Answers :
a₀ = 3
a₁ = 1
a₂ = 1
a₃ = 3
Explanation :
To balance the reaction equation, both left and right hand sides should have same number of atoms in each element.
Given reaction is
a₀HClO₄ + a₁Pb(NO₃)₃ → a₂Pb(ClO₄)₃ + a₃HNO₃
Here,
Left Hand Side has Right Hand Side has
H = 1 atom H = 1 atom
Cl = 1 atom Cl = 3 atoms
O = 13 atoms O = 15 atom
N = 3 atoms N = 1 atom
Pb = 1 atom Pb = 1 atom
Pb is already balanced. Then others should be balanced by adding coefficients.
First step : balance the N atoms in both sides.
There are 3 N atoms in left hand side and 1 N atom in right hand side. Hence, to balance N atoms "3" should be added before HNO₃.
Second step : balance the Cl atoms.
There are 3 Cl atoms in right hand side while 1 atom in left hand side. So, "3" should be added before HClO₄ to balance Cl atoms in both sides.
After doing those, number of O atoms and H atoms in both sides is automatically balanced.