8.68. A mixture that contains 46 wt% acetone (CH;COCH3), 27% acetic acid (CH;COOH), and 27% acetic anhydride [(CH;CO),0] is distilled at P = 1 atm. The feed enters the distillation column at T = 348 K at a rate of 15,000 kg/h. The distillate (overhead product) is essentially pure acetone, and the bottoms product contains 1% of the acetone in the feed. The vapor effluent from the top of the column enters a condenser at 329 K and emerges as a liquid at 303 K. Half of the condensate is withdrawn as the overhead product, and the remainder is refluxed back to the column. The liquid leaving the bottom of the column goes into a steam-heated reboiler, in which it is partially vaporized. The vapor leaving the reboiler is retumed to the column at a temperature of 398 K, and the residual liquid, also at 398 K, constitutes the bottoms product. A flowchart of the process and thermodynamic data for the process materials follow. (a) Calculate the mass flow rates and compositions of the product streams. (b) Calculate the condenser cooling requirement 0.(kJ/h). (c) Use an overall energy balance to determine the reboiler heating requirement 0,(kJ/h). (d) If the reboiler heat is provided by the condensation of saturated steam at 10 bar gauge, at what rate must steam be fed? er Column overhead Acctone (v), 329 K CONDENSER Distillate product Acetone (1), 303 K Feed 15,000 kg/h DISTILLATION COLUMN 46 wt% acetone (1) 27 wt% acetic acid () 27 wt% acetic anhydride (1) 348 K Vapor: 3.2 molek acetone, 73.8% acetic acid, 23.0% acetic anhydride 398 K REBOILER Bottoms product (1) 1% of acetone in feed + acetic acid + acetic anhydride 398 K Thermodynamic Data (All temperatures are in kelvins) Acetone: C = 2.30 kJ/(kg- K) Cpv[kJ/(kg-K)] = 0.459 + 3.15 x 10-°T – 0.790 × 10-67² AĤ,(329 K) = 520.6 kJ/kg on Nonreactive Processes Acetic acid: Cpi = 2.18 kJ/(kg -K) C„[kJ/(kg·K)] = 0.688 + 1.87 x 10-T – 0.411x 10“T² AĤ,(391 K) = 406.5 kJ/kg Acetic anhydride: Cp[kJ/(kg•K)] = ? (Estimate it-see Section 8.3c.) Cpv [kJ/(kg-K)] = 0.751 + 1.34 x 10-³T – 0.046 x 10-“72 AĤ(413 K) = ? (Estimate it-see Section 8.4b.) lam

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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8.68. A mixture that contains 46 wt% acetone (CH;COCH3), 27% acetic acid (CH;COOH), and 27% acetic
anhydride [(CH;CO),0] is distilled at P = 1 atm. The feed enters the distillation column at T = 348 K
at a rate of 15,000 kg/h. The distillate (overhead product) is essentially pure acetone, and the bottoms
product contains 1% of the acetone in the feed.
The vapor effluent from the top of the column enters a condenser at 329 K and emerges as a
liquid at 303 K. Half of the condensate is withdrawn as the overhead product, and the remainder is
refluxed back to the column. The liquid leaving the bottom of the column goes into a steam-heated
reboiler, in which it is partially vaporized. The vapor leaving the reboiler is retumed to the column at a
temperature of 398 K, and the residual liquid, also at 398 K, constitutes the bottoms product. A
flowchart of the process and thermodynamic data for the process materials follow.
(a) Calculate the mass flow rates and compositions of the product streams.
(b) Calculate the condenser cooling requirement 0.(kJ/h).
(c) Use an overall energy balance to determine the reboiler heating requirement 0,(kJ/h).
