Questions: Consider the following mechanism for the decomposition of dinitrogen monoxide: N2O(g) → N2(g) + O(g) N2O(g) + O(g) → N2(g) + O2(g) Write the chemical equation of the overall reaction: Are there any intermediates in this mechanism? If there are intermediates, write down their chemical formulas. Put a comma between each chemical formula, if there's more than one.

Consider the following mechanism for the decomposition of dinitrogen monoxide:

N2O(g) → N2(g) + O(g)

N2O(g) + O(g) → N2(g) + O2(g)

Write the chemical equation of the overall reaction:
Are there any intermediates in this mechanism?
If there are intermediates, write down their chemical formulas. Put a comma between each chemical formula, if there's more than one.
Transcript text: Consider the following mechanism for the decomposition of dinitrogen monoxide: \[ \begin{array}{l} \mathrm{N}_{2} \mathrm{O}(g) \rightarrow \mathrm{N}_{2}(g)+\mathrm{O}(g) \\ \mathrm{N}_{2} \mathrm{O}(g)+\mathrm{O}(g) \rightarrow \mathrm{N}_{2}(g)+\mathrm{O}_{2}(g) \end{array} \] Write the chemical equation of the overall reaction: Are there any intermediates in this mechanism? If there are intermediates, write down their chemical formulas. Put a comma between each chemical formula, if there's more than one.
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Solution

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Solution Steps

Step 1: Write the chemical equation of the overall reaction

To find the overall reaction, we add the two given steps:

  1. \(\mathrm{N}_{2} \mathrm{O}(g) \rightarrow \mathrm{N}_{2}(g) + \mathrm{O}(g)\)
  2. \(\mathrm{N}_{2} \mathrm{O}(g) + \mathrm{O}(g) \rightarrow \mathrm{N}_{2}(g) + \mathrm{O}_{2}(g)\)

Adding these steps, we get: \[ \mathrm{N}_{2} \mathrm{O}(g) + \mathrm{N}_{2} \mathrm{O}(g) \rightarrow \mathrm{N}_{2}(g) + \mathrm{O}(g) + \mathrm{N}_{2}(g) + \mathrm{O}_{2}(g) \]

Simplifying, we obtain: \[ 2\mathrm{N}_{2} \mathrm{O}(g) \rightarrow 2\mathrm{N}_{2}(g) + \mathrm{O}_{2}(g) \]

Step 2: Identify intermediates in the mechanism

An intermediate is a species that is produced in one step of a reaction mechanism and consumed in a subsequent step. In this mechanism, \(\mathrm{O}(g)\) is produced in the first step and consumed in the second step.

Step 3: Write down the chemical formulas of the intermediates

The intermediate in this mechanism is \(\mathrm{O}(g)\).

Final Answer

\[ \boxed{2\mathrm{N}_{2} \mathrm{O}(g) \rightarrow 2\mathrm{N}_{2}(g) + \mathrm{O}_{2}(g)} \] \[ \boxed{\text{Yes}} \] \[ \boxed{\mathrm{O}(g)} \]

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