The difference between a damped and an undamped vibration is that an undamped vibration will continue oscillating indefinitely, while a damped vibration will gradually decrease in amplitude until it comes to a stop.
This difference is due to the presence of a damping force in a damped vibration, which removes energy from the system and causes the amplitude to decrease.
The equation for an undamped vibration is:
x(t) = A*cos(ωt + φ)
where:
A is the amplitudeω is the angular frequencyφ is the phase angle.The equation for a damped vibration is:
x(t) = A*e⁻ᵇ⁺*cos(ωt + φ)
where:
A is the amplitudeb is the damping coefficientω is the angular frequency φ is the phase angleThe damping coefficient, b, determines how quickly the amplitude of the vibration decreases. A larger damping coefficient will cause the amplitude to decrease more quickly, while a smaller damping coefficient will cause the amplitude to decrease more slowly.
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1. Design an algorithm and a flowchart which generates even numbers between 1000 and
2000 and then prints them in the standard output. It should also print total sum.
Here is an algorithm for generating and printing even numbers between 1000 and 2000, along with their sum:
Set a variable total to 0, and a variable current to 1000.While current is less than or equal to 2000, do the following:-> If current is even, print it to the standard output.-> Add current to total.-> Add 2 to current.Print the value of total to the standard output.Here is a flowchart (attached) that outlines the steps of this algorithm:
Match each smart device with its description.
Thermostat
Learns from your habits and schedule, allows you to control the climate in your home remotely, shows you energy consumption in real-time, and adjusts itself depending on ambient conditions.
Switch
Allows you to control hardwired lights, ceiling fans, fireplaces, small appliances, and garbage disposals.
Bulb
Can change colors, track motion, stream audio over Bluetooth, and double as a connected camera, but it's only smart when turned on. It doesn't work when turned off.
Plug
Easy solution for making small appliances, such as lamps, coffee makers, and toasters, smart.
The matching of each smart device with their description is as details in the explanations below
What are the functions of the home appliances?A home appliance is also referred to as a domestic appliance and it is defined as an electric appliance which is a machine that assists in household functions such as cooking, cleaning and food preservation.
1) Thermostat. This is basically used to regulate the temperature in home appliances. Thus Option B: allows you to control the climate in your home remotely
2) Switch is defined as a device that allows you to control home appliances such as hardwired lights, ceiling fans, certain fireplaces, small appliances as well as the garbage disposal via an app right on your phone or with your voice using a virtual assistant.
3) Bulbs; Smart bulbs usually work with normal conventional lighting fixtures and bulb holders.
4) Plug: Smart plugs usually automate anything with a plug on it. You can remotely turn on and off anything that's plugged into them using an app.
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in a 2010 toyota prius hatchback, do the back seats fold forward so that you can load something long?
Answer:
yes, u can fold it but not whole like not straight but yea u can find it... btw is this ur school q or what
Yes, the back seats in a 2010 Toyota Prius hatchback can fold forward to create additional space for loading long items.
The Toyota Prius is a popular hybrid car that has been in production since 1997. The 2010 model year of the Prius hatchback features a versatile cargo area that includes 60/40 split-folding rear seats. This means that the back seats can be folded down in a 60/40 configuration to create additional space for longer items. By folding down both sides of the back seat, the cargo area can be extended from the trunk all the way up to the front seats. This allows for the transportation of larger items such as furniture or sporting equipment. The folding process is simple and can be completed by pulling a lever located on the side of the seat cushion. Once the seat is folded down, a flat loading surface is created, which makes it easy to load and transport items.
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8. Find the volume of the figure shown below: * V=L x W x H 7 cm 2 cm 2 cm
compute the solution to x + 2x + 2x = 0 for x0 = 0 mm, v0 = 1 mm and write down the closed-form expression for the response.
Given the following differential equation with initial conditions:\(`x + 2xdot + 2x = 0, x(0) = 0 mm, v(0) = 1 mm/sec`\). The closed-form expression for the response is: \(`x(t) = e^(-t/2) [c1 cos(sqrt(3)/2)t + c2 sin(sqrt(3)/2)t]`\).
