# Problem: Dinitrogen pentoxide (N2 O5) decomposes in chloroform as a solvent to yield NO2 and O2. The decomposition is first order with a rate constant at 45 oC of 1.0x10 - 5 hr- 1.Calculate the partial pressure of O2 produced from 1.51 L of 0.601 M N2 O5 solution at 45 oC over a period of 20.1 h if the gas is collected in a 11.6-L container. (Assume that the products do not dissolve in chloroform.)

###### FREE Expert Solution

We are being asked to determine the partial pressure of O2 given the following first-order reaction:

N2 O5(g) NO2(g) + O2(g) ; k = 1.0x10 - 5 hr- 1

For this problem, we will do the following steps:

Step 1: Calculate [A] at time t using the first-order integrated rate law

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.

###### Problem Details

Dinitrogen pentoxide (N2 O5) decomposes in chloroform as a solvent to yield NO2 and O2. The decomposition is first order with a rate constant at 45 oC of 1.0x10 - 5 hr- 1.

Calculate the partial pressure of O2 produced from 1.51 L of 0.601 M N2 O5 solution at 45 oC over a period of 20.1 h if the gas is collected in a 11.6-L container. (Assume that the products do not dissolve in chloroform.)