Why Is My Calculation of the Initial Rate of Decomposition for NO2 Not Accepted?

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Discussion Overview

The discussion revolves around the calculation of the initial rate of decomposition for the reaction of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen (O2). Participants explore the application of the rate law for a second-order reaction and address issues related to the acceptance of their calculated answers in a homework context.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents their calculation of the initial rate of decomposition using the rate law for a second-order reaction, yielding a result of .000035 M/s.
  • Another participant questions whether the rate constant should be 5.4 instead of .54, suggesting a potential misinterpretation of the given data.
  • The original poster clarifies that the rate constant is indeed .54 / M*s and discusses a previous calculation for the instantaneous rate at a different concentration, which was accepted but required rounding that they found confusing.
  • A later reply suggests that the question may be misleading, as it specifically asks for the "rate of decomposition of NO2," which could imply a different interpretation of the reaction dynamics.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the correct interpretation of the rate constant and the rounding of calculated rates. There is no consensus on the proper approach to the problem, and multiple viewpoints on the calculations and their acceptance remain unresolved.

Contextual Notes

Participants note potential ambiguities in the problem statement and the implications of the second-order reaction dynamics, but do not resolve these issues. The discussion highlights the dependence on specific definitions and interpretations of the rate law.

chhhnhhsh
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Homework Statement


What is the Initial Rate of Decomposition for NO2.
Where 2NO2-----> 2NO + O2
K=.54
Concentration at t=0 is .008 M
This is a second order reaction.

Homework Equations


Rate=k[C]2

The Attempt at a Solution


Rate=.54[.008]2=.000035 (directed to give a two sig fig answer)

This answer is not being accepted, I'm not sure what I'm missing?
 
Last edited:
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welcome to pf!

hi chhhnhhsh! welcome to pf! :smile:

isn't it 5.4, not .54 ? :redface:
 
Thank you for the welcome!
Sorry I misprinted the information above.
A previous question for this problem was "what is the value of the rate constant" and the text calculates it for you as k=(.54 / M*s).

What is really getting to me is a previous question as well where it asked for the instantaneous rate at t=100 where the concentration = .00559 M.

To calculate this I did the same thing.
rate=.54(.00559)2 = .000017 M/s. The program accepted this answer but said I should have rounded to .000018 M/s. Which I didn't understand because the real answer is .000016874.
Should I be using a different rate calculation?
 
Last edited:
Maybe it's a bit of a trick question based oon the fact that the rate constant is a 2nd order one for bimolecular reaction 2NO2 -> ..., but they ask for "rate of decomposition of NO"2. ?
 
Last edited:

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