Rate Laws (Section)Consider the reaction of peroxydisulfate ion (S2O8 2-) with iodide ion (I – )…
The following solution is suggested to handle the subject “Rate Laws (Section)Consider the reaction of peroxydisulfate ion (S2O8 2-) with iodide ion (I – )…“. Let’s keep an eye on the content below!
Question “Rate Laws (Section)Consider the reaction of peroxydisulfate ion (S2O8 2-) with iodide ion (I – )…”
Rate Laws (Section)
Consider the reaction of peroxydisulfate ion (S2O8 2-) with iodide ion (I – ) in aqueous solution:
S2O82 – (aq) + 3 I – (aq)→2 SO42 – (aq) + I3– (aq)
At a particular temperature the initial rate of disappearance of S2O8 2 – varies with reactant concentrations in the following manner:
Experiment | [S2O82‑] (M) | [I_] (M) | Initial Rate (M/S) |
1 | 0.018 | 0.036 | 2.6 × 10-6 |
2 | 0.027 | 0.036 | 3.9 × 10-6 |
3 | 0.036 | 0.054 | 7.8 × 10-6 |
4 | 0.050 | 0.072 | 1.4 × 10-5 |
(a) Determine the rate law for the reaction and state the units of the rate constant. (b) What is the average value of the rate constant for the disappearance of S2O8 2 – based on the four sets of data? (c) How is the rate of disappearance of S2O8 2 – related to the rate of disappearance of I – ? (d) What is the rate of disappearance of I – when [S2O8 2-] = 0.025 M and [I – ] = 0.050 M ?
Answer
(a)
Take a look at the following:
The following data are available to show the rate of disappearance for as well as
:
Here’s how to calculate xy:
Calculate y as follows:
Write the rate expression thus:
The overall order of the reactions is 1+1=2
The overall order of the reactions is therefore 2.
Rate constants can be described as units.
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
are the units of constant rate.
(b)
The following formulae can be used to calculate the average rate constant value:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Experiment 1:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
This experiment has a rate constant of
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
.
Experiment 2:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
This experiment has a rate constant of
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
.
Experiment 3:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Therefore, the rate constant in this experiment is
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
.
Experiment 4:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Thus, the rate constant in this experiment is
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
.
Below is how to calculate the average rate constant value:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
is the average rate constant.
(c)
Here is the relationship between
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
disappearance rate:
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
due to disappearance. Products are being formed by reactants.
(d)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
disappears when tag33 has 0.025M and tag34 has 0.050M.
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Hence,
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
The problem data is presented in terms of
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
.
Hence,
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Hence,
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
Consider-the-reaction-of-peroxydisulfate-ion-(S2O8-2-)-with-iodide-ion-(I---).png?x-oss-process=image/resize,w_560/format,webp)
is the rate of disappearance.
Conclusion
Above is the solution for “Rate Laws (Section)Consider the reaction of peroxydisulfate ion (S2O8 2-) with iodide ion (I – )…“. We hope that you find a good answer and gain the knowledge about this topic of science.