Answer: 0.109 mol
Step-by-step explanation:
Balanced chemical equation:
3 Na(s) + AlCl3(aq) --> 3 NaCl(aq) + Al(s)
3 moles of sodium metal react with 1 mole of aluminum chloride to produce 3 moles of aluminum chloride and 1 mole of solid aluminum
Molar mass of Na = 22.99 g/mol
Mass(Na) = 7.5 g
Find number of moles of Na:
n = mass of Na/molar mass of Na
=(7.5 g)/(22.99 g/mol)
= 0.3262 mol
Molar mass of AlCl3,
MM = 1*MM(Al) + 3*MM(Cl)
= 1*26.98 + 3*35.45
= 133.33 g/mol
Mass(AlCl3) = 20.0 g
Find number of moles of AlCl3,
n = mass of AlCl3/molar mass of AlCl3
=(20 g)/(1.333*10^2 g/mol)
= 0.15 mol
Balanced chemical equation is:
3 Na + AlCl3 ---> Al + 3 NaCl
3 mol of Na reacts with 1 mol of AlCl3
for 0.3262 mol of Na, 0.1087 mol of AlCl3 is required
But we have 0.15 mol of AlCl3
So, Na is the limiting reagent and we will use it in our further calculations.
According to balanced equation:
mol of Al formed = (1/3) * moles of Na
= (1/3)*0.3262
= 0.1087 mol
Answer: 0.109 mol of aluminum will precipitate out as a result of the reaction