Step-by-step explanation:
The statement that supports the claim that this balanced equation demonstrates the conservation of matter is that the number of atoms of each element is the same on both sides of the equation.
In the given balanced equation:
10Al + 6NH4ClO → 4Al2O3 + 2AlCl3 + 12 H2O + 3N2
If we count the number of atoms for each element on both sides of the equation, we see that they are equal.
Atoms on the left side:
Aluminum (Al): 10
Nitrogen (N): 6
Hydrogen (H): 12
Oxygen (O): 6
Chlorine (Cl): 6
Atoms on the right side:
Aluminum (Al): 10
Nitrogen (N): 6
Hydrogen (H): 12
Oxygen (O): 6
Chlorine (Cl): 6
Since the number of atoms for each element is the same on both sides of the equation, we can conclude that this balanced equation demonstrates the conservation of matter.