An asset management system provides the information required to plan, operate, and maintain a roadway lighting system, which is option (b).
Asset management systems are used to manage and optimize the lifecycle of assets, including roadway lighting systems. These systems provide a centralized platform for storing and analyzing data related to the lighting system, such as the location and condition of light fixtures, maintenance history, and energy consumption. By analyzing this data, asset management systems can help roadway authorities make informed decisions about when to repair or replace lighting components, how to allocate maintenance resources, and how to optimize the system for energy efficiency. An asset management system does not typically provide information related to the installation of a lighting system, lighting warranties, or lighting standards.
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What does a W8 × 22 beam that is 21' long weigh
The correct answer is a W8 × 22 beam that is 21 feet long weighs approximately 467.3 pounds.
The weight of a W8 × 22 beam that is 21 feet long can be calculated as follows:Convert the length from feet to inches: 21 feet × 12 inches/foot = 252 inches.Look up the weight per foot of a W8 × 22 beam in a standard steel beam table. According to one source, the weight per foot is 22.3 pounds per foot.Multiply the weight per foot by the length in feet: 22.3 pounds/foot × 21 feet = 467.3 pounds.The weight per unit length of a W8 × 22 beam can be found in a steel beam table or from a manufacturer's specification sheet. For this beam, the weight per foot is 22 pounds per foot, or 2.75 pounds per inch.
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A 1-ft rod with a diameter of 0.5 in. is subjected to a tensile force of 1,300 lb and has an elongation of 0.009 in. The modulus of elasticity of the material is most nearly:
Answer:
E = 8.83 kips
Explanation:
First, we determine the stress on the rod:
\(\sigma = \frac{F}{A}\\\\\)
where,
σ = stress = ?
F = Force Applied = 1300 lb
A = Cross-sectional Area of rod = 0.5\(\pi \frac{d^2}{4} = \pi \frac{(0.5\ in)^2}{4} = 0.1963\ in^2\)
Therefore,
\(\sigma = \frac{1300\ lb}{0.1963\ in^2} \\\\\sigma = 6.62\ kips\)
Now, we determine the strain:
\(strain = \epsilon = \frac{elongation}{original\ length} \\\\\epsilon = \frac{0.009\ in}{12\ in}\\\\\epsilon = 7.5\ x\ 10^{-4}\)
Now, the modulus of elasticity (E) is given as:
\(E = \frac{\sigma}{\epsilon}\\\\E = \frac{6.62\ kips}{7.5\ x\ 10^{-4}}\)
E = 8.83 kips
Air flow at 15 m/s past a thin flat plate. Estimate the distance x from the leading edge at which the boundary layer thickness will be (a) 10 cm and (b) 1 mm. Use a transition Reynolds number of 5 x 105.
Answer:
a) x = 5.7791 m ( this a turbulent flow )
b) x = 0.04 m ( this is a Laminar flow )
Explanation:
For Air, take
p = 1.2 kg/m³ and u = 1.8×10⁻⁵ kg/m³
So for A , x = 10 cm
Guess turbulent flow;
(Sturb / x) = (0.16 / (p∪x / u)^1/7)
we substitute
(0.1/x = 0.16) / ( 1.2 × 15 × x / 1.8×10⁻⁵)^1/7
x = 5.7791 m
CHECK
Re = (1.2 × 15 × 5.7791) / 1.8×10⁻⁵ = 5.779×10⁶
Therefore this a turbulent flow
for B, x = 1mm
Guess Laminar flow
(S-laminar / x) = ( 5 / (Reₓ)^1/2)
x = (Stutb)²p∪ / 23u
x = ((0.001)² × 1.2 × 15) / (25 × 1.8×10⁻⁵)
x = 0.04 m
CHECK
Re = (1.2 × 15 × 0.04) / (1.8×10⁻⁵)
= 40000
Therefore this is a Laminar flow
A wastewater treatment plant discharges 2.0 m^3/s of effluent having an ultimate BOD of 40.0 mg/L into a stream flowing at 15.0 m^3/s. Just upstream from the discharge point, the stream has an ultimate BOD of 3.5 mg/L. The deoxygenation constant kd is estimated at 0.22/day.
a. Assuming complete and instantaneous mixing, find the ultimate BOD of the mixture of wastewater and river just downstream from the outfall.
b. Assuming a constant cross sectional area for the stream equal to 55 m^2 , what ultimate BOD would you expect to find at a point 10,000 m downstream?
