A 100 lbmol/h gas stream consisting of 35 mol% ammonia (NH3) and air is scrubbed with water to make a 5 mol% liquid product stream The temperature of the absorber is 80 °F, and the pressure is 14.7 psia (1 atm). The diagram below shows the unit operation which is a single equilibrium stage. Perform a DOF to show that the system is solvable, and calculate the flow rates and compositions of all streams. Equilibrium data is provided in the Table below. Vapor pressure NH3 (5 mol% in water, T = 80 °F) Vapor pressure water (T = 80 °F) 37.2 mmHg 26.2 mmHg vapor outlet H20steam Vapor? (3) water-2- Variables Stream system Constraints Flow Composition Performance Material Balances 3 Total A T 80 °F P= 14.7 psia Absorber Total 100 Ibmol/h o=0.35 cir liquid outlet XNg=0.05 Liquid

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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**Text Transcription:**

A 100 lbmol/h gas stream consisting of 35 mol% ammonia (NH₃) and air is scrubbed with water to make a 5 mol% liquid product stream. The temperature of the absorber is 80 °F, and the pressure is 14.7 psia (1 atm). The diagram below shows the unit operation which is a single equilibrium stage. Perform a DOF to show that the system is solvable, and calculate the flow rates and compositions of all streams. Equilibrium data is provided in the table below.

| Vapor pressure NH₃ (5 mol% in water, T = 80 °F) | 37.2 mmHg  |
|--------------------------------------------------|------------|
| Vapor pressure water (T = 80 °F)                 | 26.2 mmHg  |

**Diagram Explanation:**

- **Absorber Diagram:**
  - **1:** Inlet marked "Air, NH₃".
  - **2:** Water entering the absorber.
  - **3:** Vapor outlet, labeled with "H₂O steam/vapor?".
  - **4:** Liquid outlet marked "NH₃ > liquid, H₂O".

- **Operating Conditions:**
  - Temperature: 80 °F
  - Pressure: 14.7 psia
  - Inlet flow rate: N₁ = 100 lbmol/h, y_NH₃ = 0.35
  - Outlet composition: x_NH₃ = 0.05

**DOF (Degrees of Freedom) Analysis Table:**

| Variables              | Constraints            |
|------------------------|------------------------|
| Stream                 | Flow (1)               |
| System                 | Composition (1)        |
|                        | Performance            |
|                        | Material Balances (3)  |
| **Total**              | **Total (6)**          |

- **Notes:**
  - System includes ABSORBER with H₂O, NH₃, air.
  - Total flow constraint: 100 lbmol/hour.

This information is essential for understanding the absorption process and solving for unknowns in the unit operation presented.
Transcribed Image Text:**Text Transcription:** A 100 lbmol/h gas stream consisting of 35 mol% ammonia (NH₃) and air is scrubbed with water to make a 5 mol% liquid product stream. The temperature of the absorber is 80 °F, and the pressure is 14.7 psia (1 atm). The diagram below shows the unit operation which is a single equilibrium stage. Perform a DOF to show that the system is solvable, and calculate the flow rates and compositions of all streams. Equilibrium data is provided in the table below. | Vapor pressure NH₃ (5 mol% in water, T = 80 °F) | 37.2 mmHg | |--------------------------------------------------|------------| | Vapor pressure water (T = 80 °F) | 26.2 mmHg | **Diagram Explanation:** - **Absorber Diagram:** - **1:** Inlet marked "Air, NH₃". - **2:** Water entering the absorber. - **3:** Vapor outlet, labeled with "H₂O steam/vapor?". - **4:** Liquid outlet marked "NH₃ > liquid, H₂O". - **Operating Conditions:** - Temperature: 80 °F - Pressure: 14.7 psia - Inlet flow rate: N₁ = 100 lbmol/h, y_NH₃ = 0.35 - Outlet composition: x_NH₃ = 0.05 **DOF (Degrees of Freedom) Analysis Table:** | Variables | Constraints | |------------------------|------------------------| | Stream | Flow (1) | | System | Composition (1) | | | Performance | | | Material Balances (3) | | **Total** | **Total (6)** | - **Notes:** - System includes ABSORBER with H₂O, NH₃, air. - Total flow constraint: 100 lbmol/hour. This information is essential for understanding the absorption process and solving for unknowns in the unit operation presented.
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