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The air streams leaving painting booths usually contain solvent vapors that must be re- moved, both for environmental and economic reasons. A condenser can be used to remove a stream of liquid heptane from a paint-booth efluent. The incoming stream is 30% heptane, at 1 atm and 60°C, and flows at 2.5 kgmol/min. You are to cool the vapor stream to 20°C, where the heptane saturation vapor pressure is 0.05 atm and most of the heptane will leave the cooler as saturated liquid at that same temperature. The condenser uses water provided at 15°C for cooling. (a) What percentage of the heptane is recovered in the liquid stream? (b) What is the total heat removal required? (c) If the exit water temperature is to be 45°C, what water flow rate do you recommend?

The air streams leaving painting booths usually contain solvent vapors that must be re- moved, both for environmental and economic reasons. A condenser can be used to remove a stream of liquid heptane from a paint-booth efluent. The incoming stream is 30% heptane, at 1 atm and 60°C, and flows at 2.5 kgmol/min. You are to cool the vapor stream to 20°C, where the heptane saturation vapor pressure is 0.05 atm and most of the heptane will leave the cooler as saturated liquid at that same temperature. The condenser uses water provided at 15°C for cooling. (a) What percentage of the heptane is recovered in the liquid stream? (b) What is the total heat removal required? (c) If the exit water temperature is to be 45°C, what water flow rate do you recommend?

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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**Problem 1** The air streams leaving painting booths usually contain solvent vapors that must be removed, both for environmental and economic reasons. A condenser can be used to remove a stream of liquid heptane from a paint-booth effluent. The incoming stream is 30% heptane, at 1 atm and 60°C, and flows at 2.5 kgmol/min. You are to cool the vapor stream to 20°C, where the heptane saturation vapor pressure is 0.05 atm and most of the heptane will leave the cooler as saturated liquid at that same temperature. The condenser uses water provided at 15°C for cooling. **(a)** What percentage of the heptane is recovered in the liquid stream? **(b)** What is the total heat removal required? **(c)** If the exit water temperature is to be 45°C, what water flow rate do you recommend? **Average Property Data** Air: use an average \(C_p = 29.3 \, \text{J/mole}\) Heptane: \(\Delta H_{\text{vap}} (P = 1 \, \text{bar}, T_{\text{bp}} = 98.4°C) = 31.69 \, \text{kJ/mole}\) Heat capacity of liquid heptane: \(C_{\text{p}}^{\text{liq}} = 242 \, \text{J/mol °C}\) Heat capacity of vapor heptane: \(C_{\text{p}}^{\text{vap}} = 158 + 0.417T \, \text{J/mol °C}\)
Transcribed Image Text:**Problem 1** The air streams leaving painting booths usually contain solvent vapors that must be removed, both for environmental and economic reasons. A condenser can be used to remove a stream of liquid heptane from a paint-booth effluent. The incoming stream is 30% heptane, at 1 atm and 60°C, and flows at 2.5 kgmol/min. You are to cool the vapor stream to 20°C, where the heptane saturation vapor pressure is 0.05 atm and most of the heptane will leave the cooler as saturated liquid at that same temperature. The condenser uses water provided at 15°C for cooling. **(a)** What percentage of the heptane is recovered in the liquid stream? **(b)** What is the total heat removal required? **(c)** If the exit water temperature is to be 45°C, what water flow rate do you recommend? **Average Property Data** Air: use an average \(C_p = 29.3 \, \text{J/mole}\) Heptane: \(\Delta H_{\text{vap}} (P = 1 \, \text{bar}, T_{\text{bp}} = 98.4°C) = 31.69 \, \text{kJ/mole}\) Heat capacity of liquid heptane: \(C_{\text{p}}^{\text{liq}} = 242 \, \text{J/mol °C}\) Heat capacity of vapor heptane: \(C_{\text{p}}^{\text{vap}} = 158 + 0.417T \, \text{J/mol °C}\)
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