From the following data for the reaction between A and B,Calculate the rate equation: (a) r=k[ B

step 1 Dear students, in the given problem, problem 86 of chapter 4, we have asked that from the data t

From the following data for the reaction between A and...

From the following data for the reaction between $\mathrm{A}$ and $\mathrm{B}$,Calculate the rate equation:
(a) $\mathrm{r}=k[\mathrm{~B}]^{1}$
(b) $\mathrm{r}=k[\mathrm{~A}]^{2}$
(c) $\mathrm{r}=k[\mathrm{~A}]^{2}[\mathrm{~B}]^{1}$
(d) $\mathrm{r}=\mathrm{A}[\mathrm{A}][\mathrm{B}]$

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Key Concepts

Rate Law

The rate law is a mathematical expression that relates the rate of a chemical reaction to the concentrations of its reactants. It generally takes the form r = k[A]^m[B]^n, where k is the rate constant and the exponents m and n indicate the reaction order with respect to each reactant.

Reaction Order

Reaction order refers to the exponent in the rate law that indicates how the rate depends on the concentration of a reactant. The overall reaction order is the sum of the individual orders for each reactant, and understanding it helps in inferring details about the reaction mechanism.

Experimental Determination of Rates

Experimental techniques, such as the method of initial rates, are used to determine the rate equation for a reaction. By measuring how changes in reactant concentrations affect the rate, one can deduce the exponents in the rate law and thus the reaction orders.

Rate Constant

The rate constant, denoted as k, is a proportionality factor in the rate law that encompasses factors like collision frequency and activation energy. Its value is determined experimentally and varies with temperature.

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