Are these equations balanced or unbalanced

6. 2AlN Yields 2Al+N2
Balanced

7.Mg(OH)2+2HCl Yields MgCl2+2H2O
Balanced

8. K+H2O Yields H2+KOH
Unbalanced

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To determine whether these equations are balanced or unbalanced, we need to count the number of atoms of each element on both sides of the equation.

Let's analyze each equation:

6. 2AlN --> 2Al + N2
On the left side, we have 2 aluminum (Al) atoms and 2 nitrogen (N) atoms. On the right side, we also have 2 aluminum atoms and 2 nitrogen atoms. Therefore, the equation is balanced.

7. Mg(OH)2 + 2HCl --> MgCl2 + 2H2O
On the left side, we have 1 magnesium (Mg) atom, 2 oxygen (O) atoms, and 2 hydrogen (H) atoms. On the right side, we have 1 magnesium atom, 2 chlorine (Cl) atoms, and 4 hydrogen atoms. To balance the number of oxygen atoms, we need to put a coefficient of 2 in front of the water (H2O) on the right side. So the balanced equation is:
Mg(OH)2 + 2HCl --> MgCl2 + 2H2O

8. K + H2O --> H2 + KOH
On the left side, we have 1 potassium (K) atom. On the right side, we have 2 hydrogen atoms and 1 oxygen atom from water (H2O), as well as 1 hydrogen atom and 1 potassium atom from potassium hydroxide (KOH). The number of hydrogen atoms does not match on both sides, so the equation is unbalanced.

To balance equation 8, we can add a coefficient of 2 in front of KOH to balance the number of hydrogen atoms. The balanced equation is:
2K + 2H2O --> H2 + 2KOH