4. Let us consider a process flow diagram describing the water conditioning setup for a salt- water fish tank. This process removes all of the dirt from the inlet stream and adds oxygen. and salt to a final salt-to-water ratio of 0.0375, and an oxygen-to-water ratio of 0.0015. The inlet stream, which contains water, salt, dissolved oxygen, and dirt enters a sedimentation unit. This unit concentrates all of the dirt and removes it at a concentration of 20.0 wt% dirt. This dirt is then subsequently filtered out of the system. While the concentrating of dirt is the only separation achieved in the sedimentation unit, it also creates two additional outlet streams, which feed the oxygenator and the salinator. In the oxygenator, oxygen is bubbled into the water to achieve an oxygen-to-water ratio of 0.0020. In the salinator, salt tablets are dissolved into the stream as needed. Wigh 400 In S 9 20 Isse Ⓒ100% W

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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4. Let us consider a process flow diagram describing the water conditioning setup for a salt-
water fish tank. This process removes all of the dirt from the inlet stream and adds oxygen
and salt to a final salt-to-water ratio of 0.0375, and an oxygen-to-water ratio of 0.0015.
The inlet stream, which contains water, salt, dissolved oxygen, and dirt enters a
sedimentation unit. This unit concentrates all of the dirt and removes it at a concentration
of 20.0 wt% dirt. This dirt is then subsequently filtered out of the system. While the
concentrating of dirt is the only separation achieved in the sedimentation unit, it also creates
two additional outlet streams, which feed the oxygenator and the salinator. In the
oxygenator, oxygen is bubbled into the water to achieve an oxygen-to-water ratio of
0.0020. In the salinator, salt tablets are dissolved into the stream as needed.
Sa
20
O
Ogator
c. What is the flow rate of stream 6?
Ser
*11W = 0.9625,
a. Calculate the flow rate and concentration of the final product stream 11?
kg
t₁ = 52.0
*115 = 0.0361,
*110 = 0.0014
b. What is the flow rate of stream 3?
d. What is the flow rate of stream 9?
Ⓒ100%
th=0.050-
kg
h
kg
h
th=0.625-
kg
9
the 2.003
00
e. What is the flow rate and composition of stream 8?
kg
the = 10.0
Xaw = 0.7801, Xas = 0.0195,
*ao = 0.0004
7
Transcribed Image Text:4. Let us consider a process flow diagram describing the water conditioning setup for a salt- water fish tank. This process removes all of the dirt from the inlet stream and adds oxygen and salt to a final salt-to-water ratio of 0.0375, and an oxygen-to-water ratio of 0.0015. The inlet stream, which contains water, salt, dissolved oxygen, and dirt enters a sedimentation unit. This unit concentrates all of the dirt and removes it at a concentration of 20.0 wt% dirt. This dirt is then subsequently filtered out of the system. While the concentrating of dirt is the only separation achieved in the sedimentation unit, it also creates two additional outlet streams, which feed the oxygenator and the salinator. In the oxygenator, oxygen is bubbled into the water to achieve an oxygen-to-water ratio of 0.0020. In the salinator, salt tablets are dissolved into the stream as needed. Sa 20 O Ogator c. What is the flow rate of stream 6? Ser *11W = 0.9625, a. Calculate the flow rate and concentration of the final product stream 11? kg t₁ = 52.0 *115 = 0.0361, *110 = 0.0014 b. What is the flow rate of stream 3? d. What is the flow rate of stream 9? Ⓒ100% th=0.050- kg h kg h th=0.625- kg 9 the 2.003 00 e. What is the flow rate and composition of stream 8? kg the = 10.0 Xaw = 0.7801, Xas = 0.0195, *ao = 0.0004 7
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Given that-

Water feed, W=50 kg/hr 

At product stream 11,

Final salt to water ratio=0.0375

Final oxygen to water ratio= 0.0015   

At oxygenator stream 4,

Oxygen to water ratio=0.002

(a)

Now, first of all the final balance at product stream (11) is calculated as follows-

Considering initial water= 1, fractions of oxygen, water and salt in product stream are-

xO2=0.00151+0.0015=0.00151.0015=0.00149xsalt=0.03751+0.0375=0.03751.0375=0.03614xwater=1-(0.03614+0.00149)=0.96237

Now, for overall system the specified balance of water is-

          W=P11×(xwater)50 kg/h=P11×0.96237         P11=51.955 kg/h

Hence, the product stream flow rate is almost 52 kg/h. 

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