Question

For 2,663 kg of a compound with the formula Al(SO), determine the following quantities (4 pts each); a) The number of moles of the compound in this mass. b) The number of moles of sulfur atoms in this mass. c) The number of aluminum atoms in this mass. d) The mass of oxygen atoms in this mass.

Answer 1

a) 35.485 moles of Al(SO)

b) 35.485 moles of S atoms

c)
`2.136197(10^(25))` Al atoms

d) 567.723 g of O

Step-by-step explanation:

Let's define the following terms :

1 mol =
`6.02.(10^(23))` elemental units

For example :

1 mol of oxygen atoms =
`6.02.(10^(23))` 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(g)/(mol)`

`molarmass_((S))=32.065 (g)/(mol)`

`molarmass_((O))=15.999(g)/(mol)`

If we sum all the molar masses =
`(26.982+32.065+15.999)(g)/(mol)=75.046(g)/(mol)`

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`

75.046 g of Al(SO) = 1 mol of Al(SO)

2663 g of Al(SO) = x

`x=(2663)/(75.046)mol=35.485 mol`

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))`

35.485 moles of Al have
`(35.485)(6.02)(10^(23))=2.136197(10^(25))` 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=((2663).(15.999))/(75.046) g`

x = 567.723 g of O