Respuesta :
Answer : The molarity of [tex]I_3^-[/tex] in the solution is, 0.128 M
Explanation :
The given balanced chemical reaction is,
[tex]2S_2O_2^{-3}(aq)+I_3(aq)\rightarrow S_4O_2^{-6}(aq)+3I^-(aq)[/tex]
First we have to calculate the moles of [tex]Na_2S_2O_3[/tex].
[tex]\text{Moles of }Na_2S_2O_3=\text{Molarity of }Na_2S_2O_3\times \text{Volume of solution}[/tex]
[tex]\text{Moles of }Na_2S_2O_3=0.260mole/L\times 0.0296L=0.007696mole[/tex]
Conversion used : (1 L = 1000 ml)
Now we have to calculate the moles of [tex]I_3^-[/tex].
From the balanced chemical reaction, we conclude that
As, 2 moles of [tex]S_2O_2^{-3}[/tex] react with 1 mole of [tex]I_3^-[/tex]
So, 0.007696 moles of [tex]S_2O_2^{-3}[/tex] react with [tex]\frac{0.007696}{2}=0.003848[/tex] mole of [tex]I_3^-[/tex]
The moles of [tex]I_3^-[/tex] = 0.003848 mole
Now we have to calculate the molarity of [tex]I_3^-[/tex].
[tex]\text{Molarity of }I_3^-=\frac{\text{Moles of }I_3^-}{\text{Volume of solution}}[/tex]
Now put all the given values in this formula, we get:
[tex]\text{Molarity of }I_3^-=\frac{0.003848mole}{0.03L}=0.128mole/L=0.128M[/tex]
Therefore, the molarity of [tex]I_3^-[/tex] in the solution is, 0.128 M
0.128 M of iodide solution was reacted with thiosulphate.
The equation of the reaction is;
[tex]2S2O2^-3(aq) + I3^-(aq)------->S4O2^-6(aq) + 3I^- (aq)[/tex]
Number of moles of  S2O2^-3- = 29.6/1000 × 0.260 M
= 0.0077 moles
Since 2 moles of thiosulphate reacts with 1 mole of iodide
0.0077 moles of thiosulphate reacts with 0.0077 moles × 1 mole/ 2 moles
= 0.00385 moles of iodide.
Since;
Number of moles = concentration × volume
concentration of iodide = Number of moles/volume
Volume of iodide = 30/1000 = 0.03 L
Concentration of iodide = Â 0.00385 moles/0.03 L
= 0.128 M
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