Question

Write the rate expression for each of the following elementary steps: (a) \(\mathrm{NO}_{3}+\mathrm{CO} \longrightarrow \mathrm{NO}_{2}+\mathrm{CO}_{2}\) (b) \(\mathrm{I}_{2} \longrightarrow 2 \mathrm{I}\) (c) \(\mathrm{NO}+\mathrm{O}_{2} \longrightarrow \mathrm{NO}_{3}\)

Short answer

Question: Determine the rate expressions for the following elementary steps in chemical reactions: 1. \(\mathrm{NO}_3 + \mathrm{CO} \longrightarrow \mathrm{NO}_2 + \mathrm{CO}_2\) 2. \(\mathrm{I}_2 \longrightarrow 2\mathrm{I}\) 3. \(\mathrm{NO} + \mathrm{O}_2 \longrightarrow \mathrm{NO}_3\) Answer: 1. Rate = k[\(\mathrm{NO_3}\)][\(\mathrm{CO}\)] 2. Rate = k[\(\mathrm{I_2}\)] 3. Rate = k[\(\mathrm{NO}\)][\(\mathrm{O}_2\)]

Step-by-step solution

Find the rate expression for the first elementary step.

For the first elementary step, the balanced chemical equation is given as \(\mathrm{NO}_3 + \mathrm{CO} \longrightarrow \mathrm{NO}_2 + \mathrm{CO}_2\). To obtain the rate expression, we will write the concentrations of the reactants raised to their orders (stoichiometric coefficients). The rate of reaction can be given as rate = k[\(\mathrm{NO_3}\)][\(\mathrm{CO}\)], where k is the rate constant for this reaction.

Find the rate expression for the second elementary step.

The balanced chemical equation for the second elementary step is \(\mathrm{I}_2 \longrightarrow 2\mathrm{I}\). Similar to the first step, the rate of the reaction is proportional to the concentration of the reactant raised to its stoichiometric coefficient. The rate of reaction can be given by rate = k[\(\mathrm{I_2}\)], where k is the rate constant for this reaction.

Find the rate expression for the third elementary step.

For the third elementary step, the balanced chemical equation is given as \(\mathrm{NO} + \mathrm{O}_2 \longrightarrow \mathrm{NO}_3\). To find the rate expression, we write the concentrations of the reactants raised to their orders (stoichiometric coefficients). The rate of reaction can be given as rate = k[\(\mathrm{NO}\)][\(\mathrm{O}_2\)], where k is the rate constant for this reaction.