Mass of (NH₄)₂U₂O₇ : 410.05 kg
Further explanation
Reaction
2UO₂SO₄ + 6NH₃ + 3H₂O → (NH₄)₂U₂O₇ + 2(NH₄)₂SO₄
MW UO₂SO₄ : 366.091
MW (NH₄)₂U₂O₇ : 624.131
MW H₂O : 18.0153
MW NH₃ : 17.0306
mol of 100 kg water :
[tex]\tt \dfrac{100}{18.0153}=5.55[/tex]
mol of 100 kg ammonia :
[tex]\tt \dfrac{100}{17.036}=5.87[/tex]
mol of UO₂SO₄ :
[tex]\tt \dfrac{481}{366.091}=1.314[/tex]
Limiting reactants : smallest mol ratio(mol : coefficient)
[tex]\tt \dfrac{5.55}{3}\div \dfrac{5.87}{6}\div \dfrac{1.314}{2}=1.85\div 0.98\div 0.657[/tex]
UO₂SO₄ ⇒ Limiting reactants
mol (NH₄)₂U₂O₇ : mol UO₂SO₄
[tex]\tt \dfrac{1}{2}\times 1.314=0.657[/tex]
mass (NH₄)₂U₂O₇
[tex]\tt 0.657\times 624.131=410.05[/tex]
