Respuesta :
The reaction rate is independent of the concentration of reactant Z from the statement of the problem. So, the concentration of reactant Z would not be in the rate law. It is only dependent on the concentration of reactant X. The rate law would most likely be r = k[X].
Answer: The rate law is, [tex]rate=k[X][/tex] .
Solution:- Let's say the order of reaction with respect to Z and X is n and m respectively.
So, the rate law in general could be written as:
[tex]rate=k[Z]^n[X]^m[/tex]
where k is the rate constant.
If we take a look at the given information then, Doubling the concentration of X while concentration of Z is constant doubles the rate. It means the reaction is first order with respect to X and hence the value of m is 1.
Tripling the concentration of Z while the concentration of X is constant does not affect the rate. Here the rate is independent on the concentration of Z. It indicates the reaction is zero order with respect to Z and so the value of n is 0.
So, the rate law will be, [tex]rate=k[X][/tex] .