The gain (V/V) at a frequency of 0.19 kHz is 0.01889. The given transfer function is: H(w) = jw/(jw+1000)
Gain at a frequency of 0.19 kHz is to be determined.Converting the transfer function from complex form to magnitude form, we get:H(w) = |H(w)| exp(j θ)H(w) = [w/√(w² + 10^6)] exp(j θ)Magnitude, |H(w)| = [w/√(w² + 10^6)]At a frequency of 0.19 kHz
The given transfer function is:H(w) = jw/(jw+1000)Gain at a frequency of 0.19 kHz is to be determined.Converting the transfer function from complex form to magnitude form, we get:H(w) = |H(w)| exp(j θ)H(w) = [w/√(w² + 10^6)] exp(j θ)Magnitude, |H(w)| = [w/√(w² + 10^6)]At a frequency of 0.19 kHz = 190 rad/s, we get|H(190)| = [190/√(190² + 10^6)]|H(190)| = 0.01889Gain, V/V = |H(190)|V/V = 0.01889 (Rounded to 3 significant figures)
Therefore, the gain (V/V) at a frequency of 0.19 kHz is 0.01889.
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Who had launched the highest number of internet satellites as of March 2020?
Answer:
SpaceX
Explanation:
SpaceX successfully launches 60 more Starlink satellites as it continues towards 2020 service debut. SpaceX has launched another big batch of Starlink satellites, the low Earth orbit spacecraft that will provide connectivity for its globe-spanning high-bandwidth broadband internet network.
An engineer is tasked to design a combinational circuit with three inputs x, y, z and one output F to satisfy the following conditions: The output (F) is HIGH (1) only when majority of the inputs (x, y, z) are HIGH. The output (F) is LOW (0) otherwise. What is the logic equation (in minterm form) that best describes the solution?
a. Σ (3, 5, 6, 7)
b. Σ (4, 5, 6, 7)
c. Σ (2, 3, 6, 7)
d. Σ (1, 2, 3, 7)
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.'
Determine the largest load P that can be a applied to the frame without causing either the average normal stress or the average shear stress at section a-a to exceed σ = 160 MPa and τ = 60 MPa , respectively. Member CB has a square cross section of 26 mm on each side.
Answer:
(The diagram of the question is given in Attachment 1)
The largest load which can be applied is:
P=67.62 kN
Explanation:
Make a Free body Diagram:All the forces are shown in the diagram in Attachment 2.
Analyze the equilibrium of Joint C in Figure (a):∑ F(y)= 0 (Upwards is positive)
\(F_{BC}sin\theta-P=0\\\frac{4}{5}F_{BC} - P=0\\F_{BC}=\frac{5}{4}P\\\\F_{BC}=1.25P\)
Substitute F(BC) in Figure (b):
∑ F(x)= 0 (Towards Right is positive)
\(N_{a-a} - F_{BC}cos\theta=0\\N_{a-a}-1.25P(\frac{3}{5})=0\\N_{a-a}=0.75P\)
∑ F(y)= 0 (Upwards is positive)
\(F_{BC}sin\theta- V_{a-a}= 0\\(\frac{4}{5})1.25P-V_{a-a}=0\\V_{a-a}=P\)
Find Cross Sectional Area:
The cross sectional area of a-a:
\(A_{a-a}= \frac{(0.026)(0.026)}{3/5}\\A_{a-a}= 1.127\cdot10^{-3}\)
Find P from Normal Stress Equation:σ = N(a-a)/A(a-a)
Substitute values:
\(160\cdot10^6=\frac{0.75P}{1.127\cdot10^{-3}}\\P=240.42\cdot10^3 N\\P=240.42 kN\)
Find P from Shear Stress Equation:Т= V(a-a)/A(a-a)
Substitute values:
\(60\cdot10^6=\frac{P}{1.127\cdot10^{-3}}\\P=67.62\cdot10^{3}N\\P=67.62kN\)
Results:To satisfy both the condition, we have to choose the lower value of P.
