Answer:
Replace the formulas inside the parentheses with single letters
Step-by-step explanation:
Here's an equation with lots of parentheses.
(NH₄)₃PO₄ + Pb(NO₃)₂ ⟶ NH₄NO₃ + Pb₃(PO₄)₂
It looks impossible to balance, doesn't it?
One way to balance the equation is to recognize that the polyatomic ions (the formulas inside the parentheses) stay together.
Then we can make some substitutions.
Let A = NH₄, X = PO₄, and Y = NO₃
Then the equation becomes
A₃X + PbY₂ ⟶ AY + Pb₃X₂
Here's how to balance it.
1. Start with the most complicated formula, Pb₃X₂, and put a 1 in front of it.
A₃X + PbY₂ ⟶ AY + 1Pb₃X₂
2. Balance Pb
We have fixed three atoms of Pb on the right, so we need three atoms of Pb on the left. Put a 3 in front of PbY₂.
A₃X + 3PbY₂ ⟶ AY + 1Pb₃X₂
3. Balance X
We have fixed two atoms of X on the right, so we need two atoms of X on the left. Put a 2 in front of A₃X.
2A₃X + 3PbY₂ ⟶ AY + 1Pb₃X₂
4. Balance A
We have fixed 6 atoms of A on the left, so we need 6 atoms of A on the right. Put a 6 in front of AY.
2A₃X + 3PbY₂ ⟶ 6AY + 1Pb₃X₂
Every formula has a coefficient, and the equation is now balanced.
Next, we replace the original formulas in the equation.
The balanced equation is
2(NH₄)₃PO₄ + 3Pb(NO₃)₂ ⟶ 6NH₄NO₃ + 1Pb₃(PO₄)₂