Answer : The [tex]Al_2S_3[/tex] contains the greatest mass of aluminum.
Explanation :
For [tex]AlPO_4[/tex] :
Molar mass of [tex]AlPO_4[/tex] = 122 g/mole
Molar mass of aluminium = 27 g/mole
As, 122 g of [tex]AlPO_4[/tex] contains 27 g of Al
So, 122 g of [tex]AlPO_4[/tex] contains [tex]\frac{122}{122}\times 27=27g[/tex] of Al
The mass of 'Al' in [tex]AlPO_4[/tex] is, 27 grams.
For [tex]Al_2Cl_6[/tex] :
Molar mass of [tex]Al_2Cl_6[/tex] = 266.7 g/mole
Molar mass of aluminium = 27 g/mole
As, 266.7 g of [tex]Al_2Cl_6[/tex] contains [tex]2\times 27g[/tex] of Al
So, 266 g of [tex]Al_2Cl_6[/tex] contains [tex]\frac{266}{266.7}\times 2\times 27=54g[/tex] of Al
The mass of 'Al' in [tex]Al_2Cl_6[/tex] is, 54 grams.
For [tex]Al_2S_3[/tex] :
Molar mass of [tex]Al_2S_3[/tex] = 150 g/mole
Molar mass of aluminium = 27 g/mole
As, 150 g of [tex]Al_2S_3[/tex] contains [tex]2\times 27g[/tex] of Al
So, 225 g of [tex]Al_2S_3[/tex] contains [tex]\frac{225}{150}\times 2\times 27=81g[/tex] of Al
The mass of 'Al' in [tex]Al_2S_3[/tex] is, 81 grams.
Hence, from this we conclude that [tex]Al_2S_3[/tex] contains the greatest mass of aluminum.