The reaction 2 NO₂ → 2 NO + O₂ has the rate constant k = 0.63 M^-1s^-1. (a) Based on the units for k, is the reaction first or second order in NO₂?

검증된 단계별 안내

Step 1: Understand the relationship between the rate constant units and the order of the reaction. For a reaction of the form A → products, the rate law is typically expressed as rate = k[A]^n, where n is the order of the reaction.

Step 2: Recall that the units of the rate constant k depend on the order of the reaction. For a first-order reaction, the units of k are s^-1. For a second-order reaction, the units of k are M^-1s^-1.

Step 3: Examine the given units for the rate constant k, which are M^-1s^-1. These units are characteristic of a second-order reaction.

Step 4: Conclude that the reaction 2 NO2 → 2 NO + O2 is second order with respect to NO2 based on the units of the rate constant k.

Step 5: Understand that the order of the reaction provides insight into how the concentration of reactants affects the rate of the reaction. In this case, the rate is proportional to the square of the concentration of NO2.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Order of Reaction

The order of a reaction refers to the power to which the concentration of a reactant is raised in the rate law. It indicates how the rate of reaction depends on the concentration of reactants. For example, a first-order reaction depends linearly on the concentration of one reactant, while a second-order reaction depends on the square of the concentration of one reactant or the product of the concentrations of two reactants.

Rate Constant (k)

The rate constant (k) is a proportionality factor in the rate equation that relates the rate of a reaction to the concentrations of the reactants. Its units vary depending on the order of the reaction; for a second-order reaction, the units are typically M-1s-1. Understanding the units of k helps determine the order of the reaction and how concentration changes affect the reaction rate.

Units of Rate Constants

The units of the rate constant provide insight into the reaction order. For zero-order reactions, k has units of M/s; for first-order reactions, k has units of s-1; and for second-order reactions, k has units of M-1s-1. By analyzing the units of k, one can deduce the order of the reaction, which is crucial for understanding the kinetics of the reaction.

The reaction 2 NO2 → 2 NO + O2 has the rate constant k = 0.63 M-1s-1. (a) Based on the units for k, is the reaction first or second order in NO2?