The tabulated data show the concentration of AB versus time for this reaction: AB( g)¡A( g) + B( g) Time (s) [AB] (M) 0 0.950 50 0.459 100 0.302 150 0.225 200 0.180 250 0.149 300 0.128 350 0.112 400 0.0994 450 0.0894 500 0.0812 Determine the order of the reaction and the value of the rate constant. Predict the concentration of AB at 25 s.

검증된 단계별 안내

insert step 1: Determine the order of the reaction by analyzing the concentration data. Start by plotting the concentration of AB versus time to see if it fits a zero-order reaction, where the plot would be a straight line.

insert step 2: If the plot is not linear, plot the natural logarithm of the concentration of AB versus time to check for a first-order reaction. A linear plot here indicates a first-order reaction.

insert step 3: If the first-order plot is not linear, plot the inverse of the concentration of AB versus time to check for a second-order reaction. A linear plot here indicates a second-order reaction.

insert step 4: Once the order of the reaction is determined, use the appropriate rate law to calculate the rate constant (k). For a first-order reaction, use the formula ln([AB]_0/[AB]) = kt, and for a second-order reaction, use 1/[AB] = kt + 1/[AB]_0.

insert step 5: Use the determined rate law and rate constant to predict the concentration of AB at 25 seconds. For a first-order reaction, use [AB] = [AB]_0 * e^(-kt), and for a second-order reaction, use 1/[AB] = kt + 1/[AB]_0.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

도움이 되었나요?

주요 개념

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

Reaction Order

The order of a reaction refers to the power to which the concentration of a reactant is raised in the rate law. It provides insight into how the rate of reaction depends on the concentration of reactants. For example, a first-order reaction has a linear relationship between the concentration of the reactant and the rate, while a second-order reaction has a quadratic relationship. Determining the order is essential for understanding the kinetics of the reaction.

Rate Constant (k)

The rate constant (k) is a proportionality factor in the rate law that relates the rate of a reaction to the concentrations of the reactants. Its value is influenced by temperature and the nature of the reaction. For a given reaction order, the rate constant can be determined using experimental data, and it is crucial for predicting how the concentration of reactants changes over time.

Integrated Rate Laws

Integrated rate laws are mathematical expressions that relate the concentration of reactants to time, allowing for the prediction of concentration at any given time. Different orders of reactions have distinct integrated rate laws, which can be used to analyze experimental data. For example, for a first-order reaction, the natural logarithm of the concentration is linearly related to time, while for a second-order reaction, the inverse of the concentration is linearly related to time.