We can begin by using the characteristic equation method to solve the differential equation. The characteristic equation of the given differential equation is: \(`m^2 + 2m + 2 = 0`\)Using the quadratic formula:
\(`m = (-2 ± sqrt(2^2 - 4(1)(2)))/2`m = (-2 ± sqrt(-4))/2 = -1 ± i\)Using the solution method for complex roots, the solution to the differential equation is:x(t) = e^(-t/2) [c1 cos(sqrt(3)/2)t + c2 sin(sqrt(3)/2)t]Where, `sqrt(3)/2 = 60 degrees`.
The general solution is of the form: \(`x(t) = C1 e^(-t) cos(t) + C2 e^(-t) sin(t)`Since `x(0) = 0`\), we have:x(0) = C1 cos(0) + C2 sin(0) = 0C1 = 0, `x(t) = C2 e^(-t) sin(t)`
\(x(0) = C1 cos(0) + C2 sin(0) = 0C1 = 0, `x(t) = C2 e^(-t) sin(t)`\)Differentiating `x(t)` gives: `v(t) = dx/dt = C2 e^(-t) sin(t) - C2 e^(-t) cos(t)`Since `v(0) = 1 mm/sec`,\(`v(t) = dx/dt = C2 e^(-t) sin(t) - C2 e^(-t) cos(t)`Since `v(0) = 1 mm/sec`,\)
we have:v(0) = C2 sin(0) - C2 cos(0) = 1C2 = 1
Therefore, \(`x(t) = e^(-t) sin(t)`\)
\(`x(t) = e^(-t) sin(t)`\)
Hence, the closed-form expression for the response is: `x(t) = e^(-t/2) [c1 cos(sqrt(3)/2)t + c2 sin(sqrt(3)/2)t]`\(`x(t) = e^(-t/2) [c1 cos(sqrt(3)/2)t + c2 sin(sqrt(3)/2)t]`\).
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If you make a mistake in polarity when measuring the value of DC voltage in a circuit with a digital VOM, what will happen? A. The meter will be damaged. B. The meter will read positive voltage only. C. The meter will display a negative sign. D. The meter will display OL which states an overload condition.
Answer:
C. The meter will display a negative sign.
Explanation:
If you use an analog voltmeter and you measure voltage with reverse polarity you will damage it. But in this case we are using a digital multimeter. This kind of multimeter is designed to be able to deal with positive and negative voltages
Can you be convicted of a DUI with a BAC of less than the presumptive limit of .08?
Yes.
It is possible to be convicted of a DUI (Driving Under the Influence) with a blood alcohol concentration (BAC) below the presumptive limit of 0.08%.
The specific legal limit for DUI can vary by jurisdiction, and in many places, there is a tiered system where different levels of impairment can lead to different charges. Even with a BAC below the legal limit, if there is evidence of impaired driving or if other factors indicate a person's ability to operate a vehicle safely was compromised, they can still be charged with and convicted of DUI. The decision ultimately depends on the laws and regulations of the specific jurisdiction in which the incident occurred.
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1. Draw an optimal circuit, the shortest path that goes through all twenty points and returns to the beginning. The path you draw must always stay on the grid lines. 2. Write the total length of your path in the box
The part option is a network's crucial path. The network's longest time path. This is recognized as the aspect that contributes to figuring out how quickly the project can be completed.
Project network functions that are known to add up to one of the longest total timeframes, whether or not that longest timeframe has float, are characterized as forming a critical path in terms of project management. This is recognized as the aspect that contributes to figuring out how quickly the project can be completed. As a result, the component option is the network's critical path. The network's longest time path. The shortest route that passes through each of these four locations and leads back to the starting point might be 4. An expression that depicts the relationship between two or more numbers and variables is called an equation. We must determine the shortest route that passes through all four of these locations and leads back to the starting point.
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In 2001, a land-development company launched an engineering project on land adjacent to a protected wetlands area
The statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.
What is data?It should be noted that data simply means the facts or statistics that are put together to get more information about a particular issue.