P=67.62 kN
What musical form do you hear in Candle in the Wind?
g Three unequal point masses are attached to a vertical shaft with light rods. Two masses, m and 3m, are at a distance a from the shaft. The third mass, 2m, is at a distance 2a from the shaft. The three masses and the shaft rotate as a single unit about the vertical axis through the shaft. What is the moment of inertia of this system about the vertical axis
Answer:
12ma²
Explanation:
The moment of inertia I = ∑mr² where m = mass and r = distance from shaft
Since we have three masses,
So, I = m₁r₁² + m₂r₂² + m₃r₃² where m₁ = first mass = m, m₂ = second mass = 3m and m₃ = third mass = 2m. Also, r₁ = distance of first mass from shaft = a, r₂ = distance of second mass from shaft = a and r₃ = distance of third mass from shaft = 2a.
I = m₁r₁² + m₂r₂² + m₃r₃²
I = ma² + 3ma² + 2m(2a)²
I = ma² + 3ma² + 2m(4a²)
I = ma² + 3ma² + 8ma²
I = 12ma²
Which of the following affect the current carrying capacity of an electrical conductor? (Select the three that apply) O VoltageO Number of wires in the conduit O Insulation type O Material of the conductor O Power
The following have an effect on the present day sporting ability of an electrical conductor is Voltage, Insulation type, Power.
What is current carrying capacity?The maximum present day (in amperes) that an insulated conductor or cable can constantly deliver with out going over its temperature score is called its present day sporting ability. Amplification is any other call for it.A conductor that includes present day is one which usually conducts electricity.The electric resistance [R] of the electric conductor applied and the temperature that outcomes from that conductor relying on present day and surroundings are the bodily elements that decide a cable's cap potential to transmit present day. The maximum temperature at which the insulation applied is authorized to operate. The common length of a species' populace in a given habitat is known as sporting ability. Environmental factors which include sufficient food, shelter, water, and buddies are proscribing elements for the species populace.To analyze greater approximately present day sporting ability refer:
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4- Consider a refrigerator that consumes 320 W of electric power when it is running. If the refrigerator runs only one quarter of the time and the unit cost of electricity is $0.13/kWh, the electricity cost of this refrigerator per month (30 days) is (a) $4.9 (b) $5.8 (c) $7.5 (d) $8.3 (e) $9.7
The electricity cost of the refrigerator per month, running only one quarter of the time, is : option (a) $4.9.
The power consumed by the refrigerator, P = 320 W
Unit cost of electricity, C = $0.13/kWh
Let the time for which the refrigerator runs in a day = t.
The total time taken by the refrigerator for running in 30 days = 30t.
We know that,Energy consumed = power x time. Therefore,The energy consumed by the refrigerator in
30 days = P × 30t = 320 × 30t = 9600t Wh
The electricity cost for 1 kWh = $0.13
Therefore, the electricity cost for 9600t Wh = $0.13 × 9600t = 1248t cents
We know that, 100 cents = $1
Therefore, the electricity cost for 9600t Wh = 12.48t $For 24 hours, the refrigerator runs 1/4th of the time.So,
t = (1/4) × 24 = 6 hours = 0.25 days
Therefore, The energy consumed by the refrigerator in 30 days = 9600t Wh = 9600 × 0.25 Wh = 2400 Wh = 2.4 kWh
The electricity cost for 2.4 kWh = 2.4 × 0.13 = $0.312Therefore, the main answer is option (a) $4.9.
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In a sewage system he diameter at Section 1 is 16 inches and the diameter at Section 2 is 8 inches. The flow rate through the pipe is 6 cfs. The pressure at Section 1 is 50 psi. What is the pressure at Section 2
The pressure at Section 2 in the sewage system is the same as the pressure at Section 1, which is 50 psi.
