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Chemistry

A salt has the following % composition — Al = 10.50%, K = 15.1%, S = 24.8% and the remaining oxygen. Calculate the empirical formula of the salt. [Al = 27, K = 39, S = 32, O = 16]

Stoichiometry

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Answer

Element% compositionAt. wt.Relative no. of atomsSimplest ratio
Al10.502710.5027\dfrac{10.50}{27} = 0.3880.3880.387\dfrac{0.388}{0.387} = 1
K15.13915.139\dfrac{15.1}{39} = 0.3870.3870.387\dfrac{0.387}{0.387} = 1
S24.83224.832\dfrac{24.8}{32} = 0.7750.7750.387\dfrac{0.775}{0.387} = 2
O100 - (10.50 + 15.1 + 24.8) = 49.61649.616\dfrac{49.6}{16} = 3.13.10.387\dfrac{3.1}{0.387} = 8

Simplest ratio of whole numbers = Al : K : S : O = 1 : 1 : 2 : 8

Hence, empirical formula is AlKS2O8 or AlK(SO4)2

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