1. Balanced Chemical Equation:
The reaction between beryllium and hydrochloric acid (HCl) produces beryllium chloride (BeCl₂) and hydrogen gas (H₂):
Be + 2HCl → BeCl₂ + H₂
2. Mole Ratios:
From the balanced equation, we see that 1 mole of beryllium (Be) reacts to produce 1 mole of hydrogen (H₂).
3. Convert Mass of Hydrogen to Moles:
* Molar mass of H₂ = 2.016 g/mol
* Moles of H₂ = 36.0 g / 2.016 g/mol = 17.86 moles
4. Calculate Moles of Beryllium:
Since the mole ratio of Be to H₂ is 1:1, we need 17.86 moles of beryllium.
5. Convert Moles of Beryllium to Mass:
* Molar mass of Be = 9.012 g/mol
* Mass of Be = 17.86 moles * 9.012 g/mol = 160.9 g
Therefore, the theoretical yield of beryllium needed to produce 36.0 g of hydrogen is 160.9 g.
