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Mass of Aluminum in Aluminum Sulfate
The quality of aluminium in alum is usually the sulfate of aluminium. To understand the quality of aluminium, it is necessary to study its chemical and mathematical calculations in detail.
The chemical formula of aluminium sulfate is $Al_ {2} (SO_ {4}) _ {3} $. This formula shows that in the molecular aluminium sulfate, there are two aluminium atoms, three sulfur atoms, and twelve oxygen atoms.
The atomic mass of aluminium is about 27 dollars $, that of sulfur is about 32 dollars $, and that of oxygen is about 16 dollars $. Then the molar mass of aluminum sulfate is: 2 dollars\ times27 + 3\ times (32 + 4\ times16) $
$= 54 + 3\ times (32 + 64) $
$= 54 + 3\ times96 $
$= 54 + 288 $
$= 342 $.
and the mass contribution of aluminum is 2 dollars\ times27 = 54 $.
Therefore, the mass fraction of aluminum in aluminum sulfate is: $\ frac {54} {342}\ times100\% =\ frac {5400} {342}\%\ approx 15.8\% $.
If the total mass of aluminum sulfate is known to be $m $g, then the mass of aluminum $M_ {Al} $is: $M_ {Al} = m\ times15.8\% = 0.158m $g.
To obtain the mass of aluminum in aluminum sulfate, the author of its chemical formula calculates the molar mass of aluminum sulfate and the mass contribution of aluminum by atomic mass, and obtains the mass fraction. Multiplying the total mass of aluminum sulfate, the mass of aluminum is obtained. This is also a method for finding the quality of aluminum in aluminum sulfate.
The chemical formula of aluminium sulfate is $Al_ {2} (SO_ {4}) _ {3} $. This formula shows that in the molecular aluminium sulfate, there are two aluminium atoms, three sulfur atoms, and twelve oxygen atoms.
The atomic mass of aluminium is about 27 dollars $, that of sulfur is about 32 dollars $, and that of oxygen is about 16 dollars $. Then the molar mass of aluminum sulfate is: 2 dollars\ times27 + 3\ times (32 + 4\ times16) $
$= 54 + 3\ times (32 + 64) $
$= 54 + 3\ times96 $
$= 54 + 288 $
$= 342 $.
and the mass contribution of aluminum is 2 dollars\ times27 = 54 $.
Therefore, the mass fraction of aluminum in aluminum sulfate is: $\ frac {54} {342}\ times100\% =\ frac {5400} {342}\%\ approx 15.8\% $.
If the total mass of aluminum sulfate is known to be $m $g, then the mass of aluminum $M_ {Al} $is: $M_ {Al} = m\ times15.8\% = 0.158m $g.
To obtain the mass of aluminum in aluminum sulfate, the author of its chemical formula calculates the molar mass of aluminum sulfate and the mass contribution of aluminum by atomic mass, and obtains the mass fraction. Multiplying the total mass of aluminum sulfate, the mass of aluminum is obtained. This is also a method for finding the quality of aluminum in aluminum sulfate.
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