A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction. CA (g/liter) CAO CAE time (min) Ca (g/L) 0.2823 7(min) 36.0 0.18390 65.0 In 0.13550 100.0 0.09980 = = - kt 160.0 A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe Cao – CAe. - 0.06980 0.0495 where k is the reaction rate constant. a) Plot the data appropriately to determine the value of k. Report the Value of k b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after 2.00 hours? c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.) Report t₁, t2, and t3, and the mass of B produced at each time.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the
concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction.
CA (g/liter)
CAO
CAE
time
(min)
Ca
(g/L)
0.2823
7(min)
36.0
0.18390
65.0
In
0.13550
100.0
0.09980
=
= - kt
160.0
A proposed reaction mechanism predicts that CA and t should be related by the expression
CA - CAe
CAO CAe.
0.06980
0.0495
where k is the reaction rate constant.
a) Plot the data appropriately to determine the value of k. Report the Value of k
b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank
contain after 2.00 hours?
c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae
at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.)
Report t₁, t2, and t3, and the mass of B produced at each time.
Transcribed Image Text:A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction. CA (g/liter) CAO CAE time (min) Ca (g/L) 0.2823 7(min) 36.0 0.18390 65.0 In 0.13550 100.0 0.09980 = = - kt 160.0 A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe CAO CAe. 0.06980 0.0495 where k is the reaction rate constant. a) Plot the data appropriately to determine the value of k. Report the Value of k b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after 2.00 hours? c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.) Report t₁, t2, and t3, and the mass of B produced at each time.
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