Upon heating, the water liberates according to the equation:
KAl(SO4)2*12H2O --> KAl(SO4)2 + 12H2O
The molar mass of KAl(SO4)2*12H2O is 474.39 g/mol
The molar mass of anhydrous KAl(SO4)2 is 258.21 g/mol
Therefore,
m(KAl(SO4)2)=40.0g(KAl(SO4)2⋅12H2O)×474.39g(KAl(SO4)2⋅12H2O)1mol((KAl(SO4)2⋅12H2O))×1mol(KAl(SO4)2⋅12H2O)1mol(KAl(SO4)2)×1mol(KAl(SO4)2)258.21g(KAl(SO4)2)=21.8g
Answer: 21.8 g
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