The following initial rate data were collected for the reaction:
The rate law is:

Question

The following initial rate data were collected for the reaction:
 The rate law is:

Quizplus · Accepted Answer

The rate law is a function of the concentration of reactants raised to some exponent(s). Based on the given initial rate data, the only combination of reactant concentrations that correlates to the rate is [NO], [HBU12], and [HB0]. The exponents for [NO] and [HBU12] must be determined by comparing the initial rates for different [NO] and [HBU12] concentrations. From the data in the table, we can see that the initial rates double when the concentration of [NO] doubles while keeping the concentration of [HBU12] constant. This suggests that the rate is first order with respect to [NO]. Similarly, when the concentration of [HBU12] doubles while keeping the concentration of [NO] constant, the initial rate quadruples. This suggests that the rate is second order with respect to [HBU12]. Finally, the rate law can be written as Rate = k [NO]^1[HBU12]^2[HB0]^0, which simplifies to Rate = k [NO]^1[HBU12]^2. Therefore, the correct choice is C.

The Following Initial Rate Data Were Collected for the Reaction