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The decomposition of benzene diazonium chloride in aqueous solution is a reaction of first order whiChemical Kinetics Chemistry Question

Question

The decomposition of benzene diazonium chloride in aqueous solution is a reaction of first order which proceeds as: C6H5N2Cl → C6H5Cl + N2(g). A certain solution of benzene diazonium chloride contains initially an amount of this compound which gives 80 cm^3 of nitrogen on complete decomposition. It is found that at 30°C, 40 cm^3 of nitrogen are evolved in 40 minute. How long (in min) after the start of the decomposition, will 70 cm^3 of nitrogen have been evolved?

Answer: 0120

💡 Solution & Explanation

Total N2 at completion is 80 cm^3. At 40 min, 40 cm^3 is evolved, which is exactly half of the total. Thus, t1/2 = 40 min. To evolve 70 cm^3, 10 cm^3 of the potential N2 remains, which is 1/8th of the original amount. This corresponds to 3 half-lives. Time = 3 × 40 = 120 minutes. Therefore, correct answer is 0120.

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