1)
a)The balanced reaction between AlCl3 and NaOH is:
AlCl3 + 3NaOH → Al(OH)3 + 3NaCl
b) Given mass of AlCl3 = 13.4 g
Molar mass of AlCl3 = 133.34 g/mol
# moles of AlCl3 = 13.4/133.34 = 0.1005 moles
Based on the reaction stoichiometry:
1 mole of AlCl3 produces 1 mole of Al(OH)3
# moles of Al(OH)3 = 0.1005 moles
Molar mass Al(OH)3 = 78 g/mol
Amount of Al(OH)3 produced = 0.1005*78 = 7.84 g
c) Given mass of NaOH = 10.0 g
Molar mass of NaOH= 40 g/mol
# moles of NaOH = 10/40 = 0.25 moles
Based on the reaction stoichiometry:
3 moles of NaOH produces 1 mole of Al(OH)3
# moles of Al(OH)3 produced = 0.25/3 = 0.0833 moles
Molar mass Al(OH)3 = 78 g/mol
Amount of Al(OH)3 produced = 0.0833*78 = 6.50 g
d) Since moles of Al(OH)3 produced from NaOH is less, NaOH will be the limiting reagent. The amount of Al(OH)3 actually produced is 6.50 g