Answer:
a) 35.485 moles of Al(SO)
b) 35.485 moles of S atoms
c) [tex]2.136197(10^{25})[/tex] Al atoms
d) 567.723 g of O
Explanation:
Let's define the following terms :
1 mol = [tex]6.02.(10^{23})[/tex] elemental units
For example :
1 mol of oxygen atoms = [tex]6.02.(10^{23})[/tex] 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
[tex]molarmass_{(Al)}=26.982\frac{g}{mol}[/tex]
[tex]molarmass_{(S)}=32.065 \frac{g}{mol}[/tex]
[tex]molarmass_{(O)}=15.999\frac{g}{mol}[/tex]
If we sum all the molar masses =[tex](26.982+32.065+15.999)\frac{g}{mol}=75.046\frac{g}{mol}[/tex]
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)
[tex]2.663 kg=2663g[/tex]
75.046 g of Al(SO) = 1 mol of Al(SO)
2663 g of Al(SO) = x
[tex]x=\frac{2663}{75.046}mol=35.485 mol[/tex]
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 = [tex]6.02(10^{23})[/tex]
35.485 moles of Al have [tex](35.485)(6.02)(10^{23})=2.136197(10^{25})[/tex] 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
[tex]x=\frac{(2663).(15.999)}{75.046} g[/tex]
x = 567.723 g of O
