Certainly! Here is the detailed, step-by-step solution for understanding the balanced chemical equation and the molar masses involved in it.
### Step 1: Write the Balanced Chemical Equation
The balanced chemical equation for the reaction is:
[tex]\[ \text{Mg} + 2 \text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2 \][/tex]
### Step 2: Understand Stoichiometry
Stoichiometry tells us the quantitative relationship between the reactants and products in a balanced chemical reaction:
- 1 mole of magnesium (Mg) reacts with 2 moles of hydrochloric acid (HCl).
- The reaction produces 1 mole of magnesium chloride (MgCl2) and 1 mole of hydrogen gas (H2).
### Step 3: Determine Molar Masses of Reactants and Products
Molar masses represent the mass of one mole of a substance. Here are the molar masses for each substance involved in the reaction:
- Molar mass of Mg (Magnesium): 24.305 g/mol
- Molar mass of HCl (Hydrochloric acid): 36.461 g/mol
- Molar mass of MgCl2 (Magnesium chloride): 95.211 g/mol
- Molar mass of H2 (Hydrogen gas): 2.016 g/mol
### Step 4: Summarize the Results
Based on the information provided and understanding the molar relationship in the balanced equation, the reaction can be summarized as:
1 mole of Mg (24.305 g) reacts with 2 moles of HCl (2 × 36.461 g), resulting in 1 mole of MgCl2 (95.211 g) and 1 mole of H2 (2.016 g).
Thus:
[tex]\[ \text{Balanced equation: } \text{Mg} + 2 \text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2 \][/tex]
### Key Molar Masses:
- Mg: 24.305 g/mol
- HCl: 36.461 g/mol
- MgCl2: 95.211 g/mol
- H2: 2.016 g/mol
This breakdown should help in understanding the quantities involved in the reaction.
