Question

The decomposition of nitrogen dioxide at a high temperature NO_2(g) rightarrow NO(g) + 1/2 O_2(g) is second-order in this reactant. The rate constant for this reaction is 3.40 L/mol min. Determine the time needed for the concentration of NO_2 to decrease from 2.00 mol/L to 1.50 mol/L.

Answer 1

For a second order reaction,

1[A] = 1/[Ao] + kt

with,

[Ao] = 2.00 mol/L

[A] = 1.50 mol/L

k = 3.40 L/mol.min

t = time

we get,

1/1.5 = 1/2 + 3.40 x t

time needed for concentration of NO2 to decrease = 0.05 min