It should be noted that a project simony refers to an individual or collaborative enterprise which is planned in order to achieve a particular aim. In this case, the land-development company launched an engineering project on land adjacent to a protected wetlands area.
It should be noted that the time frame that the data was collected matters a lot in order to get a valid conclusion.
In this case, the statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.
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The options to the question:
a. The data Gail to represent a broad diversity of species and so do not provide enough information to adequately draw a conclusion.
b. Population data were not sampled frequently enough to draw a valid conclusion.
c. The data show stable population trends in native species providing evidence that the engineering project has no negative impact on the ecosystem.
d. The population data should be collected over a much lingers period of time in order to draw a valid conclusion.
A cylindrical 2014-T6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tests are shown in below. If the var diameter is 12.0 mm, calculate the maximum allowable load amplitude (in N) to ensure that fatigue failure will not occur at 10^7 cycles, Assume a factor of safety of 3.0, data in Figure below were taken for reversed axial tension-compression tests, and that S is stress amplitude.
The maximum allowable load amplitude is 6403.33 N
How to find the maximum allowable load?The parameters given are:
Diameter of the bar, d = 12 mm
Thus:
d = 0.012 m
Cross sectional area of the bar is given by the formula:
A = πd²/4
A = π*0.012²/4
A = 0.000113 m²
From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;
At 10⁷ cycles, Maximum stress, S = 170 MPa
S = 170 * 10⁶ Pa
Factor of safety, N = 3.0
The tensile stress is given by the formula:
σ = S/N
σ = (170 * 10⁶)/3
σ = 56.67 * 10⁶ N/m²
The tensile stress is also given by the formula:
σ = F/A
σ = F/0.000113
F/0.000113 = 56.67 * 10⁶
F = 56.67 * 10⁶ * 0.000113
F = 6403.33 N
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What is the creative process that helps you overcome writer's block called?
The creative process that helps you overcome writer's block is called
Reset
Next
The creative process that helps you overcome writer's block is called Reset.
How do you overcome writer's block?Methods to Overcome Writer's BlockImprove Your Workspace.Utilize the Pomodoro Technique.Schedule a Time and Make a Pattern.Try a Writing Prompt.It's OK to Be Flawed.
Thus, could be the answer.
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is called ecoines
Explanation:
What is the positive limit load factor for large jet transport aircraft?A) n = 3.75B) n = 1.5C) n = 1.0D) n = 2.5
The positive limit load factor is typically n = 2.5.
How to find positive limit load factor?This means that the aircraft is designed and tested to withstand forces up to 2.5 times the force of gravity (2.5g) without experiencing structural failure.
This means that the aircraft is designed and tested to withstand forces up to 2.5 times the force of gravity (2.5g) without experiencing structural failure.
It is important to note that the actual limit load factor for a specific aircraft may vary depending on its design and certification requirements, as well as the specific flight conditions and maneuvers it may encounter.
The limit load factor is one of many factors that must be considered in the design, testing, and operation of an aircraft to ensure its safety and airworthiness.
It is important to note that the actual limit load factor for a specific aircraft may vary depending on its design and certification requirements, as well as the specific flight conditions and maneuvers it may encounter.
The limit load factor is one of many factors that must be considered in the design, testing, and operation of an aircraft to ensure its safety and airworthiness.
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Take any ucceful, high performing organization. Elaborate the viible apect of it culture and how they are practiced by the people in the organization. How ha thi culture contributed toward it high performance? Explain and give reaon
The best example of a high-performing organization with a visible culture is the United States Marine Corps.
What is organization?
An organization is a group of individuals working together to achieve predetermined goals. It can be viewed as a social structure that includes all formally recognised human interactions. The organization includes task alignment with respect to the company's ultimate aim and the division of labour among personnel. It can also be referred to as the second-most significant managerial activity, coordinating employee efforts, acquiring resources, and fusing the two in support of organisational objectives.
The culture of the Marine Corps is one of honor, courage, and commitment. These values are practiced by the Marines in everything they do, from the way they treat each other to the way they perform their duties. The culture of the Marine Corps has contributed to its high performance by instilling a sense of pride and dedication in the Marines.
