Answer: The molar mass of [tex]KAl(SO_4)_2.12H_2O[/tex] is 474.23 g/mol
Explanation:
Molar mass is defined as the sum of the mass of all the atoms each multiplied its atomic masses that are present in the molecular formula of a compound. It is expressed in g/mol.
We know that:
Molar mass of potassium atom = 39.09 g/mol
Molar mass of aluminium atom = 26.98 g/mol
Molar mass of sulfur atom = 32.06 g/mol
Molar mass of oxygen atom = 15.99 g/mol
Molar mass of hydrogen atom = 1.01 g/mol
The chemical formula of the given compound is [tex]KAl(SO_4)_2.12H_2O[/tex]
Molar mass of [tex]KAl(SO_4)_2.12H_2O=[(1\times 39.09)+(1\times 26.98)+2(32.06+(4\times 15.99))+12((2\times 1.01)+15.99)]=474.23g/mol[/tex]
Hence, the molar mass of [tex]KAl(SO_4)_2.12H_2O[/tex] is 474.23 g/mol
The molar mass of KAl(SO₄)₂.12H₂O is 474 g/mol
The molar mass of a compound is simply the sum of the molar masses of the individual elements present in the compound.
The molar mass of KAl(SO₄)₂.12H₂O can be obtained as follow:
Molar mass of Potassium, K = 39 g/mol
Molar mass of Aluminum, Al = 27 g/mol
Molar mass of Sulphur, S = 32 g/mol
Molar mass of Hydrogen, H = 1 g/mol
Molar mass of Oxygen, O = 16 g/mol
Molar mass of KAl(SO₄)₂.12H₂O = 39 + 27 + 2[32 + (16×4)] + 12[(2×1) + 16]
= 39 +27 + 2[32 + 64] + 12[2 + 16]
= 39 +27 + 2[96] + 12[18]
= 39 + 27 + 192 + 216
Therefore, the molar mass of KAl(SO₄)₂.12H₂O is 474 g/mol
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