Answer:
What grade is this is for??
why is tubing sometimes coiled when installed in a car or vechile
Answer:
Coiled tubing is often used to carry out operations similar to wire lining.
How does a port’s shape, interior surface, and size determine its efficiency? What are the three types of valve seals? Is one type better at performing its function than the others?
The shape, interior surface, and size of a port all determine its efficiency. The three types of valve seals are compression seals, O-ring seals, and PTFE seals.
Each type has its own advantages and disadvantages, and one may be more suitable for specific purposes than the others. O-ring seals - These seals are made of a rubber material and are commonly used in low-pressure applications. They provide a good seal and are relatively easy to install and replace. Lip seals - These seals are made of a rubber material and have a lip that contacts the valve stem or shaft. They are commonly used in applications that require high-pressure sealing, such as hydraulic systems. Mechanical seals - These seals use a combination of metal and rubber components to provide a tight seal. They are commonly used in applications that require high-pressure or high-temperature sealing, such as pumps and compressors.
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A. Multiple Choices (2.5 marks each, 50 marks in total) Only one of the 4 choices is correct for each question. 1. Of the following statements about turbo-generators and hydro-generators, ( ) is correct. A. A hydro-generator usually rotates faster than a turbo-generator in normal operations. B. A hydro-generator usually has more poles than a turbo-generator. C. The excitation mmf of turbo-generator is a square wave spatially. D. The field winding of hydro-generator is supplied with alternating current.
Of the following statements about turbo-generators and hydro-generators, B. A hydro-generator usually has more poles than a turbo-generator is correct.
A hydro-generator is a type of electrical generator that converts water pressure into electrical energy. Hydro-generators are used in hydroelectric power plants to produce electricity from the energy contained in falling water. A turbo-generator is a device that converts the energy of high-pressure, high-temperature steam into mechanical energy, which is then converted into electrical energy by a generator.
Turbo-generators are used in power plants to produce electricity, and they can be driven by various fuel sources, including nuclear power, coal, and natural gas. In an electric generator, the field winding is the component that produces the magnetic field required for electrical generation.
The current passing through the field winding generates a magnetic field that rotates around the rotor, cutting the conductors of the armature winding and producing an electrical output. Excitation is the method of creating magnetic flux in a ferromagnetic object such as a transformer core or a rotating machine such as a generator or motor.
An electromagnet connected to a DC power supply is usually used to excite rotating machinery (a rotating DC machine). The alternating current supplied to the field winding of the hydro-generator is supplied with alternating current, while the excitation mmf of the turbo-generator is a square wave spatially. Therefore, the correct option is B. A hydro generator usually has more poles than a turbo generator.
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3/4 + 1/2
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The grinder has a force of 400 N in the direction shown at the bottom. The grinder has a mass of 300 kg with center of mass at G. The wheel at B is free to move (no friction). Determine the force in the hydraulic cylinder DF. Express in newtons below.
The resultant force in the hydraulic cylinder DF can be determined by considering the equilibrium of forces and moments acting on the grinder.
A detailed explanation requires a clear understanding of the principles of statics and dynamics. First, we need to identify all forces acting on the grinder: gravitational force, which is the product of mass and acceleration due to gravity (300 kg * 9.8 m/s^2), force due to the grinder (400 N), and force in the hydraulic cylinder DF. Assuming the system is in equilibrium (i.e., sum of all forces and moments equals zero), we can create equations based on the force equilibrium in vertical and horizontal directions and the moment equilibrium around a suitable point, typically point G. Solving these equations gives us the force in the hydraulic cylinder DF.
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True or False? Engineering is a profession that is limited to the United States.
Answer:
No
Explanation:
People work in engineering all over the globe.
The UHRS platform is optimized for Edge/Internet Explorer only. You can still use your favorite browser, but keep in mind that you may experience technical issues when working on UHRS with a different browser than Edge or Internet Explorer.
UHRS is optimized for...
It is to be noted that all UHRS platforms are optimized for the popular kinds of internet browser applications.
What is a UHRS?The Universal Human Relevance System (UHRS) is a crowdsourcing platform that allows for data labeling for a variety of AI application situations.