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Students would like to sell cold drinks to raise money for a field trip. They need to keep the drinks cold for 3 hours at the ball game. Which step of the engineering design process are the students at?
Answer:
Problem definition
Explanation:
The engineering design is a series of step that the engineer gradually take in other to create a functioning product or process. There are many different models of the engineering design process , but they can be shrunk into four basic steps which are
problem definition conceptual designpreliminary designdetailed designdesign communication.The students are within the first step, and the problem here is 'an appropriate means for the students to keep their drinks cold, for 3 hours for the ball game.'
what is the correct html for creating a hyperlink?
Answer:
The correct HTML for creating a hyperlink is <a> symbol.
A piston-cylinder assembly contains 5kg of water that undergoes a series of processes to form a thermodynamic cycle. Process 1à2: Constant pressure cooling from p1=20bar and T1=360°C to saturated vapor Process 2à3: Constant volume cooling to p3=5 bar Process 3à4: Constant pressure heating Process 4à1: Polytropic process following Pv =constant back to the initial state Kinetic and potential energy effects are negligible. Calculate the net work for the cycle in kJ.
Answer:
The net work done is 272.38 kJ
Explanation:
The parameters given are;
Mass of water = 5 kg
p₁ = 20 bar
T₁ = 360°C
v₁ = 0.141147 m³/kg
Process 1 to 2 = Constant pressure process
p₂ = 20 bar
Process 2 to 3 = Constant volume process
p₃ = 5 bar
Process 3 to 4 = Constant pressure process
Process 4 to 1 = Polytropic process pv = Constant
For Stage 1 to 2, we have;
p₂ = 20 bar
From the steam tables for superheated steam, we have;
T₂ = 212.385°C
v₂ = 0.0995805 m³/kg
Work done = p₂×(v₂ - v₁) = 2×10⁶ × (0.0995805 - 0.141147 ) = -83133 J/kg
For the 5 kg, we have;
\(W_{1-2}\) = -83133 J/kg × 5 = -415,665 J
Stage 2 to 3: Constant volume cooling
v₂ = v₃ = 0.0995805 m³/kg
p₃ = 5 bar
T₃ = 151.836°C
(0.0995805 - 0.00109256)/(0.374804 - 0.00109256) = 0.2635 liquid vapor mixture
Work done, \(W_{2-3}\) = 0
Stage 3 to 4: Constant pressure heating
p₃ = p₄ = 5 bar
v₄/T₄ = v₃/T₃
v₄ = 0.374804 m³/kg
T₄ = v₄×T₃/v₃ = 0.374804*(273.15 + 151.836)/0.0995805 = 1599.6 K = 1326.4 °C
Work done = p₄×(v₄ - v₃) = 5×10⁵ × (0.374804 - 0.0995805 ) = 137611.75 J/kg
For the 5 kg, we have;
\(W_{3-4}\) = 137,611.75 J/kg × 5 = 688,058.75 J
Stage 4 to 1: Polytropic process
\(\dfrac{p_{4}}{p_{1}} = \left (\dfrac{V_{1}}{V_{4}} \right )^{n} = \left (\dfrac{T_{4}}{T_{1}} \right )^{\dfrac{n}{n-1}}\)
Which gives;
\(\dfrac{5}{20} = \left (\dfrac{0.141147 }{0.374804} \right )^{n}\)
n = log(5/20) ÷log(0.141147/0.374804) = 1.42
Work done, \(W_{pdv}\), is given as follows;
\(W_{pdv} = \dfrac{p_4 \times v_4 -p_4 \times v_4 }{n-1}\)
Which gives;
\(W_{pdv} = \dfrac{5\times 0.374804 -20\times 0.141147 }{1.42-1} = -2.259 \, J\)
For the 5 kg, we have;
\(W_{4-1}\) = -2.259 J/kg × 5 = -11.2967 J
The net work done, \(W_{Net}\), is therefore;
\(W_{Net}\) = \(W_{1-2}\) + \(W_{3-4}\) + \(W_{4-1}\)
-415,665 + 688,058.75 -11.2967 = 272,382.45 J = 272.38 kJ.
