(a) If wastewater leaves the plant at ṁ1 the treatment unit (i.e., ṁ5) and to the waste lagoon (i.e., m6). (b) What are the mass fractions of Cr in streams ṁ2, ṁ3, m5 and m6? = 6000 kg/h, calculate the flow rates of liquid leaving

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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### Overview

A metal finishing plant is managing a wastewater stream containing 5.15 wt% of chromium (Cr). The system is designed to treat this wastewater in a downstream unit, which aims to remove 95% of the chromium. The treated water is sent back to the plant, while the residual liquid is sent to a waste lagoon. The treatment unit can handle at most 4500 kg of wastewater per hour. If the wastewater exceeds this limit, the excess bypasses the unit and joins the residual liquid going to the lagoon.

### Diagram Explanation

The schematic shows a process involving several streams of wastewater:

- **Stream \( \dot{m}_1 \)**: Represents the incoming wastewater from the plant, containing 0.0515 kg Cr/kg.
- **Stream \( \dot{m}_2 \)**: The portion of wastewater that enters the treatment unit, which cannot exceed 4500 kg/h.
- **Stream \( \dot{m}_3 \)**: The excess wastewater that bypasses the treatment unit.
- **Stream \( \dot{m}_4 \)**: The chromium extracted from the wastewater by the treatment unit, containing 95% of Cr from the feed, with no water.
- **Stream \( \dot{m}_5 \)**: The treated wastewater leaving the treatment unit.
- **Stream \( \dot{m}_6 \)**: The combination of bypassed and residual wastewater sent to the waste lagoon.

### Problem Statement

- **(a)** If the wastewater leaves the plant at \( \dot{m}_1 = 6000 \, \text{kg/h} \), calculate the flow rates of liquid in streams \( \dot{m}_5 \) and \( \dot{m}_6 \).
- **(b)** Determine the mass fractions of chromium in streams \( \dot{m}_2 \), \( \dot{m}_3 \), \( \dot{m}_5 \), and \( \dot{m}_6 \).
Transcribed Image Text:### Overview A metal finishing plant is managing a wastewater stream containing 5.15 wt% of chromium (Cr). The system is designed to treat this wastewater in a downstream unit, which aims to remove 95% of the chromium. The treated water is sent back to the plant, while the residual liquid is sent to a waste lagoon. The treatment unit can handle at most 4500 kg of wastewater per hour. If the wastewater exceeds this limit, the excess bypasses the unit and joins the residual liquid going to the lagoon. ### Diagram Explanation The schematic shows a process involving several streams of wastewater: - **Stream \( \dot{m}_1 \)**: Represents the incoming wastewater from the plant, containing 0.0515 kg Cr/kg. - **Stream \( \dot{m}_2 \)**: The portion of wastewater that enters the treatment unit, which cannot exceed 4500 kg/h. - **Stream \( \dot{m}_3 \)**: The excess wastewater that bypasses the treatment unit. - **Stream \( \dot{m}_4 \)**: The chromium extracted from the wastewater by the treatment unit, containing 95% of Cr from the feed, with no water. - **Stream \( \dot{m}_5 \)**: The treated wastewater leaving the treatment unit. - **Stream \( \dot{m}_6 \)**: The combination of bypassed and residual wastewater sent to the waste lagoon. ### Problem Statement - **(a)** If the wastewater leaves the plant at \( \dot{m}_1 = 6000 \, \text{kg/h} \), calculate the flow rates of liquid in streams \( \dot{m}_5 \) and \( \dot{m}_6 \). - **(b)** Determine the mass fractions of chromium in streams \( \dot{m}_2 \), \( \dot{m}_3 \), \( \dot{m}_5 \), and \( \dot{m}_6 \).
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