The following data relate to the reaction A+B →C. Find the order with respect to each reactant.

step 1 To answer this question, we simply need to determine what happens when we change the concentrati

The following data relate to the reaction A+B →C. Find the...

The following data relate to the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ C. Find the order with respect to each reactant. $$\begin{array}{|c|c|c|}\hline[A](M) & {[B](M)} & {\text { Rate }(M / s)} \\ \hline 0.08 & {0.06} & {0.012} \\ \hline 0.08 & {0.03} & {0.006} \\ \hline 0.04 & {0.06} & {0.003} \\ \hline\end{array}$$

The following data relate to the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ C. Find the order with respect to each reactant.
$$\begin{array}{|c|c|c|}\hline[A](M) & {[B](M)} & {\text { Rate }(M / s)} \\ \hline 0.08 & {0.06} & {0.012} \\ \hline 0.08 & {0.03} & {0.006} \\ \hline 0.04 & {0.06} & {0.003} \\ \hline\end{array}$$

Key Concepts

Rate Law

The rate law is an equation that relates the rate of a chemical reaction to the concentrations or pressures of the reactants. It typically takes the form Rate = k[A]^m[B]^n for a reaction involving reactants A and B, where k is the rate constant and m and n are the orders of the reaction with respect to A and B, respectively.

Reaction Order

The reaction order for a given reactant indicates how the rate of reaction is affected by changes in the concentration of that reactant. An order of m means that if the concentration of that reactant is changed by a factor, the reaction rate changes by the same factor raised to the power m. The overall reaction order is the sum of the individual orders of all reactants in the rate law.

Method of Initial Rates

The method of initial rates is an experimental technique used to determine the reaction order with respect to each reactant by comparing the reaction rate at the very beginning of the reaction for different initial concentrations. By systematically varying one reactant concentration while keeping others constant, one can deduce the exponent in the rate law for that reactant based on how the rate changes.

Comparative Data Analysis

Comparative data analysis involves examining sets of experimental data where the concentration of one reactant is changed while others are held constant. By comparing the observed changes in the reaction rate with the corresponding changes in reactant concentration, it is possible to mathematically determine the order of the reaction with respect to each reactant.

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