To determine the pressure at Section 2, we can use the principle of conservation of energy in fluid flow, specifically Bernoulli's equation. Let's follow these steps:
Step 1: Understand the given information and variables:
- Diameter at Section 1: D1 = 16 inches
- Diameter at Section 2: D2 = 8 inches
- Flow rate through the pipe: Q = 6 cfs (cubic feet per second)
- Pressure at Section 1: P1 = 50 psi (pounds per square inch)
- Pressure at Section 2: P2 (to be determined)
Step 2: Convert the diameters from inches to feet:
Since the flow rate is given in cubic feet per second, it is essential to have all dimensions in consistent units. Convert the diameters from inches to feet by dividing them by 12.
D1 = 16 inches / 12 = 1.33 feet
D2 = 8 inches / 12 = 0.67 feet
Step 3: Calculate the areas of the pipe sections:
The cross-sectional area of a circular pipe can be calculated using the formula: A = (π/4) * D^2.
A1 = (π/4) * (1.33 feet)^2
A2 = (π/4) * (0.67 feet)^2
Step 4: Apply Bernoulli's equation:
Bernoulli's equation states that the total energy per unit weight of a fluid flowing in a pipe is constant along a streamline. It can be expressed as:
P1 + (ρg/144) + (V1^2/2g) = P2 + (ρg/144) + (V2^2/2g)
where:
P1 and P2 are the pressures at Sections 1 and 2, respectively
ρ is the fluid density (assumed to be constant)
g is the acceleration due to gravity
V1 and V2 are the velocities of the fluid at Sections 1 and 2, respectively
Since we are interested in comparing pressures, we can disregard the terms involving density and velocity. Therefore, the equation becomes:
P1 = P2
Hence, the pressure at Section 2 is equal to the pressure at Section 1, which is 50 psi.
To summarize, the pressure at Section 2 in the given sewage system is the same as the pressure at Section 1, which is 50 psi.
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A 300 N force is applied at A as shown. Determine (a) the moment of the 300 N force about D, (b) the magnitude and sense of the horizontal force applied at C that creates the same moment about D, (c) the smallest force applied at C that creates the same moment about D.
The magnitude and sense of the horizontal force applied is 333.60 N
What is meant by force applied ?Force exerted on an object by another object. An example of applied force is a person pushing a barrel. When the individual pushes the barrel, a force is applied to the barrel.
A contact force applied to an object by external means is referred to as an applied force. The object moves or deforms as a result of applied force.
Since C is horizontal C i =C
r = DC = (0.2m )i - (0.125 m )j
MD = r × Ci = C = (0.125 m )k
41.7 N m = (0.125 m )(C )
C = 333. 60 N
(c) The smallest force C must be perpendicular to DC; thus, it forms a with the vertical
tan α = 0.125m/0.2m
α = 32.0²
MD = C(DC);DC = √[(0.2m)²+(0.125m)²]
= 0.23585m
41.70 N = C (0.23585 m )
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If you deposit $ 1000 per month into an investment account that pays interest at a rate of 9% per year compounded quarterly.how much will be in your account at the end of 5 years ?assume no interpèriod compounding
Answer:
5,465.4165939453
Explanation:
formula
A=P(1+r/n)^n(t)
p=1000
r=0.09
n=4
t=5
2 points) what is the eeg frequency in each section? trace 1 sectionsfrequency (hz)trace 2 sectionsfrequency (hz) left, 0-1sleft, 0-1s left, 1-2sleft, 1-2s left, 2-3sleft, 2-3s right, 0-1sright, 0-1s right, 1-2sright, 1-2s right, 2-3sright, 2-3s
The waveforms delta (0.5 to 4Hz), theta (4 to 7Hz), alpha (8 to 12Hz), sigma (12 to 16Hz), and beta are among the most frequently researched waveforms (13 to 30Hz).
What are the EEG's frequency ranges?EEG frequency patterns can be divided into four categories: beta (14–30 Hz), alpha (8–13 Hz), theta (4–7 Hz), and delta (1-3 Hz). In general, when the frequency drops, the EEG's amplitude rises. Each of the four EEG frequencies corresponds to a distinct degree of cerebral cortex arousal.
How can you determine an EEG's frequency?The frequency is then calculated by taking I and dividing it by the duration, which in this case results in a 5Hz wave. the amount of analogue millimetres in a second.
