1. Write the Balanced Chemical Equation:
The reaction between zinc (Zn) and hydrochloric acid (HCl) produces zinc chloride (ZnCl₂) and hydrogen gas (H₂):
Zn(s) + 2HCl(aq) → ZnCl₂(aq) + H₂(g)
2. Determine the Limiting Reactant:
* Moles of Zinc: You're given 1.80 mol of zinc.
* Moles of Hydrochloric Acid: You need to convert 7.10 g of HCl to moles.
* Molar mass of HCl = 1.01 g/mol (H) + 35.45 g/mol (Cl) = 36.46 g/mol
* Moles of HCl = (7.10 g) / (36.46 g/mol) = 0.195 mol
The limiting reactant is hydrochloric acid (HCl) because you have less of it in moles.
3. Calculate the Mass of HCl Reacted:
* Stoichiometry: The balanced equation tells us that 1 mole of Zn reacts with 2 moles of HCl.
* Moles of HCl reacting: Since HCl is the limiting reactant, it will be completely consumed. Therefore, 0.195 mol of HCl will react.
* Mass of HCl:
* Mass of HCl = (0.195 mol) * (36.46 g/mol) = 7.10 g
Answer: 7.10 grams of hydrochloric acid are reacted.