Freshly mined ore is to be cleaned so that later processing units are not contaminated with dirt. 3000 kg/h of dirty ore is dumped into a large washer, in which water is allowed to soak the ore on its way to a drain at the bottom of the unit. The solubility of dirt in water is estimated to be 0.4 g dirt/cm³ water (or 0.4 g dirt/g H₂O, assuming that the water leaving the washer is saturated with dirt). The amount of dirt remaining on the ore after this process is negligible, but water remains absorbed on the ore surface such that the net mass flow rate of the cleaned ore is 3100 kg/h. The dirty water is cleaned in a settler, which is able to remove 90% of the dirt in the stream without removing significant amount of water. The cleaned stream is then combined with a fresh water stream through a mixer before re-entering the washer. The wet, clean ore enters a dryer, in which all of the water is removed. Dry ore is removed from the dryer at 2900 kg/h. 1. Draw a complete diagram of the whole process. Label all streams properly. 2. Perform a degree-of-freedom analysis. 3. Determine the mass flow rate of fresh water to achieve the significant removal of dirt from the freshly mined ore. 4. Calculate the mass of dirty water entering the settler per minute of operation. 5. Calculate the mass fraction of dirt in the stream that enters the washer (after it has been mixed with the freshwater stream).

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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PROBLEM 2
Freshly mined ore is to be cleaned so that later processing units are not contaminated with dirt. 3000 kg/h of dirty ore is
dumped into a large washer, in which water is allowed to soak the ore on its way to a drain at the bottom of the unit. The
solubility of dirt in water is estimated to be 0.4 g dirt/cm3 water (or 0.4 g dirt/g H2O, assuming that the water leaving the
washer is saturated with dirt). The amount of dirt remaining on the ore after this process is negligible, but water remains
absorbed on the ore surface such that the net mass flow rate of the cleaned ore is 3100 kg/h. The dirty water is cleaned in a
settler, which is able to remove 90% of the dirt in the stream without removing significant amount of water. The cleaned
stream is then combined with a fresh water stream through a mixer before re-entering the washer. The wet, clean ore enters
a dryer, in which all of the water is removed. Dry ore is removed from the dryer at 2900 kg/h.
Draw a complete diagram of the whole process. Label all streams properly.
2. Perform a degree-of-freedom analysis.
3. Determine the mass flow rate of fresh water to achieve the significant removal of dirt from the freshly mined ore.
4. Calculate the mass of dirty water entering the settler per minute of operation.
5. Calculate the mass fraction of dirt in the stream that enters the washer (after it has been mixed with the freshwater
stream).
1.
Transcribed Image Text:PROBLEM 2 Freshly mined ore is to be cleaned so that later processing units are not contaminated with dirt. 3000 kg/h of dirty ore is dumped into a large washer, in which water is allowed to soak the ore on its way to a drain at the bottom of the unit. The solubility of dirt in water is estimated to be 0.4 g dirt/cm3 water (or 0.4 g dirt/g H2O, assuming that the water leaving the washer is saturated with dirt). The amount of dirt remaining on the ore after this process is negligible, but water remains absorbed on the ore surface such that the net mass flow rate of the cleaned ore is 3100 kg/h. The dirty water is cleaned in a settler, which is able to remove 90% of the dirt in the stream without removing significant amount of water. The cleaned stream is then combined with a fresh water stream through a mixer before re-entering the washer. The wet, clean ore enters a dryer, in which all of the water is removed. Dry ore is removed from the dryer at 2900 kg/h. Draw a complete diagram of the whole process. Label all streams properly. 2. Perform a degree-of-freedom analysis. 3. Determine the mass flow rate of fresh water to achieve the significant removal of dirt from the freshly mined ore. 4. Calculate the mass of dirty water entering the settler per minute of operation. 5. Calculate the mass fraction of dirt in the stream that enters the washer (after it has been mixed with the freshwater stream). 1.
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