice for a rate law that fits the data?

a)    –r_W = k₁P_WP_XP_YP_Z
b)    –r_W = k₁P_WP_Y²/(1+k₂P_X)
c)    –r_W = k₁P_WP_X/(1+k₂P_Y)
d)    –r_W = k₁P_WP_X²/(1+k₂P_Y)
e)    –r_W = k₁P_WP_X²/(1+k₂P_Y)
f)    –r_W = k₁P_WP_X²/(1+k₂P_X)
g)    –r_W = 7

Summary

The short answer question belongs to Chemical Engineering and it is about determining the rate law of gas phase reaction. The answer is dependent on the data given in the table.