Vendor partners link people referred to as "judges" to offer data labeling at scale for us. All UHRS judges are bound by an NDA, ensuring that data is kept protected.
A browser is a software tool that allows you to see and interact with all of the knowledgeon the World Wide Web. Web sites, movies, and photos are all examples of this.
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Water flows through a straight 10-cm-diameter pipe at a Reynolds number of 250,000. If the pipe roughness is 0.06 mm, what is the approximate Moody friction factor? (a) 0.015 (b) 0.017 (c) 0.019 (d) 0.026 (e) 0.032
The approximate Moody friction factor is 0.019 which is (c) in the given options. Given parameters: Diameter of pipe (D) = 10 cm = 0.1 m Reynolds number (Re) = 250,000Roughness of pipe (ε) = 0.06 mm = 0.00006 m
Calculation: The formula for Moody friction factor is given by f = (0.79 log (Re) - 1.64) ^ {-2}. So, we can calculate the Moody friction factor using the formula mentioned above.
f = (0.79 log (Re) - 1.64) ^ {-2}= (0.79 log (250,000) - 1.64) ^ {-2} = 0.019 (Approximately)
Thus, the approximate Moody friction factor is 0.019 which is (c) in the given options.
The Moody chart is a graphical representation used to determine the friction factor in fluid dynamics for laminar and turbulent flow in pipes. The Moody chart uses the Reynolds number and the relative roughness of the pipe as inputs.
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Raven is adding FSMO roles to domain controllers in the domain1.com forest. The forest contains a single domain and three domain controllers, DC1, DC2, and DC3. DC1 contains a copy of the global catalog, and all three domain controllers have the latest version of Windows Server 2019 installed. Which of the following is a best practice that Raven should follow? She should use DC2 or DC3 as the Domain Naming Master. B She should create the Domain Naming Master role on DC1. She should create three Domain Naming Master roles, one for each domain controller. She does not need to create the Domain Master role because DC1 contains a copy of the global catalog.
The best practice that Raven should follow is to use DC2 or DC3 as the Domain Naming Master of the following is a best practice that Raven should follow. The correct option is A.
The management of the addition or deletion of domains from the forest is the responsibility of the Domain Naming Master. For redundancy and fault tolerance, it is advised to split the FSMO roles among several domain controllers.
Since DC1 already has a copy of the global catalog, it is advantageous to choose a different domain controller (DC2 or DC3) as the Domain Naming Master to disperse the workload and guarantee high availability. This ensures that the forest's operations may continue even if one domain controller goes offline and prevents the creation of a single point of failure.
Thus, the ideal selection is option A.
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Question 2
Salt in crude oil must be removed before the oil undergoes processi
fed to a washing unit where fresh water fed to the unit mixes with t
the sal contained in the oil. The oil (containing salt but no water), be
can be removed at the top of the washer. If the "spent" wash water
oil contains 5% salt, determine the concentration of the salt in the w
crude oil (with salt) to water used is 4:1.
The concentration of the salt in the w crude oil (with salt) to water used is 4:1 is 0.0061.
What is crude oil?
Crude oil is a hydrocarbon mixture that exists in liquid form in natural subterranean reservoirs and stays liquid at atmospheric pressure after passing through surface separation facilities.
The salt content of "spent" wash water is 15%.
5% of crude oil is salt.
The crude oil (with salt) to water ratio utilised is 4: 1.
Crude oil fraction:
95% of crude oil = 0.95
0.95F1 = x1E1
0.95(100) = x1E1
95= x1E1
E1 = 95/X1
wash water fraction:
15% of wash water = 100% -15% = 85%
= F2 = 0.85E2
salts fraction:
0.05F1 = (1-X1)E1 + 0.15E2
0.05F1 = (1-X)95/X1 + 0.15(F2/0.85)
0.05F1 = 95/X1 - 95 + 0.15(F2/0.85) (SINCE = 95.588 = 95/X1 = 99.38)
0.05(100) = 95/X1 - 95 + 17.61(1/4F1)
5 = 95/X1 - 95 + 4.41
Fraction of salts = 1- X1 = 0.0061
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Write matlab code for motion of a car first order system
Answer:
Vehicle Dynamics for use with MATLAB/Simulink (VDMS) is a lumped-parameter, 15 degrees-of-freedom vehicle simulation program that reads input files containing chassis, suspension kinematics and compliances, tire, driveline, and aerodynamic inputs.
