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:


lnAt = -kt + lnA0


where [A]t = concentration at time t, k = rate constant, t = time, [A]0 = initial concentration. 


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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.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Integrated Rate Law concept. You can view video lessons to learn Integrated Rate Law. Or if you need more Integrated Rate Law practice, you can also practice Integrated Rate Law practice problems.

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Based on our data, we think this problem is relevant for Professor Chilom's class at DIXIE.