For the reaction Q ⟶W+X, the following data were obtained at...

For the reaction $Q \longrightarrow W+X,$ the following data were obtained at $30^{\circ} \mathrm{C}$ :
(a) What is the order of the reaction with respect to $[Q]$, and what is the rate law?
(b) What is the rate constant?

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Key Concepts

Reaction Order

The reaction order indicates the power to which a reactant's concentration is raised in the rate law. It reflects how changes in the concentration of the reactant affect the rate of the reaction and is determined through experimental data by examining how the reaction rate varies with concentration.

Rate Law

A rate law describes the relationship between the reaction rate and the concentrations of the reactants, expressed as rate = k [Reactant]^n, where k is the rate constant and n is the reaction order with respect to that reactant. It is fundamental in characterizing the kinetics of a reaction.

Rate Constant

The rate constant (k) is a proportionality factor in the rate law that quantifies the speed of a reaction under given conditions. It is determined experimentally and is influenced by factors such as temperature, thereby providing a measure of how fast the reaction proceeds at a specific temperature.

Integrated Rate Laws

Integrated rate laws relate the concentrations of reactants to time, allowing the determination of reaction order by analyzing how concentration changes over time. For example, a plot of the natural logarithm of concentration versus time being linear indicates first-order kinetics, while other forms of plots correspond to second or zero-order reactions.

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