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If the piston in problem 3 had an input of 50 psi, what would the total amount of work performed by one piston be?
Answer:
Applied pressure on piston (P) = 50 psi. We know that work done is given by W = Force x displacement. S Force = Pressure x Areas > W = ( PXA ) X L W = PX ( AL ) W = PX AV = 50x 43.7088. W= 2185.
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A hot steam pipe having an inside surface temperature of 250 °C has an inside diameter of 8 cm and a wall thickness of 5. 5 mm. It is covered with a 9-cm layer of insulation having k=0. 5W/m·°C, followed by a 4-cm layer of insulation having k=0. 25 W/m·°C. The outside temperature of the insulation is 20 °C. Calculate the heat lost per meter of length. Assume k=47 W/m·°C for the pipe. \
The total heat lost per meter of length can be calculated by adding the heat transfers through the pipe, the first layer of insulation, and the second layer of insulation: Heat lost per meter of length = Q1 + Q2 + Q3.
Heat transfer through the pipe:The heat transfer through the pipe can be calculated using the formula: Q1 = (2 * π * k1 * L * (T1 - T2)) / ln(r2 / r1) Q1 is the heat transfer through the pipe per meter of length.π is a mathematical constant (approximately 3.14).k1 is the thermal conductivity of the pipe material (47 W/m·°C).L is the length of the pipe.T1 is the inside surface temperature of the pipe (250 °C).T2 is the outside surface temperature of the pipe (20 °C).r1 is the inside radius of the pipe (half of the inside diameter, 8 cm).r2 is the outside radius of the pipe (r1 + wall thickness, 8 cm + 0.055 cm).
Heat transfer through the first layer of insulation:The heat transfer through the first layer of insulation can be calculated using the formula: Q2 = (2 * π * k2 * L * (T2 - T3)) / ln(r3 / r2)
Where: Q2 is the heat transfer through the first layer of insulation per meter of length.k2 is the thermal conductivity of the first layer of insulation (0.5 W/m·°C).T3 is the outside surface temperature of the first layer of insulation (20 °C). r3 is the outside radius of the first layer of insulation (r2 + 9 cm).The total heat lost per meter of length can be calculated by adding the heat transfers through the pipe, the first layer of insulation, and the second layer of insulation:Heat lost per meter of length = Q1 + Q2 + Q3.
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how to calculate the critical path
Answer:
Explanation:
The critical path is the longest path through a project network diagram, which includes all the activities that are critical to the completion of the project. In order to calculate the critical path, you will need to follow these steps:
Identify all the activities that need to be completed for the project.
Determine the duration of each activity. This can be estimated based on past experience or expert opinion, or by conducting time studies.
Create a network diagram that shows the sequence of activities and their dependencies. This can be done using software such as Microsoft Project or by drawing a diagram manually.
Identify the earliest start and finish times for each activity, based on the dependencies and durations.
Identify the latest start and finish times for each activity, based on the project deadline.
Calculate the total float or slack for each activity, which is the amount of time that an activity can be delayed without affecting the overall project completion date.
Identify the critical path, which is the longest path through the project network diagram that has zero total float or slack. This means that any delay in one of the activities on the critical path will cause a delay in the overall project completion date.
Once you have identified the critical path, you can focus your attention on managing and monitoring the activities on that path to ensure that the project stays on schedule.
To find the dimension of mechanical equipment on a project ,you would look?
In any mechanical project, calculating the measurements of the equipment is an essential task.
Why is this important?As a result, it is paramount to reference the numerical details outlined in either the drawings or specifications related to that endeavor.
Fundamentally, these documents comprise height, width, and length. If precise dimensions are not available, collaborating with mechanical engineers or equipment manufacturers could be beneficial.
Moreover, guarantee that the measurements harmonize with the conception and capacity of the project to keep away from probable superfluous installation or usefulness snags.
