Chemistry - Ideal Gas Question with Solution | TestHub
Chemical explosions are characterised by the instantaneous release of large quantities of hot gases, which set up a shock wave of enormous pressure (up to 70,000 atm) and velocity (up to 32,000 km/h). For example, explosion of nitroglycerine (C3H5N3O9) releases four gases A, B, C and D.
n C3H5N3O9 → a A(g) + b B(g) + c C(g) + d D(g)
Assume that the explosion of 1 mol of nitroglycerine releases gases with a temperature of 1727°C and a volume of 2.9 l at 410.5 atm pressure.
When the products released by explosion of 0.04 mole of nitroglycerine were placed in a 821 ml flask and the flask was cooled to -23°C, product 'A' solidified and the pressure inside the flask was 4.75 atm. How many moles of A were present and what is its likely identity? Neglect the volume of solid formed.
Options:
Answer:
Solution:
Gas remaining at -23°C (250 K): n = 4.75 × 0.821/(0.0821 × 250) = 0.19 mol. So n(A) = 0.29 - 0.19 = 0.10 mol. Of the plausible products (H2O, CO2, N2, O2), only H2O solidifies at -23°C; also 0.04 × 2.5 = 0.1 mol matches 4C3H5N3O9 → 12CO2 + 10H2O + 6N2 + O2. Hence (c).
