2.43. WP 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: Сло Сде 1(min) 1(min) 36 65 100 160 CA(g/liter) 0.1823 0.1453 0.1216 0.1025 0.0795 0.0495 Сдо Све A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe In -kt САО — Сде A0 where k is the reaction rate constant. a. Do the data support this prediction? If so, plot the data appropriately to determine the value of k. b. If the tank volume is 125 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after two hours? c. Estimate the time required for the final concentration of A to reach 1.1, 1.05, and 1.01 times CAe, and determine the mass of B produced at each of these conditions for the reactor described in Part (b). 2.44. The climactic moment in the film "The Eggplant That Ate New Jersey" comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: V (ft') = 3.53 x 10-2 exp(2t²) where t is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist. a. What are the units of 3.53 × 10-2 and 2? b. The scientist obtained the formula by measuring V versus t and determining the coefficients by linear regression. What would he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot? c. The European distributor of the film insists that the formula be given for the volume in m3 as a function of t(s). Derive the formula. Answer CA (g/liter)

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

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The problem that is listed below need to be solved and you may access that problem via viewing them through the attached images in this request. **Question Number #2.44**

2.43. WP 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:
Сло
Сде
1(min)
1(min)
36
65
100
160
CA(g/liter)
0.1823 0.1453 0.1216 0.1025 0.0795 0.0495
Сдо
Све
A proposed reaction mechanism predicts that CA and t should be related by the expression
CA - CAe
In
-kt
САО — Сде
A0
where k is the reaction rate constant.
a. Do the data support this prediction? If so, plot the data appropriately to determine the value of k.
b. If the tank volume is 125 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after two hours?
c. Estimate the time required for the final concentration of A to reach 1.1, 1.05, and 1.01 times CAe, and determine the mass of B
produced at each of these conditions for the reactor described in Part (b).
2.44. The climactic moment in the film "The Eggplant That Ate New Jersey" comes when the brilliant young scientist announces
his discovery of the equation for the volume of the eggplant:
V (ft') = 3.53 x 10-2 exp(2t²)
where t is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the
beautiful dental hygienist.
a. What are the units of 3.53 × 10-2 and 2?
b. The scientist obtained the formula by measuring V versus t and determining the coefficients by linear regression. What would
he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot?
c. The European distributor of the film insists that the formula be given for the volume in m3 as a function of t(s). Derive the
formula.
Answer
CA (g/liter)

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