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Draw a radial power circuit arrangement containing 3 single fused sockets and 2 double unfused sockets showing the live, earth and neutral wiring
Answer:
Attached below is the Radial power circuit arrangement
Explanation:
Radial power circuit arrangement is done in a way that a single cable starts from the fuse box and connects to all the outlet socket contained in the circuit also the cable contains wires ( live , neutral and earth )
The advantage of a radial power circuit arrangement is that it enables easy identification of electrical faults on the circuit.
a grounding autotransformer is used to create a three-phase, 4-wire distribution system from a three-phase, 3-wire ungrounded system. at what percent must the overcurrent device be set to trip in case of an overload? nec section 450.5(a)(2)
A four-wire distribution system was created from a three-phase, three-wire ungrounded system. The percent must the overcurrent device be set to trip in case of an overload is 125% by nec section 450.5(a)(2).
What is termed as the grounding?Grounding autotransformers are zigzag or T-connected transformers that are connected to 3-phase, 3-wire ungrounded systems to create a 3-phase, 4-wire distribution system or to provide a neutral point for grounding purposes. If the load just on autotransformer extends or exceeds 125 percent of the its continuous current per-phase or neutral rating, an overcurrent sensing device shall be provided to open the main switch as well as common-trip overcurrent protection made reference to in 450.5(A)(2). Delayed tripping for temporary overcurrents detected at the autotransformer overcurrent device is permitted to allow proper operation of subsidiary or feeder protective devices just on 4-wire system.Thus, for a four-wire distribution system was created from a three-phase, three-wire ungrounded system. The percent must the overcurrent device be set to trip in case of an overload is 125% by nec section 450.5(a)(2).
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The quantity of bricks required increases with the surface area of the wall, but the thickness of a masonry wall does not affect the total quantity of bricks used in the wall
True or False
Answer:
false
Explanation:
why are single-element fuses particularly suited for the protection of circuit breakers with low interrupting ratings?
Answer: rate brainliest
Single-element fuses are particularly suited for the protection of circuit breakers with low interrupting ratings because they are designed to operate quickly and reliably under overload or short circuit conditions. This is important for circuit breakers with low interrupting ratings, as these devices may not be able to handle high currents without damaging themselves or causing other hazards. Single-element fuses are able to quickly interrupt the flow of current in the circuit, which can prevent the circuit breaker from being overloaded and help to protect the electrical system from damage.
Explanation:
If you can choose among three lanes on your side of the road,
a. pick the right lane for the smoothest driving
b. use the middle lane to drive slowly, enter, or turn off the road
c. use the left lane to go faster, pass, or turn left
h
a pb sn alloy contains 23% primary a and 77% eutectic microconstituent immediately after the eutectic reaction determine the composition of alloy
A Pb-Sn alloy contains 23% primary alpha phase (α) and 77% eutectic microconstituent immediately after the eutectic reaction.
How to determine the composition?
To determine the composition of the alloy, we will refer to the Pb-Sn phase diagram. The eutectic composition in this system is approximately 61.9% Sn and 38.1% Pb. Since the eutectic microconstituent makes up 77% of the alloy, the primary alpha phase (which is the Pb-rich phase) contributes the remaining 23%. By using a lever rule calculation, you can determine the exact composition of the alloy.
Therefore, the composition of the alloy immediately after the eutectic reaction is 0% alpha and 100% eutectic microconstituent.
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The maximum voltage in a cooling system should not exceed ______ volts.
Answer:2%
When the voltages between the three phases are not equal, the current increases dramatically in the motor winding's, and if allowed to continue, the motor will be damaged.
Explanation:
Condenser Functions and Desuperheat SUMMARY STATEMENT Describe why the compressor discharge lie emperature and why it does not follow the temperature and much hotter than the conde line is so pressure relationship. QUESTIONS the 1. What must be done to the hot gas leaving the compressor before it may be condensed?
To prepare the hot gas leaving the compressor for condensation, it needs to undergo a process called desuperheating, which involves reducing its temperature.
