Respuesta :
Answer: The rate law for the reaction is [tex]\text{Rate}=k[NO_3][CO][/tex]
Explanation:
Rate law is defined as the expression which expresses the rate of the reaction in terms of molar concentration of the reactants with each term raised to the power their stoichiometric coefficient of that reactant in the balanced chemical equation.
In a mechanism of the reaction, the slow step in the mechanism determines the rate of the reaction.
For the given chemical reaction:
[tex]NO_2(g)+CO(g)\rightarrow NO(g)+CO_2(g)[/tex]
The intermediate reaction of the mechanism follows:
Step 1: [tex]2NO_2(g)\rightleftharpoons NO_3(g)+NO(g);\text{ (fast)}[/tex]
Step 2: [tex]NO_3(g)+CO(g)\rightarrow NO_2(g)+CO_2(g);\text{(slow)}[/tex]
As, step 2 is the slow step. It is the rate determining step
Rate law for the reaction follows:
[tex]\text{Rate}=k[NO_3][CO][/tex]
Hence, the rate law for the reaction is written above.
The rate law is the equation that relates the reaction rate to the concentration of the reactants of the chemical reaction. The rate law for the reaction is [tex]\rm Rate = k[NO_{3}][CO].[/tex]
What is the rate equation?
The rate law is the expression for a chemical reaction that depicts the relation of the rate of the reaction to that of the concentration of the reactants present for the reaction.
The chemical reaction can be given as,
[tex]\rm NO_{2} + CO \rightarrow NO + CO_{2}[/tex]
Mechanism of the intermediate steps of the reaction can be shown as,
[tex]\rm 2\;NO_{2} \rightleftharpoons NO_{3} + NO (Fast)[/tex]
[tex]\rm NO_{3} + CO \rightarrow NO_{2} + CO_{2} (Slow)[/tex]
The rate-determining step is the slow step and the rate of the reaction can be shown as,
[tex]\rm Rate = k[NO_{3}][CO][/tex]
Therefore, the rate of the reaction is determined by the slow step of the reaction.
Learn more about the rate equation here:
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