Consider the gas-phase reaction between nitric oxide and bromine at 273 C: 2 NO1g2 + Br21g2¡2 NOBr1g2. The following data for the initial rate of appearance of NOBr were obtained: Experiment 3no4 1M 2 3br2 4 1M 2 Initial Rate 1M,s2 1 0.10 0.20 24 2 0.25 0.20 150 3 0.10 0.50 60 4 0.35 0.50 735 (b) Calculate the average value of the rate constant for the appearance of NOBr from the four data sets.

Video transcript

everyone. So we're giving the following reaction below In the initial right for their parents of C. Was measured. Were asked based on the data what is the average value of the rate? Counsel for the appearance of C. We know that the right law equation is right equals the rate constant construction A. For the power of X. And X. Is ordered with respect to a concentration of B. The power of why and why is the order with respect to be? We need to first determine the order with respect to A. And B. We have to find the right order for A. We're gonna use our 2nd and 4th experiment, 0.80-9 per second. Because the right concept from 0.041 smaller. R 0.024 Smalling the power of Y. We have 1.6059 mother per second. It was the right constant. From 0.082 Smalling the power of x. smaller part of why? And I was gonna cancel out and this as well. So we're left with 0.5. The power of X. X. It was one a. Its first border to find the right order for B. Use that 3rd and 5th experiments, You have 1.3230 mother per second. It was the right constant from 0.038. Waller. The power of x. to the power of Y. 5.29 20/s. Because the right concept from 0.038 smaller R. X. From 0.064 smaller part of Why? Yeah that's gonna cancel that. And this as well. 0.25 equals 0.5. They're part of why But why? It was two and B. The second order. And for our rate at the rate constant times contract in A. Which is first order sounds concentration of B. Which is second order. So that's gonna be squared. And now we can erase this to find our rate constant. It's gonna be right by by the concentration of A. As construction of the sport. So now we need to find the right concept for each government experiment one. Alright constant. 0.7442 per second. got about 0.038 Baller from 0.024 smaller square. We get 34,000 .37 Mueller. The negative power from second to the -1. Power for experiment two For the rate constant. And 1.6059 Mueller for a second. By by 0.082 smaller. 0.024 Smalling Square. You get 34,000 Solar to power come second to the make of one. Power for experiment three for the rate constant. We get 5.29-0 dollar per second. By by 0.038 smaller. 0.064 smaller square. I get 0.79 smaller to negative power from second to negative one Power Experiment for for the right constant 0.80-9 miles per second. five x 0.04. one smaller. From 0.024 smaller square. Get 33,998. What for smaller two mega to power from second to mega one. Power for experiment five for the right Carson We have 1.3230 mother per second By by 0.038 Moeller. 0.032 mother square. Get 33,000 999. Smalling to 90 power from 2nd to 91 power Before average That 34,000 0.37. That's 34,000. Like two sides. That's 33,000 0.79 plus 33,998 0.14 plus 33,999 0.79. Good Bye Bye five. So for the average We get 3.4 house into the four baller to the negative two. Power one second to the negative one. Power, thanks for watching my video and I hope it was up for