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The balanced equation is:
Solución
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Write the unbalanced reaction:
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Assign coefficients to each species:
Let the balanced equation be -
Balance the atoms for each element.
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Nitrogen:
On the left:atoms (from ).
On the right:atoms (each contains 3 nitrogen atoms).
Therefore, -
Hydrogen:
On the left:atoms (from ).
On the right:atoms (each contains 1 hydrogen atom).
Therefore,
-
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Choose the smallest integer values to satisfy these equations.
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From the hydrogen balance, we have
. -
Substitute
into the nitrogen balance: -
Set
(the smallest positive integer):
-
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Write the balanced equation with the coefficients:
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Verify the balancing:
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Nitrogen:
Left:nitrogen atoms.
Right:nitrogen atoms. -
Hydrogen:
Left:hydrogen atoms.
Right:hydrogen atoms.
-
The balanced equation is:
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Beyond the Answer
To balance the equation, we need to ensure that the number of each type of atom is the same on both sides. Start with the unbalanced equation:
Notice that we have 2 nitrogen (N) atoms on the left and 1 nitrogen atom in HN₃ on the right. To balance nitrogen, we need 2 HN₃ products, giving us:
Next, we have 2 nitrogen on both sides, but we need to balance hydrogen (H). The 2 HN₃ contains 6 hydrogen atoms (2 × 3). Thus, to balance hydrogen, we can adjust the amount of H₂:
So, the balanced equation is:
Now, both sides have 2 nitrogen and 6 hydrogen atoms.
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