Acetaldehyde decomposes at 750 K : CH3 CHO →CO+CH4 . The reaction is first order in acetaldehyd

Name: Problem 57, Chapter 7: Physical Chemistry for IIT JEE
Uploaded: 2022-02-20T22:27:11-08:00
Duration: 1 min 12 s
Channel: Ramesh Singh
Description: Acetaldehyde decomposes at 750 K : CH3 CHO →CO+CH4 . The reaction is first order in acetaldehyde and the half life of the reaction is found to be 530 seconds. What is the rate constant for the reaction at this temperature? a. 3.7 ×10^-3 s^-1 b. 3.13 ×10^3 s^-1 c. 1.3 ×10^-3 s^-1 d. 2.3 ×10^-3 s^-1

step 1 Hello everyone. Our question is Acetyldehyde decomposition is given to you at 750 Kelvin tempera

Acetaldehyde decomposes at 750 K : CH3 CHO →CO+CH4 . The...

Acetaldehyde decomposes at $750 \mathrm{~K}$ : $\mathrm{CH}_{3} \mathrm{CHO} \rightarrow \mathrm{CO}+\mathrm{CH}_{4} .$ The reaction is first order in acetaldehyde and the half life of the reaction is found to be 530 seconds. What is the rate constant for the reaction at this temperature? a. $3.7 \times 10^{-3} \mathrm{~s}^{-1}$ b. $3.13 \times 10^{3} \mathrm{~s}^{-1}$ c. $1.3 \times 10^{-3} \mathrm{~s}^{-1}$ d. $2.3 \times 10^{-3} \mathrm{~s}^{-1}$

Acetaldehyde decomposes at $750 \mathrm{~K}$ :
$\mathrm{CH}_{3} \mathrm{CHO} \rightarrow \mathrm{CO}+\mathrm{CH}_{4} .$ The reaction is first order
in acetaldehyde and the half life of the reaction is found to be 530 seconds. What is the rate constant for the reaction at this temperature?
a. $3.7 \times 10^{-3} \mathrm{~s}^{-1}$
b. $3.13 \times 10^{3} \mathrm{~s}^{-1}$
c. $1.3 \times 10^{-3} \mathrm{~s}^{-1}$
d. $2.3 \times 10^{-3} \mathrm{~s}^{-1}$

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Key Concepts

First Order Reaction

A first order reaction is one where the rate of reaction is directly proportional to the concentration of one reactant. This means that the rate equation takes the form d[A]/dt = -k[A], where [A] is the concentration of the reactant and k is the rate constant. This type of reaction exhibits a constant half-life that is independent of the initial concentration.

Half-Life

The half-life of a reaction is the time required for the concentration of a reactant to decrease to half of its original value. In a first order reaction, the half-life is given by the formula t1/2 = ln(2)/k, making it a useful parameter for calculating the rate constant when the half-life is known.

Rate Constant

The rate constant is a crucial parameter in reaction kinetics that quantifies the speed at which a reaction proceeds. For first order reactions, the rate constant is directly related to the half-life of the reaction by the equation k = ln(2)/t1/2. It is dependent on factors like temperature and activation energy, as described by the Arrhenius equation.

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