Is this equation balanced?

2HCl(aq) + Ca(OH)2(aq) -------> 2H2O + CaCl2

yes. It helps in these to write water as HOH, in this you would have had 2 HOH

To determine if the equation is balanced, we need to compare the number of atoms of each element on both sides of the equation.

Let's start by counting the number of atoms:

On the left side (reactants):
- 2 hydrogen (H) atoms in HCl
- 1 calcium (Ca) atom in Ca(OH)2
- 2 oxygen (O) atoms in Ca(OH)2
- 2 hydrogen (H) atoms in Ca(OH)2
- 2 chlorine (Cl) atoms in HCl

On the right side (products):
- 2 hydrogen (H) atoms in H2O
- 1 calcium (Ca) atom in CaCl2
- 2 chlorine (Cl) atoms in CaCl2
- 2 oxygen (O) atoms in H2O

As we can see, the number of atoms is not balanced. Specifically, the number of hydrogen and chlorine atoms differ between the reactants and products.

To balance the equation, we can adjust the coefficients (numbers in front of each compound or element) to ensure the same number of atoms on both sides.

The balanced equation will be:

2HCl(aq) + Ca(OH)2(aq) → 2H2O(l) + CaCl2(aq)

Notice that we changed the physical state of the resulting compounds according to their common states. We also adjusted the coefficients to ensure that the number of atoms for each element is the same on both sides.

So, yes, the equation is balanced.