Two reactants, X X\,X and YYY, react in the presence of a homogeneous catalyst, ZZZ, according to the following equation:
2X+Y→Zproducts 2X + Y \xrightarrow{Z} \text{products} 2X+YZproductsIn a series of rate experiments, the concentration of X X\,X is doubled, the concentration of Y Y\,Y is halved, and the concentration of the catalyst Z Z\,Z is tripled. Under these conditions, the rate of the reaction increases by a factor of 6.
Which of the following is a possible rate equation for this reaction?
rate=k[X]2[Y]\text{rate} = k [X]^2 [Y]rate=k[X]2[Y]
rate=k[X][Z]2\text{rate} = k [X] [Z]^2rate=k[X][Z]2
rate=k[X]2[Y][Z]\text{rate} = k [X]^2 [Y] [Z]rate=k[X]2[Y][Z]
rate=k[Y][Z]2\text{rate} = k [Y] [Z]^2rate=k[Y][Z]2
