Fluorine can be prepared by the reaction of hexafluoromanganate(IV) ion, MnF \(_{6}^{2-}\), with antimony pentafluoride to produce manganese(IV) fluoride and \(\mathrm{SbF}_{6}^{-}\) followed by the disproportionation of manganese(IV) fluoride to manganese(III) fluoride and \(\mathrm{F}_{2}(\mathrm{g}) .\) Write chemical equations for these two reactions.

Short Answer

Expert verified
Balanced equations: \[ \mathrm{MnF_{6}^{2-}} + 2\mathrm{SbF_{5}} \rightarrow \mathrm{MnF_{4}} + 2\mathrm{SbF_{6}^{-}} \] and \[ 2\mathrm{MnF_{4}} \rightarrow 2\mathrm{MnF_{3}} + \mathrm{F_{2}(\mathrm{g})}\]

Step by step solution

01

Write Reactants and Products for Reaction 1

Reaction 1 involves hexafluoromanganate(IV) ion, or \( \mathrm{MnF_{6}^{2-}} \), and antimony pentafluoride, or \( \mathrm{SbF_{5}} \), reacting to form manganese(IV) fluoride, or \( \mathrm{MnF_{4}} \), and \(\mathrm{SbF_{6}^{-}}\). Write them as follows: \( \mathrm{MnF_{6}^{2-}} + \mathrm{SbF_{5}} \rightarrow \mathrm{MnF_{4}} + \mathrm{SbF_{6}^{-}} \)
02

Balance Reaction 1

On the right hand side, there are six fluorine atoms in \(\mathrm{SbF_{6}^{-}}\) and four in \(\mathrm{MnF_{4}}\), a total of ten. On the left hand side, there are five fluorine atoms in \(\mathrm{SbF_{5}}\) and six in \(\mathrm{MnF_{6}^{2-}}\), a total of eleven. Thus, the reaction is unbalanced. To balance, we add a coefficient of 2 to \(\mathrm{SbF_{5}}\). The balanced equation becomes: \( \mathrm{MnF_{6}^{2-}} + 2\mathrm{SbF_{5}} \rightarrow \mathrm{MnF_{4}} + 2\mathrm{SbF_{6}^{-}} \)
03

Write Reactants and Products for Reaction 2

Reaction 2 involves the disproportionation of manganese(IV) fluoride, or \( \mathrm{MnF_{4}} \), to produce manganese(III) fluoride, or \( \mathrm{MnF_{3}} \), and \(\mathrm{F_{2}(\mathrm{g})}\). Write them as follows: \( \mathrm{MnF_{4}} \rightarrow \mathrm{MnF_{3}} + \mathrm{F_{2}(\mathrm{g})}\)
04

Balance Reaction 2

In this reaction, there are four fluorine atoms on the left but only three plus two on the right. Add a coefficient of 2 in front of \( \mathrm{MnF_{4}} \) and \( \mathrm{MnF_{3}}\) on the left and right respectively. The balanced equation becomes: \( 2\mathrm{MnF_{4}} \rightarrow 2\mathrm{MnF_{3}} + \mathrm{F_{2}(\mathrm{g})}\)

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