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Aqueous magnesium chloride and hydrogen gas are produced when solid magnesium reacts with hydrochloric acid.

Balance the equation:

[tex]\[ \text{Mg (s)} + \text{HCl (aq)} \rightarrow \text{MgCl}_2 \text{(aq)} + \text{H}_2 \text{(g)} \][/tex]

Sagot :

Let's balance the given chemical reaction step-by-step:

1. Write the unbalanced equation:
[tex]\[ Mg (s) + HCl (aq) \rightarrow MgCl_2 (aq) + H_2 (g) \][/tex]

2. Identify the number of atoms for each element on both sides of the equation:

- On the reactant side:
- Magnesium (Mg): 1
- Hydrogen (H): 1 from HCl
- Chlorine (Cl): 1 from HCl

- On the product side:
- Magnesium (Mg): 1
- Hydrogen (H): 2 from H_2
- Chlorine (Cl): 2 from MgCl_2

3. Balance hydrogen and chlorine atoms by adjusting the coefficient of HCl:
We see that there are 2 chlorine atoms on the product side (from MgCl_2) but only 1 on the reactant side (from HCl). Therefore, we need to place 2 molecules of HCl on the reactant side to balance chlorine:

[tex]\[ Mg (s) + 2 HCl (aq) \rightarrow MgCl_2 (aq) + H_2 (g) \][/tex]

4. Check the balance for each element:

- On the reactant side:
- Magnesium (Mg): 1
- Hydrogen (H): 2 from 2 HCl
- Chlorine (Cl): 2 from 2 HCl

- On the product side:
- Magnesium (Mg): 1
- Hydrogen (H): 2 from H_2
- Chlorine (Cl): 2 from MgCl_2

As we see, the reactant and product sides have the same number of atoms for each element, meaning the equation is now balanced.

So, the balanced chemical equation is:
[tex]\[ Mg (s) + 2 HCl (aq) \rightarrow MgCl_2 (aq) + H_2 (g) \][/tex]