Question on iodine clock pre-lab assignment, please explain and do question 2 an

Question

Question on iodine clock pre-lab assignment, please explain and do question 2 and 3(all of it). Thank you!

In the hypothetic reaction X(aq) + Y(aq) rightarrow P(aq) it is found that the time required to produce a constant small amount of product, P, varies as shown below. What is the order of X and Y? What is the overall order? Suppose that the small constant amount of product described in the preceding question corresponds to [P] = 1.0 times 10^-4 M. What is the average initial rate for each of the above runs? What is the average rate constant k for this reaction? (Be sure to include units for k.)

Explanation / Answer

Q2.

first, let us use inital rate methods:

Rate 1 --> 1/50 = 0.02

Rate 2 --> 1/12 = 0.0833

Rate 3--> 1/26 = 0.038461

now

choose point 1 and 2, so

[Y] goes from 0.1 to 0.2 --> 2 x

the rate is affected --> 0.0833/0.02 = 4.1; now

rate must be 2nd, since doublling concentration will quadruple rate

[Y] = 2nd order

now, for x:

choose point 1 and 3

so

[X] goes from 0.1 to 0.2 --> 2 x

rate = --> (1/26)/(1/50) = 1.92

thisi s approx, 1 x

then

doubling concentration, will double rate

this is 1st order

so

overall rate:

Rate = k*[X][Y]^2

overall order = 1+2 = 3

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