If you can assume that the reaction occurs completely, you can use stoichiometry to calculate the number of moles of peroxodisulfate the reacted. For example, for the first reaction in the first table, the number of moles of peroxodisulfate is:
\(n=M \cdot V(L)=0.2 \frac{\mathrm{mol}}{L} \cdot 8 x 10^{-4} L=1.6 x 10^{-4} \mathrm{moles}\)
And the number of moles of iodide is:
\(n=M \cdot V(L)=0.20 \frac{\mathrm{mol}}{L} \cdot 4 x 10^{-4} L=8 \times 10^{-5} \mathrm{moles}\)
From the reaction, we can see that 3 moles of iodide react with one mole of peroxodisulfate, so the number of moles of peroxodisulfate that is \(1 / 3\) of the number of moles of iodide. In this case:
\(n_{\text {react }}=\frac{8 x 10^{-5} \text {moles }}{3}=2.67 x 10^{-5}\)
With this calculated, we can calculate the initial and final concentration of peroxodisulfate. The initial concentration is given by (the total volume of the mixture is \(1.9 \mathrm{~mL}\) ).
\(c_{i}=\frac{n_{\text {initial }}}{V}=\frac{1.6 x 10^{-4} \text {moles }}{0.0019 L}=0.0842 \mathrm{M}\)
And the final concentration is:
\(c_{f}=\frac{n_{\text {initial }}-n_{\text {react }}}{V}=\frac{\left(1.6 x 10^{-4}-2.67 x 10^{-5}\right) \text {moles }}{0.0019 L}=0.0702 M\)
So the change in concentration is:
\(\Delta c=0.0702 M-0.0842 M=-0.0140 M\)
We can calculate the value for the other reactions in the same way:
Reaction | delta c |
1 | -0.0140 M |
2 | -0.0140 M |
3 | -0.0140 M |
4 | -0.0105 M In this case, the number of moles of I- is higher than 3 times the number of moles of peroxodisulfate, so we can assume that all the peroxodisulfate will react. |
Reaction | delta c |
5 | -0.0281 M |
6 | -0.0140 M |
7 | -0.0070 M |
4 | -0.0035 M |
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