1. Write the Balanced Chemical Equation
The reaction between zinc and hydrochloric acid produces zinc chloride and hydrogen gas:
Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g)
2. Determine the Limiting Reactant
* Moles of Zinc:
- Molar mass of Zn = 65.38 g/mol
- Moles of Zn = (7.35 g) / (65.38 g/mol) = 0.112 mol
* Moles of HCl:
- Molarity of HCl = 1.2 M (moles/liter)
- Volume of HCl = 500 mL = 0.5 L
- Moles of HCl = (1.2 mol/L) * (0.5 L) = 0.6 mol
* Stoichiometry:
- The balanced equation shows that 1 mole of Zn reacts with 2 moles of HCl.
- We have 0.112 moles of Zn, which would require 0.224 moles of HCl. Since we have 0.6 moles of HCl, HCl is in excess, and zinc is the limiting reactant.
3. Calculate the Mass of Hydrogen Gas Produced
* Moles of Hydrogen:
- The balanced equation shows that 1 mole of Zn produces 1 mole of H₂.
- Therefore, 0.112 moles of Zn will produce 0.112 moles of H₂.
* Mass of Hydrogen:
- Molar mass of H₂ = 2.016 g/mol
- Mass of H₂ = (0.112 mol) * (2.016 g/mol) = 0.226 g
Answer: Approximately 0.226 grams of hydrogen gas will be produced.