(d) If the reboiler heat is provided by the condensation of saturated steam at 10 bar gauge, at what rate
must steam be fed?
er
Column overhead
Acctone (v), 329 K
CONDENSER
Distillate product
Acetone (1), 303 K
Feed 15,000 kg/h
DISTILLATION
COLUMN
46 wt% acetone (1)
27 wt% acetic acid ()
27 wt% acetic anhydride (1)
348 K
Vapor: 3.2 molek acetone, 73.8% acetic acid,
23.0% acetic anhydride
398 K
REBOILER
Bottoms product (1)
1% of acetone in feed
+ acetic acid
+ acetic anhydride
398 K
Thermodynamic Data (All temperatures are in kelvins)
Acetone: C = 2.30 kJ/(kg- K)
Cpv[kJ/(kg-K)] = 0.459 + 3.15 x 10-°T – 0.790 × 10-67²
AĤ,(329 K) = 520.6 kJ/kg
on Nonreactive Processes
Acetic acid: Cpi = 2.18 kJ/(kg -K)
C„[kJ/(kg·K)] = 0.688 + 1.87 x 10-T – 0.411x 10“T²
AĤ,(391 K) = 406.5 kJ/kg
Acetic anhydride: Cp[kJ/(kg•K)] = ? (Estimate it-see Section 8.3c.)
Cpv [kJ/(kg-K)] = 0.751 + 1.34 x 10-³T – 0.046 x 10-“72
AĤ(413 K) = ? (Estimate it-see Section 8.4b.)
lam
Transcribed Image Text:8.68. A mixture that contains 46 wt% acetone (CH;COCH3), 27% acetic acid (CH;COOH), and 27% acetic anhydride [(CH;CO),0] is distilled at P = 1 atm. The feed enters the distillation column at T = 348 K at a rate of 15,000 kg/h. The distillate (overhead product) is essentially pure acetone, and the bottoms product contains 1% of the acetone in the feed. The vapor effluent from the top of the column enters a condenser at 329 K and emerges as a liquid at 303 K. Half of the condensate is withdrawn as the overhead product, and the remainder is refluxed back to the column. The liquid leaving the bottom of the column goes into a steam-heated reboiler, in which it is partially vaporized. The vapor leaving the reboiler is retumed to the column at a temperature of 398 K, and the residual liquid, also at 398 K, constitutes the bottoms product. A flowchart of the process and thermodynamic data for the process materials follow. (a) Calculate the mass flow rates and compositions of the product streams. (b) Calculate the condenser cooling requirement 0.(kJ/h). (c) Use an overall energy balance to determine the reboiler heating requirement 0,(kJ/h). (d) If the reboiler heat is provided by the condensation of saturated steam at 10 bar gauge, at what rate must steam be fed? er Column overhead Acctone (v), 329 K CONDENSER Distillate product Acetone (1), 303 K Feed 15,000 kg/h DISTILLATION COLUMN 46 wt% acetone (1) 27 wt% acetic acid () 27 wt% acetic anhydride (1) 348 K Vapor: 3.2 molek acetone, 73.8% acetic acid, 23.0% acetic anhydride 398 K REBOILER Bottoms product (1) 1% of acetone in feed + acetic acid + acetic anhydride 398 K Thermodynamic Data (All temperatures are in kelvins) Acetone: C = 2.30 kJ/(kg- K) Cpv[kJ/(kg-K)] = 0.459 + 3.15 x 10-°T – 0.790 × 10-67² AĤ,(329 K) = 520.6 kJ/kg on Nonreactive Processes Acetic acid: Cpi = 2.18 kJ/(kg -K) C„[kJ/(kg·K)] = 0.688 + 1.87 x 10-T – 0.411x 10“T² AĤ,(391 K) = 406.5 kJ/kg Acetic anhydride: Cp[kJ/(kg•K)] = ? (Estimate it-see Section 8.3c.) Cpv [kJ/(kg-K)] = 0.751 + 1.34 x 10-³T – 0.046 x 10-“72 AĤ(413 K) = ? (Estimate it-see Section 8.4b.) lam
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