The following data were measured for the reaction 

(c) Calculate the rate constant with proper units?

Video transcript

hi everyone. So we have the following reaction below. And the following data was gathered to ask what is the rate constant with correct units. So we're gonna look at the right law equation. And this is right because the rate constant concentration of A. The power of X. And X. Is the order with respect to a house construction 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. To find the right order for A. We're gonna use the 2nd and 5th experiments. For the fifth experiment we have 0. Mueller per second. You go to the right concept 0. smaller for the constitution of A. The power of X. From 0.015 smaller the power of Y. For the construction of b. from the second experiment. 0.002 981 smaller per second. It goes the right concept From 0. smaller for the construction of A. To the power of X. From 0.015 smaller for the concentration of b. to the power of Y. And so these are gonna cancel out. And this is well zero for 0.5 equals 0.5 to the power of eggs And X is equal to one. So A. His first order and to find the right order for B. We're gonna use the 1st and 3rd experiment For the third experiment, we have 0.00 9331 Mueller per second. You go to the rate constant time. 0.045 smaller the concentration of A. To the power of X 0.048 Mueller. The construction of B to the power of Y. And then for the first experiment we have 0. 4666 Mueller per second. It was the rate constant From 0.045, smaller for the construction of A. To the power of X 0.024. The concentration of B. To the power of Y. So these are gonna cancel out. And this as well. So we're left with two equals two is in the part of Y and Y equals one. The B is also first order. And for our rate equation we're gonna have rape equals the rate constant house construction of A. The power of one task concentration of B. The power of one. Because they're both first order. So now we're gonna use the experiment one to find the rate constant 0.004666 Mueller per second equal to the rate constant times 0.45 moller for the concentration of a. Times 0.24 moller. For the concentration of B. You'll get 0. smaller per second Because the rate constant times 0. 108 more squared. And if we divide both sides by 0.00108 smaller square for the rate constant, They get 4.32 One power, 10 2nd to the next one. Power. Thanks for watching my video. And I hope it was helpful.