The half-life for the first order decomposition of nitramide is 2.1 hours at 15^oC.

NH₂NO₂ (s) → N₂O(g) + H₂O(l)

If 6.2 g of NH₂NO₂ is allowed to decompose, calculate the time taken for 99% decomposition of NH₂NO₂.

13.95 hours

k = \(\frac{2.303}{t}\)log\(\frac{A_o}{A}\)

Initial moles of nitramide = \(\frac{6.2}{62}\) = 0.1

∴ t = \(\frac{2.303 × 2.1}{0.693}\)log\(\frac{0.1}{0.001}\) = 13.95 hour