Explanation:
hope it helps you
How does concurrent engineering speed up product development?
A. The product and process are designed using computer-aided design.
B. The product and process are designed in series.
C. The product and process are designed in separate spaces.
D. The product and process are designed simultaneously.
Answer:
The product and process are designed simultaneously
Explanation:
PENN
For which of the following circuit elements is the current flowing through the element proportional to the integral of the voltage across it? (Assume that the initial current 0 before the voltage is applied.) Select one: a. Capacitors b. None of these
c. Inductors d. Resistors e. All of these Check
The circuit element for which the current flowing through the element is proportional to the integral of the voltage across it is an Inductor. Option C is correct.
An inductor is a passive circuit element that stores energy in a magnetic field when current flows through it. When the voltage across an inductor changes, the magnetic field collapses or expands, inducing a voltage that opposes the change in current. As a result, the current through an inductor is proportional to the integral of the voltage across it.
Option a, Capacitors, is incorrect because the current flowing through a capacitor is proportional to the rate of change of the voltage across it.
Option d, Resistors, is incorrect because the current flowing through a resistor is proportional to the voltage across it, according to Ohm's Law.
Option e, All of these, is incorrect because only inductors have the current flowing through them proportional to the integral of the voltage across them.
Therefore, option C is correct.
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a technician is being asked to move a heavy industrial printer. which safety technique is recommended for this situation?
The safety technique that is recommended for this situation of moving a heavy industrial printer is to Bend at the knees when lifting.
What is a Safety Procedure?This refers to the process of executing a task in a safe and acceptable way that does not put the user or others at risk
Hence, we can see that The safety technique that is recommended for this situation of moving a heavy industrial printer is to Bend at the knees when lifting.
This is to ensure that the person doing the lifting does not injure himself and has the proper form when lifting.
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A technician has been dispatched to assist a sales person who cannot get his laptop to display through a projector. The technician verified the video is displaying properly on the laptop's built-in screen. Which of the following is the next step the technician should take?
Answer:verify proper cable is hooked between laptop and projector. HDMI ports or 15 pin video output to input.
And laptop is selected to output to respective video output.
Explanation:
Describe how the fracture behavior would be different for a fiber-reinforced tape such as duct tape.
Answer:
A Normal tape is very weak under tensile force and when a small fracture is caused, it will affect the whole tape and the tape will fail easily. while a fiber-reinforced tape will not fail easily under same stress and this is the major advantage of a fiber-reinforced tape has over a normal tape
Explanation:
The fracture behavior would be different for a fiber-reinforced tape in the following way :
* It's behavior during tensile stress and its fracture behavior.
A Normal tape is very weak under tensile force and when a small fracture is caused, it will affect the whole tape and the tape will fail easily. while a fiber-reinforced tape will not fail easily under same stress and this is the major advantage of a fiber-reinforced tape has over a normal tape
a squirrel-cage induction motor under no-load conditions develops very little torque. question 3 options: true false
A squirrel-cage induction motor under no-load conditions develops very little torque is true.
What is squirrel-cage induction motor?Induction motors use electromagnetic to create motion, and squirrel cage motors are a subtype of these motors. They are referred known as "squirrel cage" motors because the inner component attached to the output shaft, the rotor, has the appearance of a cage. A squirrel-cage winding placed in the rotor of a synchronous motor can boost the motor's starting torque and speed up the process of reaching synchronous speed. A synchronous machine will often have a smaller squirrel cage winding than an induction machine with a comparable rating.Zero load denotes an open circuit, or a load through which no current is flowing. Full load denotes that all current—either a short circuit or some arbitrary maximum current as determined by the circumstance or issue—is passing through the load.To learn more about squirrel-cage induction motor refer to:
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what is the worst way to show self-management?
a. Plant a time to evaluate your progress
b. Set your own career your
c. Ask your boss to set all your goals
d. Ask for feedback on your progress
The worst way to show self-management is to ask your boss to set all your goals. Self-management is the act of managing one's own behavior, time, and resources effectively to reach a goal.