Vapor lock occurs when the gasoline is cooled and forms a gel, preventing fuel flow and
engine operation. TRUE or FALSE
Answer:
True
Explanation:
What type of engineer makes sure equipment is safe and operational
Answer:
mechanical engineer is the best answer
A steel wire of diameter 2.000 mm and length 1.000 m is attached between two immovable supports.When the temperature is 60.00 Celsius the tension in the wire is (essentially) zero. The temperature is then reduced to 20.00 Celsius. Young's Modulus for steel is 2.000E10 Pa and the density of steel is 7.860E3 kg/m3 and the coefficient of linear expansion of steel is 11.0E-6 C-1.
A. Find the tension in the steel wire.
B. What would the velocity of a traveling wave be at this lower temperature?
C. Find the pattern of allowed frequencies of standing waves allowed on this wire.
Answer:
a. 27.65 N b. 5.93 cm/s c. 0.03n where n = 1,2,3....
Explanation:
a. Since Young's Modulus E = stress/strain = σ/ε and σ = εE, we find the stain in the steel wire by finding its strain at 20°C.
Now Δl = lαΔθ where l = length of steel wire = 1.000 m, α = coefficient of linear expansion of steel = 11.0 × 10⁻⁶ C⁻¹ and Δθ = change in temperature = 20 °C - 60 °C = -40 °C
The strain ε = Δl/l = αΔθ = 11.0 × 10⁻⁶ C⁻¹ × -40 °C = -4.4 × 10⁻⁴
σ = T/A= εE, where T = tension in steel wire and A = cross-sectional area of steel wire
T = εEA = εEπd²/4 where d = diameter of wire = 2.000 mm = 2 × 10⁻³ m
So,
T = εEπd²/4
= 4.4 × 10⁻⁴ × 2× 10¹⁰ Pa × π × (2 × 10⁻³ m )²/4
= 27.65 N
b. The velocity of the travelling wave at this lower temperature is
v = √(T/μ) where μ = mass per unit length = ρl where ρ = density of steel wire = 7.86 × 10³ kg/m³ and l = length of wire = 1.000 m
v = √(T/μ)
= √(T/ρl)
= √(27.65 N/(7.86 × 10³ kg/m³ × 1.000 m))
= √(27.65 N/7.86 × 10³ kg/m²)
= √(0.3517 × 10⁻² N/kg/m²)
= 0.05931 m/s
≅ 0.0593 m/s
= 5.93 cm/s
c. To find the allowable frequencies, we first find the fundamental frequency f₀ = v/2l
= 0.0593 m/s ÷ (2 × 1 m)
= 0.0593 m/s ÷ 2
= 0.0297 Hz
≅ 0.03 Hz
So, the allowable modes of frequency are multiples of f₀, that is fₙ = nf₀ where n = 1,2,3....
So, fₙ = 0.03n Hz where n = 1,2,3....
a cantilever horizontal cylindrical shaft is acted upon by a vertical force and a torque at the free end. where is the maximum stress in the cylinder?
The maximum stress in a cantilever horizontal cylindrical shaft acted upon by a vertical force and a torque at the free end is at the lower surface of the shaft, at the free end.
The vertical force causes a bending moment in the shaft, which is greatest at the free end. The torque also causes a twisting moment in the shaft, which is also greatest at the free end.
The combination of these two moments creates a maximum tensile stress at the lower surface of the shaft, and a maximum compressive stress at the upper surface of the shaft.
The maximum stress can be calculated using the following formula:
σ_max = Mc / I
where:
σ_max is the maximum stress
M is the bending moment
c is the distance from the neutral axis to the surface of the shaft
I is the moment of inertia of the shaft
In this case, the distance from the neutral axis to the surface of the shaft is equal to the radius of the shaft. Therefore, the maximum stress can be written as:
σ_max = Mc / (πr^2)
The maximum stress occurs when the bending moment and the torque are at their maximum values. The maximum bending moment occurs when the vertical force is applied at the center of the shaft, and the maximum torque occurs when the torque is applied at 90 degrees to the vertical force.
