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Some Basic Concepts Of Chemistry

Question
CBSEENCH11005044

A compound on analysis, is found to have the following composition:
(i) Sodium = 14·31%,          (ii) Sulphur = 9·97
(iii) Oxygen = 69·50%         (iv) Hydrogen = 6·22%.
Calculate the molecular formula of the compound assuming that whole of hydrogen in the compound is present as water of crystallisation. Molecular weight of the compound is 322.

Solution
(i) To calculate the empirical formula of the compound:

(ii) To calculate the molecular formula of the compound.
Empirical formula mass of,
Na subscript 2 SH subscript 20 straight H subscript 14 space equals left parenthesis 2 cross times 23 right parenthesis plus 32 plus left parenthesis 20 cross times 1 right parenthesis plus left parenthesis 14 cross times 1 right parenthesis equals 322
                        Molecular mass = 322                         [given]
Hence,                         straight n space equals fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction space equals 322 over 322 equals 1
therefore space space space Molecular space mass space equals space straight n space cross times space Empirical space formula
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 cross times Na subscript 2 SH subscript 20 straight H subscript 14
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space Na subscript 2 SH subscript 20 straight O subscript 14 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
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Whole of the hydtogen is present in the form of water. Thus, 10 water molecules are present in the molecule.
So molecular formula of the compound is Na2SO410H2O.