It is the ability to organize oneself and control impulses, emotions, and actions. It is a skill that requires discipline, self-awareness, and commitment. There are different ways to show self-management, but some ways are better than others.Asking your boss to set all your goals is the worst way to show self-management because it shows a lack of initiative and responsibility. It suggests that you are not willing to take ownership of your career or invest in your development. It also implies that you are not confident in your ability to set and achieve your own goals. By asking your boss to set all your goals, you are giving away your power and agency, and relying on someone else to define your success and progress. This approach can be limiting, disempowering, and demotivating.There are better ways to show self-management, such as planting a time to evaluate your progress, setting your own career goals, and asking for feedback on your progress. Planting a time to evaluate your progress is a proactive way to assess your performance and identify areas for improvement. Setting your own career goals demonstrates ambition, vision, and ownership of your future. Asking for feedback on your progress shows a willingness to learn, grow, and adapt to new challenges. These approaches are more empowering, engaging, and effective than relying on your boss to set all your goals.
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Question One
A mild steel rod of 30 mm diameter and 400 mm long is encased centrally inside a hollow copper tube of
external diameter 40 mm and inside diameter 35 mm. The ends of the rod and tube are rigidly attached
and the composite bar is subjected to an axial pull of 45 kN. If E for steel and copper are 200 GN/m² and
100 GN/m² respectively, find the stress developed in the rod and the tube. Find also the extension of the
rod.
According to the question, the stress developed in the rod and the tube is 64.68 N/mm³and the extension of the rod is 1.294 mm.
What is stress?Change of any kind that strains a person physically, mentally, or emotionally is regarded as stressful. Stress is the body's response to anything that requires concentration or activity. Everyone goes through periods of stress.
Briefing:Diameter of rod = 25 mm
Length of rod = 400 mm
External diameter of tube = 35 mm
Inside diameter of tube = 30 mm
E for steel = 200GN/m²
E for copper = 100GN/m²
A₁ = π/4 × (25)²
A₂ = 490.87 mm²
A₂ = π/4 (35² - 30²)
A₂ = 255.25 mm²
for equilibrium -
P₁A₁ + P₂A₂
= P
= 40 × 10³
so,
P₁²/E₁ = P₂²/E₂
P₁ = P₂ × (200/100)
P₁ = 2P₂
2P₂A₂ + P₂A₂ = 40 × 10³
P₂ = 32.34 N/mm³
P₁ = 2P₂ = 64.68 N/mm³
P₁ = 64.68 N/mm³
extension of rod = (64.88 × 4000) / (2×10³)
extension of rod = 1.294 mm
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I really need help on this!
Which of the following is a term for a comparison between product metrics and values to industry standards and competitions metrics and values?
A: ideal value
B: competitive analysis
C: benchmark
D: marginally accepted value
step by step, how can i manipulate robotic code of a robot
simulation in Gazebo software in order to achieve bluetooth
connectivity of the simulation and a mobile app(joystick)?
Here are the step-by-step instructions to manipulate robotic code of a robot simulation in Gazebo software in order to achieve Bluetooth connectivity of the simulation and a mobile app(joystick):
Step 1: Create a new ROS workspaceIn the home directory, create a new folder named catkin_ws. Inside that folder, create a folder named src by running this command: $ mkdir -p ~/catkin_ws/src
Step 2: Set up the ROS environment. Run the following command to update the package lists: $ sudo apt updateInstall ROS by running the following command: $ sudo apt install ros-melodic-desktop-fullSetup your environment variables by running the following commands: $ echo "source /opt/ros/melodic/setup.bash" >> ~/.bashrc$ source ~/.bashrc
Step 3: Install Gazebo and other required packages. Run the following command to install Gazebo: $ sudo apt install gazebo9 libgazebo9-devRun the following command to install a package that is required for Bluetooth connectivity: $ sudo apt install bluez libbluetooth-dev
Step 4: Create a new ROS packageCreate a new package named joystick_bot by running the following command: $ cd ~/catkin_ws/src $ catkin_create_pkg joystick_bot
Step 5: Clone the Robot simulation code from GithubClone the repository from GitHub by running the following command: $ cd ~/catkin_ws/src$ git clone https://github.com/udacity/RoboND-JoyStick-Control.git
Step 6: Build the code and run the simulation. To build the code, run the following command: $ cd ~/catkin_ws$ catkin_make$ source devel/setup.bashLaunch the simulation by running the following command: $ roslaunch joystick_bot robot_description.launch $ roslaunch joystick_bot robot_control.launch
Step 7: Establish Bluetooth connectivity: Pair your mobile device with your computer. Run the following command to start the Bluetooth server: $ sudo hciconfig hci0 piscan
Run the following command to run the Bluetooth node: $ rosrun joy joy_node joy:=/joy_raw
After following these steps, you will be able to manipulate robotic code of a robot simulation in Gazebo software in order to achieve Bluetooth connectivity of the simulation and a mobile app(joystick).
