Skip to main content
Ch.14 - Chemical Kinetics
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoTro 4th EditionCh.14 - Chemical KineticsProblema 53c
Capitolo 14, Problema 53c

This reaction was monitored as a function of time: A → B + C A plot of ln[A] versus time yields a straight line with slope -0.0045/s. c. What is the half-life?

Guida verificata passo dopo passo
1
Identify that the reaction is first-order because a plot of \( \ln[A] \) versus time yields a straight line.
Recall the formula for the half-life of a first-order reaction: \( t_{1/2} = \frac{0.693}{k} \), where \( k \) is the rate constant.
Recognize that the slope of the line in a plot of \( \ln[A] \) versus time for a first-order reaction is equal to \(-k\).
Given that the slope is \(-0.0045/s\), determine that \( k = 0.0045/s \).
Substitute \( k = 0.0045/s \) into the half-life formula \( t_{1/2} = \frac{0.693}{0.0045/s} \) to find the half-life.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
5m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

First-Order Reactions

In chemistry, a first-order reaction is one where the rate of reaction is directly proportional to the concentration of one reactant. This means that as the concentration of the reactant decreases, the rate of the reaction also decreases. The relationship can be expressed mathematically, and for first-order reactions, the natural logarithm of the concentration of the reactant versus time yields a straight line.
Video consigliato:
Percorso guidato
02:29
First-Order Reactions

Half-Life

The half-life of a reaction is the time required for the concentration of a reactant to decrease to half of its initial value. For first-order reactions, the half-life is constant and does not depend on the initial concentration. It can be calculated using the formula t1/2 = 0.693/k, where k is the rate constant derived from the slope of the ln[A] versus time plot.
Video consigliato:
Percorso guidato
02:17
Zero-Order Half-life

Rate Constant (k)

The rate constant (k) is a proportionality factor in the rate equation that relates the rate of a reaction to the concentration of reactants. For first-order reactions, k can be determined from the slope of the ln[A] versus time plot, which is negative. In this case, the slope is -0.0045/s, indicating the rate at which the concentration of A decreases over time.
Video consigliato:
Percorso guidato
01:14
Equilibrium Constant K
Pratica correlata
Domanda del libro di testo

The reaction A¡products was monitored as a function of time. The results are shown here. Time (s) [A] (M) 0 1.000 25 0.914 50 0.829 75 0.744 100 0.659 125 0.573 150 0.488 175 0.403 200 0.318 Determine the order of the reaction and the value of the rate constant. What is the rate of reaction when [A] = 0.10 M?

835
views
Domanda del libro di testo

This reaction was monitored as a function of time: A → B + C A plot of ln[A] versus time yields a straight line with slope -0.0045/s. b. Write the rate law for the reaction.

Domanda del libro di testo

This reaction was monitored as a function of time: AB → A + B A plot of 1/[AB] versus time yields a straight line with a slope of +0.55/Ms.

a. What is the value of the rate constant (k) for this reaction at this temperature?

1
views
Domanda del libro di testo

This reaction was monitored as a function of time: A → B + C A plot of ln[A] versus time yields a straight line with slope -0.0045/s. a. What is the value of the rate constant (k) for this reaction at this temperature?

2252
views
2
rank
Domanda del libro di testo

This reaction was monitored as a function of time: A → B + C A plot of ln[A] versus time yields a straight line with slope -0.0045/s. d. If the initial concentration of A is 0.250 M, what is the concentration after 225 s?

Domanda del libro di testo

This reaction was monitored as a function of time: AB → A + B A plot of 1/[AB] versus time yields a straight line with a slope of +0.55/Ms. b. Write the rate law for the reaction.

2203
views