A student mixes 5.9 mL of 0.0019 M Fe(NO3)3 with 4.4 mL of 0.0045 M KSCN. What is the initial concentration of Fe3 in the final solution?

Respuesta :

Answer:

C Fe³⁺ = 0.00109 M

Explanation:

The reaction between Fe(NO₃)₃ and KSCN is:

Fe³⁺(aq) + SCN⁻(aq)  →  FeSCN²⁺(aq)

5.9mL        4.4mL        

0.0019M    0.0045M

The moles (η) of Fe(NO₃)₃ are:

[tex] \eta_{Fe(NO_3)_3} = C_{Fe(NO_3)_3} \cdot V_{Fe(NO_3)_3} = 0.0019 mol/L \cdot 5.9 \dot 10^{-3} L = 1.121 \cdot 10 ^{-5} moles [/tex]  

Since in 1 mol of Fe(NO₃)₃ we have 1 mol of Fe³⁺, the moles of Fe³⁺ are:

[tex] \eta_{Fe^{3+}} = \eta_{Fe(NO_3)_3} = 1.121 \cdot 10 ^{-5} moles [/tex]

Now, to calculate the initial concentration of Fe³⁺ we need first to find the total volume in the final solution:

[tex] V_{T} = V_{Fe(NO_3)_3} + V_{KSCN} = 5.9 mL + 4.4 mL = 10.3 mL = 0.0103 L [/tex]

Finally, the the initial concentration of Fe³⁺ is:

[tex] C_{Fe^{3+}} = \frac{\eta_{Fe^{3+}}}{V_{T}} = \frac{1.121 \cdot 10 ^{-5} moles}{0.0103 L} = 0.00109 M [/tex]  

I hope it helps you!