In: Chemistry
When 50.0 mL of aqueous 0.306 M (NH4)2CO3 and 50.0 mL of aqueous 0.229 M AlCl3 are mixed together, what is the mass in grams of solid formed? Show your work in the space below
3(NH4)2CO3 +2 AlCl3 ---------------- Al2(CO3)3(s) +6 NH4Cl
(NH4)2CO3 = 50.0ml of 0.306M
Number of moles of (NH4)2CO3 = 0.306M x 0.050L = 0.0153moles
AlCL3 = 50.0ml of 0.229 M
Number of moles of AlCl3 = 0.229Mx0.050L = 0.01145moles
According to equation , 2 moles of AlCL3 = 3 moles of (NH4)2CO3
0.01145 moles of AlCL3 = ?
= 3 x0.01145/2 = 0.017175 moles of (NH4)2CO3
we need 0.017175 moles of (NH4)2CO3. but we have 0.0153 moles of (NH4)2CO3. so it is used up first in the reaction. Hence it is limiting reagent.
A/C to equation , 3 moles of (NH4)2CO3 = 1 mole of Al2(CO3)3
0.0153 moles of (NH4)2CO3 = ?
= 1 x 0.0153/3 = 0.0051 moles of Al2(CO3)3
number of moles of Al2(CO3)3 formed = 0.0051 moles
molar massof Al2(CO3)3 =233.98gram/mole
mass of 0.0051 moles of Al2(CO3)3 = 233.98x0.0051 = 1.193grams.
mass of solid formed = 1.193 grams.