Exhibit 13-7 Consider the gas phase reaction and data below to answer the following question(s).
-Refer to Exhibit 13-7. What is the numerical value for the rate constant, k , of the reaction above?

Question

Exhibit 13-7 Consider the gas phase reaction and data below to answer the following question(s). 
-Refer to Exhibit 13-7. What is the numerical value for the rate constant, k , of the reaction above?

Quizplus · Accepted Answer

The rate law for this reaction is rate = k[NH3]^2[NO]^1. The value of k can be determined from the experimental data provided. Looking at the first experiment, when [NH3] is doubled from 0.200 M to 0.400 M, the rate quadruples from 1.72 x 10^-2 M/s to 6.88 x 10^-2 M/s. This suggests that the rate is proportional to [NH3]^2. Looking at the second experiment, when [NO] is doubled from 0.100 M to 0.200 M, the rate doubles from 1.72 x 10^-2 M/s to 3.44 x 10^-2 M/s. This suggests that the rate is proportional to [NO]^1. Plugging in the values from the first experiment, we can solve for k: 6.88 x 10^-2 M/s = k(0.400 M)^2(0.100 M). Solving gives k = 3.41 M^-2s^-1. Therefore, the answer is B.

Exhibit 13-7 Consider the Gas Phase Reaction and Data Below