In Dumas' method 292 mg of an organic compound released 50 mL of nitrogen gas $(N_{2})$ at 300 K temperature and 715 mm Hg pressure. The percentage composition of ' N ' in the organic compound is ________ % (Nearest integer)
(Aqueous tension at $300 K = 15 mm Hg$ )

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TestHub · Accepted Answer

​ n N 2 ​ ​ = RT P N 2 ​ ​ ⋅ V ​ n N 2 ​ ​ = 760 700 ​ × 1000 50 ​ × 0.0821 × 300 1 ​ n N ​ = 2 × n N 2 ​ ​ Mass of N = 2 × n N ​ × 14 % N = mass of organic compound mass of N ​ × 100 % N = 760 700 ​ × 1000 50 ​ × 0.0821 × 300 2 × 14 ​ × 292 1000 ​ × 100 % N = 18% ​

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