Answer:
a) 35.485 moles of Al(SO)
b) 35.485 moles of S atoms
c)
Al atoms
d) 567.723 g of O
Explanation:
Let's define the following terms :
1 mol =
elemental units
For example :
1 mol of oxygen atoms =
oxygen atoms
Now, our compound has the following formula
Al(SO)
Where Al is aluminium
S is sulfur
And O is oxygen
All the subscripts are 1 so we can say the following :
1 molecule of Al(SO) has 1 atom of Al , 1 atom of S and 1 atom of O
In terms of moles :
1 mol of Al(SO) has 1 mol of Al , 1 mol of S and 1 mol of O
The molar masses of Al, S and O are
![molarmass_{(Al)}=26.982\frac{g}{mol}](https://tex.z-dn.net/?f=molarmass_%7B%28Al%29%7D%3D26.982%5Cfrac%7Bg%7D%7Bmol%7D)
![molarmass_{(S)}=32.065 \frac{g}{mol}](https://tex.z-dn.net/?f=molarmass_%7B%28S%29%7D%3D32.065%20%5Cfrac%7Bg%7D%7Bmol%7D)
![molarmass_{(O)}=15.999\frac{g}{mol}](https://tex.z-dn.net/?f=molarmass_%7B%28O%29%7D%3D15.999%5Cfrac%7Bg%7D%7Bmol%7D)
If we sum all the molar masses =![(26.982+32.065+15.999)\frac{g}{mol}=75.046\frac{g}{mol}](https://tex.z-dn.net/?f=%2826.982%2B32.065%2B15.999%29%5Cfrac%7Bg%7D%7Bmol%7D%3D75.046%5Cfrac%7Bg%7D%7Bmol%7D)
Finally, 75.046 g of Al(S0) is 1 mol of Al(SO) which contains 26.982 g of Al, 32.065 g of S and 15.999 g of O.
1 mol of Al(SO) contains 1 mol of Al, 1 mol of S and 1 mol of O.
Now we can calculate a),b),c) and d)
For a)
![2.663 kg=2663g](https://tex.z-dn.net/?f=2.663%20kg%3D2663g)
75.046 g of Al(SO) = 1 mol of Al(SO)
2663 g of Al(SO) = x
![x=\frac{2663}{75.046}mol=35.485 mol](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2663%7D%7B75.046%7Dmol%3D35.485%20mol)
2.663 kg of Al(SO) contains 35.485 moles of Al(SO)
b) and c) 1 mol of Al(SO) molecules contains 1 mol of S atoms and 1 mol of Al atoms
We have 35.485 moles of Al(SO) molecules so
We have 35.485 moles of S atoms
And 35.485 moles of Al atoms
If 1 mol = ![6.02(10^{23})](https://tex.z-dn.net/?f=6.02%2810%5E%7B23%7D%29)
35.485 moles of Al have
Al atoms
d) 75.046 g of Al(SO) contains 15.999 g of O
2663 g of Al(SO) contains x g of O
![x=\frac{(2663).(15.999)}{75.046} g](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%282663%29.%2815.999%29%7D%7B75.046%7D%20g)
x = 567.723 g of O