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Nitric oxide, \(\mathrm{NO}\), is believed to react with chlorine according to the following mechanism: $$ \mathrm{NO}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{NOCl}_{2} $$ (elementary reaction) $$ \mathrm{NOCl}_{2}+\mathrm{NO} \longrightarrow 2 \mathrm{NOCl} \quad \text { (elementary reaction) } $$ Identify any reaction intermediate. What is the overall equation?

Short Answer

Expert verified
Intermediate: \( \mathrm{NOCl}_2 \). Overall equation: \( 2 \mathrm{NO} + \mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl} \)."

Step by step solution

01

Understanding Elementary Reactions

The exercise gives two elementary reactions: 1. \( \mathrm{NO} + \mathrm{Cl}_2 \rightleftharpoons \mathrm{NOCl}_2 \)2. \( \mathrm{NOCl}_2 + \mathrm{NO} \rightarrow 2 \mathrm{NOCl} \). Our task is to identify the intermediate and the overall reaction. Elementary reactions proceed in one step, and intermediates are species formed in one step and consumed in another.
02

Identify the Intermediate

An intermediate is produced in one reaction and consumed in another. Here, \( \mathrm{NOCl}_2 \) is produced in the first step and consumed in the second step. Therefore, \( \mathrm{NOCl}_2 \) is the reaction intermediate.
03

Determine the Overall Reaction

To find the overall reaction, add the two elementary reactions:- \( \mathrm{NO} + \mathrm{Cl}_2 \rightarrow \mathrm{NOCl}_2 \)- \( \mathrm{NOCl}_2 + \mathrm{NO} \rightarrow 2 \mathrm{NOCl} \) The intermediate \( \mathrm{NOCl}_2 \) cancels out. Summing up: \[ \mathrm{NO} + \mathrm{Cl}_2 + \mathrm{NO} \rightarrow 2 \mathrm{NOCl} \] Simplifying gives the overall reaction: \[ 2 \mathrm{NO} + \mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl} \].

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Elementary Reactions
In chemical kinetics, an elementary reaction describes a process that occurs in a single step with a specific molecularity. Each elementary reaction represents a distinct collision or interaction between molecules that leads to the transformation of reactants into products. These reactions are characterized by their stoichiometry precisely matching the reaction equation given. For instance, in our example:
  • \( \mathrm{NO} + \mathrm{Cl}_2 \rightleftharpoons \mathrm{NOCl}_2 \)
  • \( \mathrm{NOCl}_2 + \mathrm{NO} \rightarrow 2 \mathrm{NOCl} \)
Each of these reactions proceeds as written and are hypothesized to happen independently in the sequence of the mechanism. Elementary reactions are the smallest units of a larger reaction mechanism and are critical for understanding the stepwise nature of chemical reactions.
They help us analyze how intermediates form and subsequently lead to the desired products.
Reaction Intermediates
Reaction intermediates are transient species that are formed during the conversion of reactants to products in a chemical reaction. They appear in the mechanism but do not show up in the final overall reaction. In the context of our example, the intermediate is identified from the elementary reactions:
  • In the first reaction: \(\mathrm{NO} + \mathrm{Cl}_2 \rightarrow \mathrm{NOCl}_2\)
  • In the second reaction: \(\mathrm{NOCl}_2 + \mathrm{NO} \rightarrow 2\mathrm{NOCl}\)
Here, \(\mathrm{NOCl}_2\) is formed in the first reaction and consumed in the second. Thus, \(\mathrm{NOCl}_2\) acts as a reaction intermediate. Reaction intermediates are essential to understanding how reactants are transformed in sequential steps, eventually leading to the final products.
The balance and consumption of these intermediates are key to writing the overall balanced chemical equation.
Overall Reaction
Identifying the overall reaction involves combining the sequential elementary reactions of a mechanism into a single equation.
The goal is to capture the net transformation from reactants to products while ignoring intermediates. From the elementary steps given:
  • \( \mathrm{NO} + \mathrm{Cl}_2 \rightarrow \mathrm{NOCl}_2 \)
  • \( \mathrm{NOCl}_2 + \mathrm{NO} \rightarrow 2 \mathrm{NOCl} \)
We notice that \(\mathrm{NOCl}_2\) is produced and then consumed, allowing it to be cancelled out in the summation.
Thus, the combined equation is:\[ 2\mathrm{NO} + \mathrm{Cl}_2 \rightarrow 2\mathrm{NOCl} \]The overall reaction presents the net view where \(\mathrm{NO}\) and \(\mathrm{Cl}_2\) transform into \(\mathrm{NOCl}\) with no apparent intermediates.
This helps in simplifying the understanding of the mechanistic pathway by focusing on initial reactants and final products.

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Most popular questions from this chapter

Nitric oxide reacts with oxygen to give nitrogen dioxide. $$ 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{NO}_{2}(g) $$ The rate law is \(-\Delta[\mathrm{NO}] / \Delta t=k[\mathrm{NO}]^{2}\left[\mathrm{O}_{2}\right]\), where the rate constant is \(1.16 \times 10^{-5} \mathrm{~L}^{2} /\left(\mathrm{mol}^{2} \cdot \mathrm{s}\right)\) at \(339^{\circ} \mathrm{C}\). A vessel con- tains \(\mathrm{NO}\) and \(\mathrm{O}_{2}\) at \(339^{\circ} \mathrm{C}\). The initial partial pressures of \(\mathrm{NO}\) and \(\mathrm{O}_{2}\) are \(155 \mathrm{mmHg}\) and \(345 \mathrm{mmHg}\), respectively. What is the rate of decrease of partial pressure of \(\mathrm{NO}\) (in \(\mathrm{mmHg}\) per second)? (Hint: From the ideal gas law, obtain an expression for the molar concentration of a particular gas in terms of its partial pressure.)

Why is it generally impossible to predict the rate law for a reaction on the basis of the chemical equation only?

For the reaction of nitric oxide, NO, with chlorine, \(\mathrm{Cl}_{2}\), $$ 2 \mathrm{NO}(g)+\mathrm{Cl}_{2}(g) \longrightarrow 2 \mathrm{NOCl}(g) $$ the observed rate law is $$ \text { Rate }=k[\mathrm{NO}]^{2}\left[\mathrm{Cl}_{2}\right] $$ What is the reaction order with respect to nitric oxide? with respect to \(\mathrm{Cl}_{2}\) ? What is the overall order?

Nitrogen dioxide, \(\mathrm{NO}_{2}\), decomposes upon heating to form nitric oxide and oxygen according to the following equation: $$ 2 \mathrm{NO}_{2}(g) \longrightarrow 2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) $$ At the beginning of an experiment, the concentration of nitrogen dioxide in a reaction vessel was \(0.1103 \mathrm{~mol} / \mathrm{L}\). After \(60.0 \mathrm{~s}\), the concentration decreased to \(0.1076 \mathrm{~mol} / \mathrm{L}\). What is the average rate of decomposition of \(\mathrm{NO}_{2}\) during this time interval, in \(\mathrm{mol} /(\mathrm{L} \cdot \mathrm{s}) ?\)

The reaction \(\mathrm{A}(g) \longrightarrow \mathrm{B}(g)+\mathrm{C}(g)\) is known to be first order in \(\mathrm{A}(g)\). It takes \(25 \mathrm{~s}\) for the concentration of \(\mathrm{A}(g)\) to decrease by one-half of its initial value. How long does it take for the concentration of \(\mathrm{A}(g)\) to decrease to one-fourth of its initial value? to one-eighth of its initial value?

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