Iron in the 2 oxidation state reacts with potassium dichromate to produce Fe3 and Cr3 according to the equation: 6 Fe2 (aq) Cr2O72-(aq) 14 H (aq) <----> 6 Fe3 (aq) 2 Cr3 (aq) 7 H2O(l) How many milliliters of 0.2937 M K2Cr2O7 are required to titrate 132.0 mL of 0.1782 M Fe2 solution

Respuesta :

Given :

Volume of [tex]Fe^{2+}[/tex] , V = 132 mL .

Molarity of [tex]Fe^{2+}[/tex], M = 0.1782 M .

To Find :

How many milliliters of 0.2937 M [tex]K_2Cr_2O_7[/tex] are required to titrate 132.0 mL of 0.1782 M [tex]Fe^{2+}[/tex] solution .

Solution :

Moles of  [tex]Fe_2[/tex] :

[tex]n=0.1782\times \dfrac{132}{1000}\ mol\\\\n=0.264\ mol[/tex]

Now , 1 mole of [tex]K_2Cr_2O_7[/tex] reacts with 6 mole of [tex]Fe^{2+}[/tex] .

So , moles of [tex]K_2Cr_2O_7[/tex] required is :

[tex]N=\dfrac{0.264}{6}=0.044\ mol[/tex]

Volume required is :

[tex]V=\dfrac{N}{M}\\\\V=\dfrac{0.044}{0.2937}\ L\\\\V=0.15\ L=150\ mL[/tex]

Hence , this is the required solution .