# Problem: The half-life of N2O5 (g) at a 25 °C is 4.03 x 104 s. a) Find the rate constant (k) for the first-order decomposition of N2O5 (g) at 25 °C.

###### FREE Expert Solution

We’re being asked to determine the rate constant (k) of N2O5

Recall that half-life is the time needed for the amount of a reactant to decrease by 50% or one-half

The half-life of a first-order reaction is given by:

where:

t1/2 = half-life

k = decay constant

###### Problem Details

The half-life of N2O5 (g) at a 25 °C is 4.03 x 10s.

a) Find the rate constant (k) for the first-order decomposition of N2O(g) at 25 °C.