Answer :
Balance the equation As4O6 + MnO4 = AsO4 + Mn
By manipulation and also common sense and using the algebraic method ,Do the manipulation and use common sense .
Label each compound
(a)As4O6 + (b)MnO4 = (c)AsO4 + (d)Mn
Create a System of Equations
Create an equation for each element (As, O, Mn) where each term represents the number of atoms of the element in each reactant or product.
As: 4a + 0b = 1c + 0d
O: 6a + 4b = 4c + 0d
Mn: 0a + 1b = 0c + 1d
Solve For All Variables
Use substitution, gauss elimination, or a calculator to solve for each variable.
Using Substitution or Elimination
Simplify the result to get the lowest, whole integer values.
a = 2 (As4O6)
b = 5 (MnO4)
c = 8 (AsO4)
d = 5 (Mn)
Substitute Coefficients and Verify Result
2As4O6 + 5MnO4 = 8AsO4 + 5Mn
L R
As 8 8 ✔️
O 32 32 ✔️
Mn 5 5 ✔️
Since there is an equal number of each element in the reactants and products of 2As4O6 + 5MnO4 = 8AsO4 + 5Mn, the equation is balance
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