In the following reaction, the values of a, b and c, respectively are
a F 2 (g) + b OH – (aq) ⎯→ c F – (aq) + d OF 2 (g) + e H 2 O(l)
Text Solution
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1. Identify the elements involved and their initial counts:
Fluorine (
)
Oxygen (O)
Hydrogen 
2. Write the unbalanced equation:

3. Balance the fluorine atoms:
There are 2 fluorine atoms on the reactant side in
.
There are fluorine atoms in both
and
on the product side.
Let's balance the fluorine atoms by assuming:
, so we have
, giving 4 fluorine atoms on the reactant side.
Assume
(4 fluoride lons), leaving 2 fluorine atoms for
(1 molecule of
).
So, we get:

4. Balance the oxygen and hydrogen atoms:
On the reactant side, there is 1 oxygen atom in
.
On the product side, there is 1 oxygen atom in
and 1 oxygen atom in
.
We balance the oxygen atoms by assuming
( 2 hydroxide ions):

5. Verify the hydrogen balance:
On the reactant side, we have 2 hydrogen atoms in
.
On the product side, we need 2 hydrogen atoms, which are provided by 1 molecule of 
The balanced equation is:

Therefore, the values of
, and
are 2,2, and 4, respectively.
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