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Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years
which statement best describes the velocity of a bus traveling along its route
Answer:
Option A is the correct answer. The bus traveled at 50 mph for 20 minutes
Explanation:
The complete question is
Which of the following choices best describes velocity of a bus traveling along its route? A. The bus traveled at 50 mph for 20 minutes. B. The airplane traveled southwest at 280 mph. C. The car went from 35 mph to 45 mph. D. The train made several stops, with an average rate of 57 mph.
Solution
In option A the bus is travelling at a speed of 50 miles per hour. This describes the velocity of bus along its route.
The other options are about the velocity of airplane, car and train
are trains cool because if they are then my dad didn't beat me
Answer:
I think trains are pretty awesome. There's a train in japan that levitates slightly and runs on magnetism. Pretty amazing. It's super fast too
How many ""nodes/hosts"" would the following IP v4 addresses support? a. 207.30.155.0 b.123.56.0.0 c. 56.0.0.0
The IP address a: 207.30.155.0 can support up to 254 hosts.
The IP address b.123.56.0.0 can support up to 65,534 hosts.
The IP address c. 56.0.0.0 can support up to 16,777,214 hosts.
The number of nodes or hosts that an IP address can support depends on the subnet mask used. In IPv4, a subnet mask is used to divide an IP address into a network address and a host address. The number of bits set to 1 in the subnet mask indicates the size of the network portion of the address.
a. The IP address 207.30.155.0 with a subnet mask of 255.255.255.0 (or /24 in CIDR notation) can support up to 254 hosts, because the last octet of the address is reserved for identifying hosts.
b. The IP address 123.56.0.0 with a subnet mask of 255.255.0.0 (or /16 in CIDR notation) can support up to 65,534 hosts, because the last two octets of the address are reserved for identifying hosts.
c. The IP address 56.0.0.0 with a subnet mask of 255.0.0.0 (or /8 in CIDR notation) can support up to 16,777,214 hosts, because only the first octet of the address is reserved for identifying networks.
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It is proposed to absorb acetone from air using water as a solvent. Operation is at 10 atm and is isothermal at 20°C. The total flow rate of entering gas is 10 kmol /h. The entering gas is 1.2 mol% acetone. Pure water is used as the solvent. The water flow rate is 15 kmol/h. The desired outlet gas concentration should be 0.1 mol % acetone. For this system, Henry's law holds and Ye = 1.5 X where Ye is the mol fraction of acetone in the vapour in equilibrium with a mol fraction X in the liquid.
KGa = 0.4 kmol*m^-3*s^-1
1. Draw a schematic diagram to represent the process.
2. Determine the mole fraction of acetone in the outlet liquid.
Answer:
The meole fraction of acetone in the outlet liquid is \(x_1 = 0.0072\)
Explanation:
1.
The schematic diagram to represent this process is shown in the diagram attached below:
2.
the mole fraction of acetone in the outlet liquid is determined as follows:
solute from Basis Gas flow rate \(G_s = 10(1-0.012) =9.88 kmol/hr\)
Let the entering mole be :\(y_1 = 1.2\) % = 0.012
\(y_1 =(\dfrac{y_1}{1-y_1})\)
\(y_1 =(\dfrac{0.012}{1-0.012})\)
\(y_1 =0.012\)
Let the outlet gas concentration be \(y_2\) = 0.1% = 0.001
\(y_2 = 0.001\)
Thus; the mole fraction of acetone in the outlet liquid is:
\(G_s y_1 + L_s x_2 = y_2 L_y + L_s x_1\)
\(9.88(0.012-0.001)=15*x_1\)
\(9.88(0.011) = 15x_1\)
\(x_1 = \dfrac{0.10868}{15}\)
\(x_1 = 0.0072\)
The mole fraction of acetone in the outlet liquid is \(x_1 = 0.0072\)