# Problem: At 25°C the decomposition of N2O5 (g) into NO2 (g) and O2(g) follows first-order kinetics with k = 3.4 10-5 s-1. How long will it take for a sample originally containing 2.0 atm of N2O5 to reach a partial pressure of 380 torr?

###### FREE Expert Solution

The integrated rate law for a first-order reaction is as follows:

where:

[A]t = concentration at time t

k = rate constant

t = time

[A]0 = initial concentration

The moles are proportional to pressure so we can use the pressure in the equation.

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###### Problem Details

At 25°C the decomposition of N2O5 (g) into NO2 (g) and O2(g) follows first-order kinetics with k = 3.4 10-5 s-1. How long will it take for a sample originally containing 2.0 atm of N2O5 to reach a partial pressure of 380 torr?