In: Chemistry
A piece of aluminum foil 1.00 cm square and 0.550 mm thick is dropped into bromine and reacts violently to form aluminum bromide solid. The density of aluminum is 2.699 g/cm3. A) Write a balanced equation for this reaction. B) If the reaction goes to completion, how many moles of aluminum reacted? C) How many grams of aluminum bromide formed, assuming the aluminum reacts completely?
Solution :-
A) Balanced reaction equation is as follows
2Al(s) + 3Br2(l) --------- > 2AlBr3 (s)
B) Now lets calculate the volume of the Aluminum foil (0.550 mm = 0.055 cm)
Volume = 1.00 cm2 * 0.055 cm = 0.055 cm3
now lets calculate the mass of the Al
mass = volume * density
= 0.055 cm3 * 2.699 g per cm3
= 0.1484 g Al
So moles of Al reacting = 0.1484 mol Al
C) Now lets calculate moles of the AlBr3 using the moles of the Al
mole ratio of the Al to AlBr3 is 2 :2
therefore moles of AlBr3 are same as moles of Al
so moles of AlBr3 = 0.1484 mol AlBr3
now lets calculate the mass of AlBr3
mass = moles* molar mass
mass of AlBr3 = 0.1484 mol * 266.694 g per mol
= 39.6 g AlBr3
Therefore mass of the AlBr3 that can be produced = 39.6 g AlBr3