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Q. The 0.2 g of anhydrous organic acid gave on combustion 0.04 g of water and 0.195 g of $CO_2$. The acid is a dibasic acid and 0.5 g of its silver salt leaves on ignition 0.355 g of silver. The empirical weight of the compound is

Organic Chemistry – Some Basic Principles and Techniques

Solution:

% of carbon $= \frac{12}{44} \times \frac{0.195}{0.2}\times100 = 26.6$
% of hydrogen $= \frac{2}{18} \times \frac{0.04}{0.2} \times 100 = 2.22$
% of oxygen $= 100 - \left(26.6 + 2.22\right) = 71.18$
Element C H O
% 26.6 2.22 71.18
%/At. wt. $\frac{26.6}{12} = 2.22$ $\frac{2.22}{1} = 2.22$ $\frac{71.18}{16} = 4.44$
Relative number of atoms $\frac{2.22}{2.22} = 1$ $\frac{2.22}{2.22} = 1$ $\frac{4.44}{2.22} = 2 $

Hence, empirical formula $= CHO_2$
Hence, empirical weight $= 12 + 1 + 32 = 45$