Therefore, the maximum stress in the shaft occurs at the lower surface of the shaft, at the free end, where the bending moment and the torque are both at their maximum values.
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n order to test whether camshafts are being manufactured to specification a sample of n = 35 camshafts are selected at random. The average value of the sample is calculated to be 4.44 mm and the depths of the camshafts in the sample vary by a standard deviation of s = 0.34 mm. Test the hypotheses selected previously, by filling in the blanks in the following: An estimate of the population mean is 4.44 . The standard error is 0.06 . The distribution is normal (examples: normal / t12 / chisquare4 / F5,6). The test statistic has value TS= . Testing at significance level α = 0.01, the rejection region is: less than and greater than (2 dec places). Since the test statistic (is in/is not in) the rejection region, there (is evidence/is no evidence) to reject the null hypothesis, H0. There (is sufficient/is insufficient) evidence to suggest that the average hardness depth, μ, is different to 4.5 mm. Were any assumptions required in order for this inference to be valid? a: No - the Central Limit Theorem applies, which states the sampling distribution is normal for any population distribution. b: Yes - the population distribution must be normally distributed.
gasoline has a comparatively high btu per galloon rating around?
Answer:
116,090 Btus
Explanation:
the proper way to unplug a cord is to pull on the plug and not the cord. true or false
The proper way to unplug a cord is to pull on the plug and not the cord is true.
What is plug?
Plug is a term used to describe an electrical connection or device that is used to connect two or more electrical components. It is a component that is designed to be connected to a receptacle or an electrical outlet. Plugs can come in different shapes, sizes and configurations and can be used to connect a wide variety of electrical devices. Plugs are used in a variety of applications, from everyday household items to complex industrial machinery. Plugs are used to enable the transfer of energy from one device to another. They provide a safe and easy way to connect electrical devices and components. Plugs provide a secure connection that prevents short circuits and other electrical hazards.
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Find the volume of the rectangular prism
9 cm
10 cm
Answer:
V= 90h cm³ where h is the height of the rectangular prism.
Explanation:
The formula for volume of a rectangular prism is ;
V=l*w*h where;
V=volume in cm³
l= length of prism=10cm
w =width of the prism = 9 cm
Assume the height of the prism as h cm then the volume will be;
V= 10* 9*h
V= 90h cm³
when the value of height of the prism is given, substitute that value with h to get the actual volume of the prism.
In python, how would I randomize numbers and insert them into a file?
before cementing clay with slip, it is advisable to roughen the edges of clay with a wooden or metal modeling tool for a stronger joint
Ceramics are created by combining different materials to make a workable mass, which is then shaped and fired to create a finished piece.
Clay is a natural material used to make ceramics.
To bond pieces of clay together, a slip is used.
When clay is bonded, the joint becomes stronger.
Roughening the edges of clay with a wooden or metal modeling tool is recommended before cementing the clay with slip.
Roughening the edges creates a better bond between the two pieces of clay and helps to make a stronger joint.
A better bond means that the pieces will stick together better, which makes the joint stronger.
Roughening the edges can be done with a wooden or metal modeling tool.
The tool is used to score the edges of the clay by creating shallow scratches.
This is done to increase the surface area of the clay and to give the slip something to grip onto.
Once the edges are roughened, the slip can be applied and the pieces can be cemented together.
In conclusion, roughening the edges of clay before cementing with slip is highly recommended for a stronger joint.
The process can be carried out using a wooden or metal modeling tool.
The roughening creates a better bond between the two pieces of clay and helps to make a stronger joint.
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Salt in crude oil must be removed before the oil undergoes processing in a refinery. The crude oil is fed to a washing unit where freshwater fed to the unit mixes with the oil and dissolves a portion of the salt contained in the oil. The oil (containing some salt but no water), being less dense than the water, can be removed at the top of the washer. If the “spent” wash water contains 15% salt and the crude oil contains 5% salt, determine the concentration of salt in the “washed” oil product if the ratio of crud oil (with salt) to water used is 4:1.
Answer:
What is the question?
