Problem 1.
1) Grams to mole, for this we need to know molar mass of a substance.
45.7 grams of calcium chloride
calcium chloride is CaCl2
Molar mass (CaCl2) = 40.1 +2*35.5 = 111.1 g/mol
45.7 gram* 1 mol/111.1 g =(45.7/111.1) mol CaCl2
2) reaction
3CaCl2 +Al2O3 -----> 3CaO +2AlCl3
from reaction 3 mol 2 mol
from the problem 45.7/111.1 mol x mol
We have a proportion, so
x= (45.7/111.1)mol*2/3 mol AlCl3
3) Find mass of (45.7/111.1)*2/3 mol AlCl3
Molar mass (AlCl3) = 27.0 +3*35.5= 133.5 g/ mol
((45.7/111.1)*2/3 )*133.5g/1mol= 36.6 g AlCl3
Problem 2.
This problem can be solved the way like the first one.
But both problems can be solved different way.
Second way to solve these problems.
M(Na)=23.0 g/mol,
M(Na2O)= 2*23.0 +16.0= 62.0 g/mol
4Na + O2 -----> 2Na2O
moles from reaction 4mol 2 mol
masses from reaction 4mol*23.0g/1mol 2mol*62.0 g/mol
92 g 124 g
masses from the problem 25.6 g x g
Now, we can write a proportion:
92 g Na produce 124 g Na2O
25.6 g Na produce x g Na2O
92/25.6 = 124/x
x=25.6*124/92= 35.5 g Na2O