1) Given the following the data for the reaction below: (5...

1) Given the following the data for the reaction below: (5 points) A + B ? C + D Experiment | [A]0 | [B]0 | Rate of C formation 1 | 0.40 M | 0.20 M | 0.12 M/s 2 | 0.20 M | 0.20 M | 0.030 M/s 3 | 0.60 M | 0.40 M | 0.54 M/s a) Determine the order with respect to A and B and the overall reaction order (3 points) b) Write the rate law expression (0.5 points) c) Determine the value of the rate constant k with the correct units (1.5 points)

Transcript

00:02 Dear students, the reaction is given here a plus b gives rise to c plus d and the rate information is given with respect to the concentration of the reactants a and b.

00:13 So, here we have to find out the order of the reaction with respect to a and b and overall reaction order and we have to determine the rate constant also.

00:28 Along with that, we have to write the rate law expression.

00:30 So, let us first derive, determine the order of the reaction with respect to each reactant.

00:38 So let us assume here the rate law r equal to rate constant k a to the power x and b to the power y on which order, on which exponent it depends we do not know.

00:52 So let us take the orders with respect to the concentration terms a and b as x and y.

00:58 Therefore, in the first case, let us apply the first one r1 equal to rate constant k concentration of a let us take 0 .4 first one 0 .40 to the power x and 0 .20 to the power y and rate is how much 0 .12.

01:20 Then this is one equation.

01:24 Then we can take another equation r2 equal to k taking this one 0 .20 to the power x 0 .20 to the power y equal to 0 .03.

01:44 So this is the second equation.

01:46 Then applying it to the third equation also, we will get r3 equal to k 0 .60 to the power x 0 .40 to the power y equal to 0 .54.

02:02 Now equation 1 by 2, equation 1 by 2 implies this will cancel up.

02:12 So k k will cancel and we will get 0 .40 divided by 0 .20 to the power x equal to 0 .12 and this is 0 .03.

02:25 So this is 2 to the power x equal to 4 equal to 2 to the power 2 implies x equal to 2...

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