Explanation:
The liquid-phase reaction A + B → C follows an elementary rate law and is carried out isothermally in a flow system. The concentrations of A and B feed streams are 2 M before mixing. The volumetric flow rate of each stream is 5 dm3 /min and the entering temperature is 300 K. The streams are mixed immediately before entering. Two reactors are available: One is a gray 200.0 dm3 CSTR that can be heated to 77°C or cooled to 0°C, and the other is a white 800.0 dm3 PFR operated at 300 K that cannot be heated or cooled but can be painted red or black. (Note: k = 0.07 dm3 /mol*min at 300 K and E = 20 kcal/mol.) How long would it take to achieve 90% conversion in a 200 dm3 batch reactor with CA ° = CB ° = 1 ???? after mixing at a temperature of 70°C?
Answer:
1.887 minutes
Explanation:
We are given k = 0.07 dm3 /mol*min at 300 K and E = 20 kcal/mol = 20000 cal/mol
To solve this, first of all let's calculate the rate constant(k);
For this question, The formula is;
K(t) = k(300K) × exp[(E/R)((1/300) - (1/T2))]
R is gas constant = 1.987 cal/mol.K
For temperature of 70°C which is = 70 + 273K = 343K, we have;
K(343) = 0.07 × exp[(20000/1.987)((1/300) - (1/343))]
K(343) = 4.7 dm³/mol.min
The design equation is;
dX/dt = -(rA/C_Ao) = K•(C_Ao)²•(1 - X)²/(C_Ao) = (KC_Ao)(1 - X)²
Since there is no change in volume by cause of the state at which the reaction is carried out, that is liquid. Thus, integrating and solving for time for a 90% conversion we obtain;
(0.9,0)∫dX/(1 - X)².dX = (KC_Ao)((t, 0)∫dt
So, we'll get;
0.9/(1 - 0.9) = 4.77 × 1 × t
t = 9/4.77
t = 1.887 minutes
FOR BRAINLIST HELP PLEASE IS A DCP
A- Causes of the 13t Amendment
B- Reasons for Women's Suffrage
C- Reasons for the Freedmen's Bureau
D- Causes of the Plantation System
Answer:
C
Explanation: Freedmens Bureau provided resources for southerners and newly freed slaves
Steam flowing through a long, thin walled pipe maintains the pipe wall at a uniform temperature of 500 K. The pipe is covered with an insulation blanket comprised of two different materials, A and B. The interface between the two materials may be assumed to have an infinite contact resistance, and the entire outer surface is exposed to air for which T? = 300 K and h = 25 W/m2K. A. Sketch the thermal circuit of the system. Label all pertinent nodes and resistancesb. For the prescribed conditions, what is the total heat loss from the pipe? What are the outer surface temperatures Ts,2(A) and Ts,2(B)?
Answer: The heat loss from insulated pipes or tubes to surrounding air depends on several factors such as insulation thickness, ambient temperature, wind speed etc.
Explanation: The heat loss can be calculated using the following formula: Q = 2 π L (ti - to) / [ (ln (ro / ri) / k) + (ln (rs / ro) / KS)] (2).
Where:
Q = heat loss per unit length of pipe (W/m)L = length of pipe (m)ti = temperature inside pipe (K)to = temperature outside pipe (K)ro = outside radius of pipe (m)ri = inside radius of pipe (m)rs = outside radius of insulation (m)k = thermal conductivity of pipe material (W/mK or W/m oC, Btu/ (hr oF ft2/ft))ks = thermal conductivity of insulation material (W/mK or W/m oC, Btu/ (hr oF ft2/ft))The total heat loss from the pipe can be calculated by multiplying Q with the length of the pipe. The outer surface temperatures Ts,2(A) and Ts,2(B) can be calculated using the following formula3:
Ts,2(A) = T? + Q/(hA) Ts,2(B) = T? + Q/(hB)
Where:
T? = ambient temperature outside insulation blankethA and hB are convective heat transfer coefficients for materials A and B respectively.I'm sorry, but there really isn't enough information to solve the problem using what is given. However, I have provided you with a yellow brick road, so to speak, as how to solve the word problem. Hope this helps and have a great day!