Q. 54.0( 1 Vote )

# Consider a first order gas phase decomposition reaction given below :A(g) → B(g) + C(g)The initial pressure of the system before decomposition of A was pi. After lapse of time ‘t’, total pressure of the system increased by x units and became ‘pt’ The rate constant k for the reaction is given as _________.A. B. C. D.

Answer :

Given,

For first-order reaction for a gaseous reaction at a constant temperature the concentration is replaced by the partial pressure of reactants and products.

Where pa is the partial pressure of element A.

pi is the initial pressure of element A.

Let pt be the total pressure , pt =pa + pb + pc

Where, pa ,pb ,pc are partial pressure of A,B,C respectively

At t=0 pa=pi , pb =0, pc =0

At t=t pa=pi-x, pb=x , pc=x ,so pt= pi-x + x +x pt=pi + x ………(pt=pa+pb+pc)

Know at t=t , pt = pi+x x=pt-pi

At t =t , pa=pi-(pt-pi) pa=2pi-pt

Putting these values in Equation 1 we get,

K=

Thus Option (ii) is correct.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on Integrated Rate equation58 mins
Interactive quiz on arrhenius equation53 mins
Arrhenius equation & Collision Theory59 mins
Integrated Rate Equation52 mins
Questions based on Chemical Reaction57 mins
Factors influencing Rate of Chemical Reaction45 mins
Questions Based on Factors influencing Rate of Chemical Reaction41 mins
Learn Rate of a Chemical Reaction65 mins
15 Concept Builder Questions of Chemical Bonding - Reminding 11th46 mins
Full Chapter Quiz | Solid State | Check your learning43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses