Air is compressed isothermally from 13 psia and 55°F to 80 psia in a reversible steady-flow device. Calculate the work required, in Btu/lbm, for this compression. The gas constant of air is R.

Answers

Answer 1

Answer:64.10 Btu/lbm

Explanation:

Work done in an isothermally compressed steady flow device is expressed as

Work done = P₁V₁ In { P₁/ P₂}

Work done=RT In { P₁/ P₂}

where P₁=13 psia

          P₂= 80 psia

Temperature =°F Temperature is convert to  °R

T(°R) = T(°F) + 459.67

T(°R) = 55°F+ 459.67

=514.67T(°R)

According to the properties of molar gas, gas constant and critical properties table, R  which s the gas constant of air is given as 0.06855 Btu/lbm

Work = RT In { P₁/ P₂}

0.06855 x 514.67 In { 13/ 80}

=0.06855 x 514.67 In {0.1625}

= 0.06855 x 514.67  x -1.817

=- 64.10Btu/lbm

The required work therefore for this  isothermal compression is 64.10 Btu/lbm


Related Questions

A single fixed pulley is used to lift a load of 400N by the application of an effort of 480N in 10s through a vertical height of 5m. Determine the V.R, M.A and efficiency of the machine.​

Answers

Answer:

(a) the velocity ratio of the machine (V.R) = 1

(b) The mechanical advantage of the machine (M.A) = 0.833

(c) The efficiency of the machine (E) = 83.3 %

Explanation:

Given;

load lifted by the pulley, L = 400 N

effort applied in lifting the, E = 480 N

distance moved by the effort, d = 5 m

(a) the velocity ratio of the machine (V.R);

since the effort applied moved downwards through a distance of d, the load will also move upwards through an equal distance 'd'.

V.R = distance moved by effort / distance moved by the load

V.R = 5/5 = 1

(b) The mechanical advantage of the machine (M.A);

M.A = L/E

M.A = 400 / 480

M.A = 0.833

(c) The efficiency of the machine (E);

\(E = \frac{M.A}{V.R} \times 100\%\\\\E = 0.833 \ \times \ 100\%\\\\ E = 83.3 \ \%\)

write verilog design and test bench codes for a 4-bit incrementer (a circuit that adds one to a 4-bit binary) using the 4-bit adder/subtractor module

Answers

Here's an example of Verilog code for a 4-bit incrementer design using a 4-bit adder/subtractor module:

// 4-bit adder/subtractor module

module addsub (

 input [3:0] A,

 input [3:0] B,

 input subtract,

 output [3:0] result

);

 assign result = subtract ? A - B : A + B;

endmodule

// 4-bit incrementer design using the 4-bit adder/subtractor module

module incrementer (

 input wire clk,

 input wire reset,

 input wire enable,

 input wire [3:0] input,

 output wire [3:0] output

);

 reg [3:0] next_output;

 wire [3:0] one = 4'b0001; // Binary representation of one

 // Sequential logic

 always (posedge clk or posedge reset) begin

   if (reset)

     next_output <= 4'b0000;

   else if (enable)

     next_output <= input + one;

 end

 // Combinational logic

 assign output = next_output;

endmodule

// Test bench for the 4-bit incrementer

module incrementer_tb;

 reg clk;

 reg reset;

 reg enable;

 reg [3:0] input;

 wire [3:0] output;

 // Instantiate the incrementer module

 incrementer dut (

   .clk(clk),

   .reset(reset),

   .enable(enable),

   .input(input),

   .output(output)

 );

 // Clock generation

 always begin

   clk = 0;

   #5;

   clk = 1;

   #5;

 end

 // Test input values

 initial begin

   reset = 1;

   enable = 0;

   input = 4'b0000;

   #10;

   reset = 0;

   enable = 1;

   input = 4'b0010;

   #10;

   enable = 0;

   input = 4'b1111;

   #10;

   $finish;

 end

 // Display output

 always (posedge clk) begin

   $display("Output = %b", output);

 end

endmodule

In the above code, the addsub module represents the 4-bit adder/subtractor, while the incrementer module uses the adder/subtractor module to implement the incrementer functionality. The test bench incrementer_tb provides the necessary inputs and displays the output. You can simulate and test this code using a Verilog simulator such as ModelSim or Icarus Verilog.

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Technician A says that tailor-rolled parts may be used for collision energy managements.

Technician B says that tailor-welded parts are aluminum and steel parts joined together. Who is right?


A Only

B only

Both A and B

Neither A nor B

Answers

The correct answer to your problem is the answers of a and b

While designing the world’s tallest building, engineers needed to use a technique called ________ to scale to produce design sketches that were easy to read and understand.

Answers

Answer:

plans

for the question above

I think maybe model to scale

true or false venturi meters and nozzles work on similar priciples of discharge measurement

Answers

The statement "Venturi meters and nozzles work on similar principles of discharge measurement" is True statement.

Venturi meters and nozzles are devices used to measure fluid flow rates based on Bernoulli's equation.

They both use a constriction in the flow path to create a pressure drop, which is then used to calculate the flow rate of the fluid. The difference between them is in the shape of the constriction.

Venturi meters have a gradual constriction that gradually increases in diameter, while nozzles have a sharp constriction that abruptly reduces the diameter of the flow path.

Venturi meters are more suitable for measuring fluids that are more viscous or have a higher flow rate, while nozzles are more suitable for measuring high-velocity fluids.

Therefore the statement is True.

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A cylindrical specimen of some metal alloy 10 mm in diameter and 150 mm long has a modulus of elasticity of 100 GPa. Does it seem reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen diameter of 0.08 mm

Answers

Answer:

N0

Explanation:

It does not seem reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen diameter of 0.08 mm

Given data :

Diameter ( d ) = 10 mm

length ( l ) = 150 mm

elasticity ( ∈ ) = 100 GPa

longitudinal strain ( б ) 200 MPa

Poisson ratio ( μ )  ( assumed ) =0.3

Assumption : deformation totally elastic

attached below is the detailed solution to why it is not reasonable .

The Sd value = 0.08 > the calculated Sd value ( 6*10^-3 ) hence it is not reasonable to expect a tensile stress of 200 MPa to produce a reduction in specimen

A cylindrical specimen of some metal alloy 10 mm in diameter and 150 mm long has a modulus of elasticity

After a strong storm, a worker does not realize that a power transmission line has fallen on his car and is electrocuted while opening the car door. What is this an example of?.

Answers

Answer:

This is an example of the conduction of electricity through metal. Free moving electrons on the car will conduct a electric field when a voltage is applied to the car;  in this case the transmission line, and would flow through the metal to the door handle causing electrocution.

A convective kerosene heater is tested in a well-mixed 60 m3 chamber having an air exchange rate of 0. 3 ach. After one hour of operation, the nitric oxide (NO) concentration reached 3 ppm.

Treating NO as a conservative pollutant, estimate the NO source strenght of the heater (in mg/hr).

Assume: 25 oC and 1 atm

Answers

Solving for source strength in becquerels given radionuclide atomic weight and mass, disintegration constant, and Avogadro's formula...

How to calculate source strength of heaters ?

Heat capacity is the amount of energy required to raise something one degree in temperature. Finding something's heat capacity is as simple as dividing the amount of heat energy supplied by the change in temperature to determine how much energy was required per degree. Every material on the planet has a unique heat capacity. (From the Standard 10 Physics textbook)

Heat Capacity = (Heat Energy Provided) / (Rise in Temperature)

Understand the heat capacity formula. The heat capacity of an object is calculated by dividing the amount of heat energy supplied (E) by the corresponding temperature change (T). Our formula is: E / T = Heat Capacity

Example: What is the heat capacity of a block that takes 2000 Joules of energy to heat up to 5 degrees Celsius?

E / T = Heat Capacity

2000 Joules / 5 C = Heat Capacity

400 Joules per degree Celsius (J/C) heat capacity

If I want to know the heat capacity of a block and I know it takes 60 Joules to raise its temperature from 8 degrees to 20 degrees, I need to know the difference between the two temperatures. The temperature of the block changed by 12 degrees because 20 - 8 = 12. Therefore:

E / T = Heat Capacity

The block's heat capacity is 60 Joules / (20C - 8C)

12 C / 60 Joules

The block's heat capacity is 5 J/C.

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for the solidification of pure gold, calculate the critical radius (r*) and the activation freeenergy (*). assume homogeneous nucleation conditions. the values of the latent heat of fusion and the surface free energy are -1.16x109 j/m3 and 0.132 j/m2, respectively. the degree of supercooling is 30 k and the melting point of gold is 1064 oc.

Answers

1. The critical radius (r*) is given as  1.3 x 10⁻³

2. The activation free energy  is given as 9.7 x 10⁻¹⁹J

How to solve for the critical radius

We have the latent heat to be = 1.16 x 10 ³

v = surface free energy = 0.132J

The degree of gold cooling = 230k

Tm = melting temperature = 1064 degrees C = 1337k

1. We are to find the critical radius

\(\frac{-2vtM}{hF}(\frac{1}{Tm-T} )\)

We have to put in the values

\(\frac{-2(0.132)(1337)}{1.16*10^3} (\frac{1}{230})\)

= 1.3 x 10⁻³

2.  the activation free energy

We can calculate the activation free energy from the formula that we have below

ΔG = \(\frac{16\pi \piv^3(Tm^2) }{3Hf^2} (\frac{1}{T^2} )\\\)

= \(\frac{16\pi(0.132)^3(1337)^2 }{3(-1.16*10^9)^2} (\frac{1}{230^2})\)

= 9.7 x 10⁻¹⁹J

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could you put your sparkplug in the steering wheel and it still works
A. no
B. yes
C. do not care
D. it really doesn't matter

Answers

Answer:

a

Explanation:

Given the following voltage and current:
i(t) = 5 sin(377t - 10o) A
v(t) = 10 cos(377t + 30o) V
Determine the phase relationship between i(t) and v(t).

Answers

Phase relationship refers to the timing or relative position of two or more waveforms, signals, or oscillations with respect to each other. It describes how the peaks and troughs of one waveform align with those of another waveform.

1) To determine the phase relationship between i(t) and v(t), we need to compare the phase angles of their sinusoidal components.

i(t) = 5 sin(377t - 10°) A has a phase angle of -10°, while v(t) = 10 cos(377t + 30°) V has a phase angle of +30°.

2) To make a direct comparison, we can convert i(t) into a cosine function by using the identity sin(x - 90°) = cos(x).

i(t) = 5 sin(377t - 10°) = 5 cos(377t - 10° - 90°) = 5 cos(377t - 100°)

Now we can see that both i(t) and v(t) are cosine functions with frequencies of 377 Hz, and their phase angles are -100° and +30° respectively.

3) Therefore, the phase relationship between i(t) and v(t) is:

φ = -100° - (+30°) = -130°

This indicates that i(t) lags behind v(t) by 130 degrees, or equivalently, v(t) leads i(t) by 130 degrees.

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When your workplace obtains new materials, you should add them to the chemical list:

Answers

Answer:

immediately

Explanation:

real life problems solved in statistics using software engineering

Answers

Answer:

Explanation:

Using a machine learning algorithm, Aerosolve’s predictive model takes the optimal price for a rental based on its location

Using the formula XC=1/(2πfC) in your answer, how would a capacitor influence a simple DC series circuit?

Answers

The capacitive reactance of a DC series circuit increases when its capacitance decreases and vice-versa.

What is a DC series circuit?

A DC series circuit can be defined as a type of circuit in which all of its resistive components are connected end to end, so as to form a single path for the flow of current.

This ultimately implies that, the same amount of current flows through a direct current (DC) series circuit.

The capacitive reactance of a DC series circuit.

Mathematically, the capacitive reactance of a DC series circuit is given by this formula:

\(X_C = \frac{1}{2\pi fC}\)

Where:

is the capacitive reactance.f is the frequency.C is the capacitance.

From the above formula, we can deduce that the capacitive reactance of a DC series circuit is inversely proportional to both frequency and capacitance. Thus, the capacitive reactance of a DC series circuit increases when its capacitance decreases and vice-versa.

In conclusion, a capacitor would influence a simple DC series circuit by blocking the flow of direct current (DC) through it.

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are there any companies that you can get a job at as an air craft engeer after university​

Answers

Explanation:

most big airports. my father has the same degree and works for southwest airlines

A garden hose attached with a nozzle is used to fill a 20-gallon bucket. The inner diameter of the hose is 1 inch and it reduces to 0.5 inch at the nozzle exit. If the average velocity in the hose is 8ft/s, determine
a) the volume and mass flow rates of water through the hose.
b) how long it will take to fill the bucket with water.
c) the average velocity of water at the nozzle exit.

Answers

Answer:

a). \($0.0436 \ ft^3/s$\) , \($2.72 \ lb \ m/s$\)

b). \($61.32 \ s$\)

c). 32. ft/s

Explanation:

a). The volume flow rate of the water is given by :

\($\dot V = uA$\)

   \($=u \pi \left( \frac{d}{2}\right)^2$\)

   \($=\frac{u \pi d^2}{4}$\)

   \($=\frac{8\ ft/s \ \pi \left(\frac{1}{12}\right)^2}{4}$\)

    \($= 0.0436 \ ft^3/s$\)

The mass flow rate of the water is given by :

\($\dot m = \rho \dot V$\)

    \($= 62.4 \times 0.0436$\)

    \($=2.72 \ lb \ m/s$\)

b). The time taken to fill the container is

     \($\Delta t = \frac{V}{\dot V}$\)

          \($=\frac{20 \ gal}{0.0436 \ ft^3/s}\left( \frac{1 \ ft^3}{7.4804 \ gal}\right)$\)

          \($=61.32 \ s$\)

c). The average velocity at the nozzle is :

\($u=\frac{\dot V}{A}$\)

  \($=\frac{\dot V}{\frac{\pi d^2}{4}}$\)

  \($=\frac{0.0436}{\frac{\pi \left(\frac{0.5}{12}\right)^2}{4}}$\)

  = 32. ft/s

_____is a slow wireless technology used to connect devices within a radius of about 30 feet

Answers

Answer:

Bluetooth is a slow wireless technology used to connect devices within a radius of about 30 feet. While Bluetooth technology is amazing, there are lots of bugs involved with Bluetooth devices, and there is still lots to be discovered in this area of tech.

What is the correct order of steps in the scientific method

Answers

Answer:

1) Make a hypothesis, about what u think will happen if you do something

2) conduct the experiment

3) analyze and see what happens

4) do it several more times and  compare ur answers

5) make a conclusion from ur answers

6) celebrate bc u done

4.)is the circuit shown in (a) below combinational logic or sequential logic? explain in a simple fashion what the relationship is between the inputs and outputs. what would you call this circuit? repeat for the circuit shown in (b).

Answers

(a) The combinational logic circuit depicted in (a) is a circuit. One output LED and two input switches make up the device. Only when both input switches are closed or turned on does the output LED turn on.

Combinational logic is a subset of digital logic that is used in electronics and computer science to create circuits where the output is fully reliant on the input variables. The logical combinations of the input variables are the outputs in combinational logic. Gates like AND, OR, and NOT carry out the logical processes. Combinational logic's key benefit is that it is straightforward to build and simple to comprehend. Digital electronics frequently employs combinational circuits for tasks including data processing, signal processing, and mathematical computations. Adders, multiplexers, and demultiplexers are a few typical examples of combinational logic circuits.

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(8 pts.) Air in an Otto cycle engine is compressed to a temperature and pressure of 450 °C and 2.5 MPa. After the power stroke, the conditions are 600 °C and 0.45 MPa. Find the peak cycle temperature (°C), heat addition (kJ/kg), and efficiency

Answers

Answer:

a)  \(Tb=1845.05K\)

b)  \(Q=1000.25KJ\)

c)  \(\mu=0.59\)

Explanation:

From the question we are told that:

Temperature x \(Tx=450c=>723K\)

Pressure x \(Px=2.5MPa\)

Temperature y \(Ty=600c=>873K\)

Pressure y \(Py=0.45MPa\)

Let

Air atmospheric temperature be \(25c\)

Therefore

Temperature \(Ta=25+273=298k\)

Generally the equation for Otto cycle is mathematically given by

 \(\frac{Tb}{Tx}=\frac{Ty}{Ta}\)

 \(Tb=\frac{873*723}{298}\)

 \(Tb=2118.05\)

Therefore the peak cycle temperature (°C)

 \(Tb=2118.05k\)

 \(Tb=2118.05-273\)

 \(Tb=1845.05K\)

Generally the equation for Heat addition is mathematically given by

 \(Q=Cv(Tb-Tx)\)

 \(Q=Cv(2118.05-723)\)

 \(Q=1000.25KJ\)

Generally the equation for Thermal  efficiency is mathematically given by

 \(\mu=1-\frac{Ta}{Tx}\)

 \(\mu=1-\frac{298}{723}\)

 \(\mu=0.59\)

People tend to self-disclose to others that are in age, social status, religion, and personality.

Answers

Answer:people tend to do this when they are in a different environment they lose something or just have something going on in their life

Explanation:

Which gas is released in the SMAW process causing a
shielding affect on the molten weld pool?

•nitrogen

•carbon dioxide

•argon

•hydrogen

Answers

Argon ( I’m not sure )

The A/C compressor will not engage when the A/C is turned on. The static refrigerant pressure is 75 psi and the outside temperature is 72 degrees F. Technician A says that a poor connection at the pressure cycling switch could be the cause. Technician B says that a faulty A/C clutch coil could be the cause. Who is correct

Answers

In the case above,  poor connection at the pressure cycling switch  and also a faulty A/C clutch coil could be the cause.

What is likely the reason when an A/C compressor will not engage if A/C is turned on?

The cause that hinders the A/C Compressor from engaging are:

Due to low pressure lockout.Due to a poor groundDue to bad clutch coil.Dur to an opening in the wire that links to the clutch coil.Due to a blown fuse.

Note that the pressure switches is known to be one that control the on/off function of any kind of AC compressor and as such, if there is switch failure, it can hinder the AC compressor from functioning at all.

Therefore, technician A and B are correct.

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polytropic process is a thermodynamic process that obcys the relation: pV
α
= constant The exponent α is known as the polytropic index, and it may take on any value from 0 to [infinity] depending on the particular process: α=0,p= constant, corresponds to an isobaric (constant-pressure) process; α→[infinity] corresponds
α
an isochoric (constant-volume) process; α=1,pV= constant, corresponds to an isothermal (constant-temperature) procas; α=γ,pV= constant, corresponds to an iscntropic (constant-cntropy) process. Prove that in a polytropic expansion of an ideal gas defined by the equation pV
α
= constant the gas absorbs heat for α<γ and transfers it for α>γ, where γ=c
p

/c
V

.

Answers

Polytropic process is a thermodynamic process in which the relation between pressure and volume is expressed as pV^α = constant, where α is the polytropic index. It may take on any value from 0 to infinity depending on the particular process. α=0 corresponds to an isobaric process, α=∞ corresponds to an isochoric process, α=1 corresponds to an isothermal process, and α=γ corresponds to an isentropic process.

The specific heat ratio γ is defined as the ratio of the specific heat capacities of the gas at a constant pressure (cp) to that at a constant volume (cv).Hence, γ = cp/cv. Let us suppose that an ideal gas undergoes a polytropic expansion given by the equation pV^α = constant, where α > 1. For this process, the gas transfers heat to the surroundings. This can be explained as follows:In a polytropic expansion of an ideal gas, the temperature of the gas decreases as it expands because the gas is doing work against the surrounding pressure. As a result, the internal energy of the gas decreases, and the heat absorbed by the gas from the surroundings must be greater than the work done by the gas. This means that the gas absorbs heat from the surroundings.In a polytropic expansion of an ideal gas, the specific heat capacity at constant volume is less than the specific heat capacity at constant pressure. The ratio of the specific heat capacities, γ, is defined as cp/cv. Hence, the value of γ for an ideal gas is always greater than 1. As a result, if α is less than γ, then the gas absorbs heat from the surroundings. If α is greater than γ, then the gas transfers heat to the surroundings. This is because if α is less than γ, then the specific heat capacity at constant volume is less than the specific heat capacity at constant pressure. Therefore, the gas absorbs heat from the surroundings in order to maintain its temperature. If α is greater than γ, then the specific heat capacity at constant volume is greater than the specific heat capacity at constant pressure. Therefore, the gas transfers heat to the surroundings in order to maintain its temperature.

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This wired networking standard specifies the order in which data is sent through the network.
Select one:
a. Ethernet
b. WiMAX
c. LTE
d. TCP/IP

Answers

The wired networking standard that specifies the order in which data is sent through the network is Ethernet.

Ethernet is a widely used wired networking standard that defines the protocols and specifications for data transmission over a local area network (LAN). It specifies the order in which data is sent through the network by utilizing the Carrier Sense Multiple Access with Collision Detection (CSMA/CD) algorithm.

The CSMA/CD algorithm ensures that multiple devices connected to an Ethernet network can share the same communication medium without interfering with each other. Before transmitting data, a device using Ethernet listens to the network to detect if it is clear to send data. If the network is busy, it waits for an opportune moment. Once the network is clear, the device sends the data, constantly monitoring for collisions. If a collision occurs (when two or more devices transmit data simultaneously), they stop transmitting, wait for a random period of time, and then retry.

By following this protocol, Ethernet ensures orderly and efficient data transmission within the network, minimizing collisions and maximizing data throughput. It has become the de facto standard for wired local area networks due to its reliability, scalability, and widespread adoption.

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For welding the most important reason to use jigs and fixtures in a welding shop is to

Answers

Answer:

Reduce manufacturing costs.

Explanation:

Hope This Helps

Have A Great Day

a penstock is used to bring water from behind a dam into a turbine. the effective head is 20 m and the flow rate of water is 50 m3/s. compute the power of the water exiting the penstock.

Answers

A penstock is a long pipe or tunnel that is used to transport water from a reservoir or behind a dam to a turbine that is used to generate electricity.

The effective head is the vertical distance from the water level in the reservoir or dam to the turbine. In this case, the effective head is 20 meters. The flow rate of water is the volume of water that flows through the penstock in one second, which is 50 cubic meters per second.To calculate the power of the water exiting the penstock, we need to use the formula P = ρghQ, where P is power, ρ is the density of water, g is the acceleration due to gravity, h is the effective head, and Q is the flow rate of water. The density of water is 1000 kg/m3 and the acceleration due to gravity is 9.81 m/s2.So, we can calculate the power of the water exiting the penstock as follows:
P = ρghQ
P = 1000 x 9.81 x 20 x 50
P = 9,810,000 watts or 9.81 MWTherefore, the power of the water exiting the penstock is 9.81 MW. This means that the water is generating a large amount of electricity that can be used to power homes, businesses, and industries in the surrounding area. The power generated by the water exiting the penstock can also be used to store energy in batteries or other storage systems to be used at a later time.

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Water is pumped through a penstock into a turbine from behind a dam. 50 m3/s of water is flowing at an effective head of 20 m. The water leaving the penstock has a 9810 kW power.

To compute the power of the water exiting the penstock, we need to use the formula:
Power = Flow Rate x Effective Head x Gravity
where:
- Flow Rate is the volume of water flowing per unit time (m3/s)
- Effective Head is the height difference between the water source and the turbine (m)
- Gravity is the acceleration due to gravity (9.81 m/s2)
Plugging in the given values, we get:
Power = 50 m3/s x 20 m x 9.81 m/s2
Power = 9810 kW
Therefore, the power of the water exiting the penstock is 9810 kW. This is the maximum amount of power that can be generated by the turbine, assuming it has 100% efficiency. In reality, some of the energy is lost due to friction and other factors, so the actual power output would be less than this value.

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find the current in 1 the electrical circuit below

find the current in 1 the electrical circuit below

Answers

Answer:

  c.  25 μA

Explanation:

The dependent current source means that 31 times i1 will flow through the 6kΩ resistor, effectively increasing its voltage drop to 31 times that which would result from i1 alone. In effect, the 6kΩ resistor behaves in the left-side circuit loop as though it were 31×6kΩ = 186kΩ (with no dependent current source).

Then the current i1 is equivalent to that created by a 5+1 = 6V source through a 54kΩ +186kΩ = 240kΩ circuit impedance.

  (6V)/(240kΩ) = 25 μA

_____

Additional comment

The voltage across the 6kΩ resistor is (186/240)·6V = 4.65V, and the 25 μA current generates a voltage of 30·(25 μA)(1.8kΩ) = 1.35V across the 1.8kΩ resistor. This means the voltage source at the right side of the diagram needs to be at least 4.65 +1.35 = 6.0V in order to support the calculated voltage drops.

Select the best alternative about the red-light shift ____
a. Red light shift bring lights from the infrared to the visible spectrum due to the doppler effect. b. It is used to observe the expandable universe and one expression of the doppler effect. c. The doppler effect induces the red light shift observed in sound waves. d. Objects approaching the observer close to the light speed are subject to the red light shift.

Answers

The best alternative about the red-light shift is It is used to observe the expandable universe and one expression of the Doppler effect.

The red-light shift refers to a phenomenon observed in light waves where the wavelength of the light is stretched, causing a shift towards the red end of the spectrum. Option B correctly states that the red-light shift is used to observe the expanding universe and is an expression of the Doppler effect.

When light waves from distant galaxies or celestial objects travel through space, the expansion of the universe causes the wavelength of the light to stretch. This stretching leads to a shift towards longer wavelengths, which appear as a red shift when observed from Earth. This phenomenon is an essential tool in studying the expansion and evolution of the universe.

The Doppler effect is the change in frequency or wavelength of a wave as perceived by an observer when there is relative motion between the source of the wave and the observer. In the context of the red-light shift, the motion of distant galaxies away from us causes the observed wavelength of their light to increase, resulting in a red shift.

By observing the red-light shift, scientists can gather valuable information about the distance, speed, and behavior of celestial objects. It provides evidence for the expansion of the universe and helps in understanding its dynamics and history.

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Matlab Assignment BME496

Consider the filtration of a fluid flowing within a Hollow Fiber Module which consist of 1000 fibers. Assume that the length of the hollow fiber is 20 cm and that the radius of the hollow fiber is 0.005 cm. if the filtration flux is 0.5 cm/s and the feed to the Module is 500 cm3/s. Use MATLAB to do the following:

Plot the Flow rate in each fiber as a function of Z (i.e F(z))

If the concentration of a solute in the feed is 6 g/L. Knowing that the sieving coefficient (So) is 0.4. Plot the concentration of the solute in the fiber (in g/L) as a function of z (i.e Cb(z))

If the concentration of a solute in the feed is 6 g/L. Knowing that the sieving coefficient (So) is 0.4. Plot the concentration of the solute in the fiber (in g/L) as a function of z (i.e Cb(z)) if length of the hollow fiber is 10 cm

If the concentration of a solute in the feed is 6 g/L. Knowing that the sieving coefficient (So) is 0.4. Plot the concentration of the solute in the fiber (in g/L) as a function of z (i.e Cb(z)) if the radius of the hollow fiber is 0.01 cm

The submitted file must be in a pdf format and must include:

Cover page: Student(s) names and Student(s) numbers.

Matlab Code

Matlab plots: the plots must have all details such as: axes names, unit, legends….ext.

Discussion of the obtained results in your own words

Answers

Given information: Length of the hollow fiber, \(L = 20\)cm Radius of the hollow fiber,\(r = 0.005\) cm Filtration flux,\(J = 0.5\) cm/s Feed to the module, \(Q = 500 cm3/s\) Concentration of a solute in the feed, \(C = 6\)g/L Sieving coefficient, So = 0.4

Therefore, the concentration of the solute in the fiber can be found using the formula, \(C b(z) = C*(1-So)*exp(-z^2/(4*L*J))*exp(r^2/R^2-z^2/(4*L*J))C b(z) = C*(1-So)*exp(-z^2/(4*L*J))*exp(1^2/0.01^2-z^2/(4*L*J))Plot of C b(z) for r = 0.01\)cm will be, The MATLAB code for the above can be written as: c lc; clear all; close all;%Given Data\(L = 20; %cm r = 0.005; %cm J = 0.5; %cm/s Q = 500; %cm^3/s C = 6; %g/L So = 0.4;%Flow Rate F = (Q./(pi*r^2)).*exp(-(z.^2)./(4.*L.*J))\)

figure(1)plot(z,F,'LineWidth',2);x label('z (cm)')y label('Flow Rate (cm^3/s)')title('Flow Rate in each fiber')grid on% Concentration of the solute in the fiber (in g/L) as a function of z C b = C.*(1-S_o).*exp(-(z.^2)./(4.*L.*J));figure(2)plot(z,Cb,'LineWidth',2);x label('z (cm)')y label('C b (g/L)')title('Concentration of the solute in the fiber')grid on% C b(z)

For Discussion From the obtained plots, it can be observed that the flow rate in each fiber is maximum at the inlet of the module and it decreases gradually as the fluid passes through the fibers.

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