balance the given equation KMnO4 + HCl it yields KCl + MnCl2 + Cl2 + H2O.
The balanced equation is:
2 KMnO4 + 16 HCl → 2 KCl + 2 MnCl2 + 5 Cl2 + 8 H2O
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To balance the given equation:
KMnO4 + HCl → KCl + MnCl2 + Cl2 + H2O
1. Start by counting the number of each type of atom on both sides of the equation.
On the left side (reactants):
K: 1
Mn: 1
O: 4
H: 1
Cl: 1
On the right side (products):
K: 1
Cl: 3
Mn: 1
O: 1
H: 2
2. Balance the atoms that appear in only one molecule on each side of the equation first.
a. Balance the K atoms by placing a coefficient of 4 in front of KCl on the right side of the equation.
KMnO4 + HCl → 4KCl + MnCl2 + Cl2 + H2O
3. Next, balance Cl atoms by placing a coefficient of 5 in front of HCl on the left side of the equation.
KMnO4 + 5HCl → 4KCl + MnCl2 + Cl2 + H2O
4. Balance the Mn atom by placing a coefficient of 1 in front of MnCl2 on the right side of the equation.
KMnO4 + 5HCl → 4KCl + MnCl2 + Cl2 + H2O
5. Balance the O atoms by placing a coefficient of 2 in front of H2O on the right side of the equation.
KMnO4 + 5HCl → 4KCl + MnCl2 + Cl2 + 2H2O
6. Finally, balance the H atoms by placing a coefficient of 8 in front of HCl on the left side of the equation.
KMnO4 + 8HCl → 4KCl + MnCl2 + Cl2 + 2H2O
The balanced equation is:
KMnO4 + 8HCl → 4KCl + MnCl2 + Cl2 + 2H2O