Initial rate data at 25 °C are listed in the table for the reaction NH4 +1aq2 + NO2 -1aq2S N21g2 + 2 H2O1l2 (b) What is the value of the rate constant?

The rate law expresses the relationship between the rate of a chemical reaction and the concentration of its reactants. It is typically formulated as rate = k[A]^m[B]^n, where k is the rate constant, [A] and [B] are the concentrations of the reactants, and m and n are the reaction orders with respect to each reactant. Understanding the rate law is essential for determining how changes in concentration affect the reaction rate.

The order of a reaction refers to the exponent to which the concentration of a reactant is raised in the rate law. It indicates how sensitive the reaction rate is to changes in that reactant's concentration. For example, if a reaction is first order with respect to a reactant, doubling its concentration will double the reaction rate. Determining the order of reaction is crucial for calculating the rate constant.

The rate constant (k) is a proportionality factor in the rate law that is specific to a particular reaction at a given temperature. It reflects the speed of the reaction and is influenced by factors such as temperature and the presence of catalysts. The value of k can be determined experimentally by analyzing the initial rates of reaction at varying concentrations of reactants, as shown in the provided data.