JEE Advanced levelNumerical answerDifficulty 3 of 3mc215
9.2g of NX2OX4 (N = 14, O = 16) is vaporised and partly dissociates, NX2OX42NOX2. The mean molar mass of the resulting gas mixture is 69.0gmol−1. Find the mass of NOX2 present, in grams, to two decimals.
Numerical answer type, answer in g, tolerance 0.01.
Answer: 3.07 g
Start with 0.100 mol N2O4. Mean M = 92/(1 + alpha), so 1 + alpha = 92/69 = 1.3333 and alpha = 0.3333. NO2 formed = 2 x 0.100 x alpha = 0.0667 mol. Mass = 0.0667 x 46 = 3.07 g.