The hot gas discharged from the compressor is at a significantly higher temperature compared to the condenser line because of the compression process. When the refrigerant is compressed, its pressure and temperature increase. However, the pressure-temperature relationship does not hold true for the discharge line due to the presence of superheated gas. Superheated gas is a state where the refrigerant temperature is higher than its saturation temperature at a given pressure. To facilitate condensation, the hot gas leaving the compressor needs to be desuperheated. Desuperheating involves removing excess heat from the gas to bring its temperature closer to the saturation temperature for a particular pressure.
This is typically achieved by passing the gas through a desuperheater or heat exchanger, where it comes in contact with a cooling medium, such as air or water. The cooling medium absorbs heat from the gas, reducing its temperature. Desuperheating is an important step before condensation because it ensures that the refrigerant is at the appropriate temperature for efficient heat transfer in the condenser. If the hot gas were directly condensed without desuperheating, it could result in inadequate heat rejection, reduced efficiency, and potential damage to the condenser due to excessive heat load. Therefore, desuperheating helps optimize the overall performance and reliability of the refrigeration or air conditioning system.
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Which of the following is a basic type of weld? O Groove O Lap O Edge O Corner
Every month, Frank pays an $80 membership fee at a fitness
center so he can avail himself of the unlimited use
of its facilities. On average, he goes to the center 10 times
a month. What is the average cost of each trip he makes
to the center? What is the marginal cost of an additional
work-out session?
The average cost of each trip is $8 per trip while the marginal cost is $0
What is the Average and Marginal Cost?
We are given;
Monthly payment by Frank for Membership fees = $80
Number of times frank goes to the center monthly = 10 times
Thus, average cost is;
Average cost = Monthly payment/Number of visits in a month
Average Cost = $80/10
Average Cost = $8 per trip
The marginal cost is the change in total production cost that comes from making or producing one additional unit. However, in this question, his monthly pay covers an unlimited use of its facilities. Thus, there can be no marginal cost for an additional work-out session. Thus;
Marginal Cost = $0
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trevor moves a magnetic toy train away from a magnet that cannot move. what happens to the potential energy in the system of magnets during the movement?
Answer:a
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Which statement best describes how power and work are related?
O A. Power is the ability to do more work with less force.
O B. Power is a measure of how quickly work is done.
O C. Power and work have the same unit of measurement
O D. Power is the amount of work needed to overcome friction.
Pls answer quick
B
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(a) For BCC iron, calculate the diameter of the minimum space available in an octahedral site at the center of the (010) plane, and compare this to the diameter of a carbon atom. Assume that the iron atoms in the BCC structure are hard spheres that touch along the [111] direction.
(b) Compare the space available with the size of a carbon atom from Appendix C, and comment about the potential solubility of carbon in BCC iron in octahedral interstitial sites.
Answer:
a) diameter available = 0.0384 nm
b)The space is smaller than the carbon atom which has a radius of 0.077 nm and this simply means that the carbon atom will not conquer these sites
Explanation:
For BCC iron
From Appendix B given,select the lattice parameter ( a ) as = 0.2866 nm
The BCC iron has 4 atomic radii and therefore the body diagonal length = \(a(3)^\frac{1}{2}\)
expressing the atomic radius of the BCC iron
4r = \(a(3)^\frac{1}{2}\)
insert the value of (a) from appendix B which is = 0.2866 nm
4r = \(0.2866 nm (3)^\frac{1}{2}\)
therefore r = 0.4964 nm / 4 = 0.1241 nm
Refer again to appendix C given select the atomic radius of the BCC iron as = 0.1241 nm assuming the atomic radius of the iron are the same
then the radius ratio = 0.62
Refer to the Figure 3.2 given, the amount of space required for an interstitial at the BCC position is between the atoms at the FCC position and also in this space there are two atoms that are equal to a radius of 0.2482 nm
The diameter of the minimum space available
\(d_{a} = a - r_{a}\)
\(r_{a} = atomic radii\) = 0.2482 nm
a = 0.2666 nm
therefore
d\(_{a}\) = 0.2866 nm - 0.2482 nm = 0.0384 nm
comparing this to the diameter of a carbon atom
The space is smaller than the carbon atom which has a radius of 0.077 nm and this simply means that the carbon atom will not conquer these sites
Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years