When forming an ionic bond, we expect La to adopt a charge of +3.
Lanthanum (La) is a metallic element with an atomic number of 57. When forming an ionic bond, it loses three electrons from its outermost energy level, resulting in a cation with a charge of +3. The loss of electrons occurs because La has three electrons in its outermost shell, and it is energetically favorable for it to lose these electrons and achieve a stable configuration. Therefore, when forming an ionic bond, La is likely to lose three electrons and adopt a charge of +3.
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Two technicians are explaining what exhaust gas emissions tell you about engine operation. Technician A says that the higher the level of CO2 in the exhaust stream, the more efficiently the engine is operating. Technician B says that CO2 levels of 20 to 25 percent are considered acceptable. Who is correct?
A. Both Technicians A and B
B. Neither Technicians A and B
C. Technician A
D. Technician B
Technicians A is correct in the given scenario. The correct option is C.
What is exhaust gas?Exhaust gas is a byproduct of combustion that exits the tailpipe of an internal combustion engine.
It consists of a gas mixture that includes carbon dioxide (CO2), carbon monoxide (CO), nitrogen oxides (NOx), hydrocarbons (HC), and particulate matter (PM).
Technician B is mistaken. CO2 levels in the exhaust should be less than 15%, preferably between 13% and 14.5% for petrol engines and 11% to 13% for diesel engines.
High CO2 levels can actually indicate inefficient engine operation, as it means that not all of the fuel in the engine is being burned and is being wasted as exhaust.
Thus, C is the correct answer. A technician is correct.
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Technician A says that forma hardened steel may have different strenght áreas. Technician B says that aluminum collapses in a predictable way. Who is right
Technician B is correct because the way aluminum collapses can be predicted.
Hardened steel and aluminum are two metals used for different purposes including:
Construction.Appliances.Small utensils.Airplanes.Vehicles.These two materials have slightly different features in terms of resistance, flexibility, etc.
In the case of hardened steel, this is considered to be malleable but strong. This means it is possible to change its shape under some conditions but it can resist great forces and pressure. Moreover, if the hardening process is carried out properly all the areas should be equally strong.
On the other hand, aluminum is recognized due to its durability and for being lighter than other materials. Despite this, aluminum is more flexible than steel and collapses under weaker forces. This has been widely studied because aluminum collapse shows a predictable pattern.
Based on this, only technician B is correct.
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In an analog addressable system, the determination of the alarm state is performed by the _____?
Answer:
Control panel
Explanation:
The Control Panel is a component of Microsoft Windows which provides the ability to view and change system settings. It consists of a set simple computer programs (applets) that include adding or removing hardware and software, controlling user accounts, changing accessibility options, and accessing networking settings.
__ strength is a measure of the maximum stress that a material can resist under tensile stress
Tensile strength is a measure of the maximum stress that a material can resist under tensile stress.
The strength of a material is a measure of its ability to withstand external forces without breaking or deforming. It is usually expressed as the maximum stress that a material can withstand before it fails. In the case of tensile strength, this refers to the maximum stress that a material can resist under tension, which is when a force is applied to pull it apart.
Tensile strength is an important property to consider when selecting materials for engineering applications. The tensile strength of a material can be determined through a variety of tests, including the tensile test, where a sample of the material is subjected to tension until it breaks.
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which microphone preamplifier input impedance would be best for a microphone that has an output impedance of 100 ohms?
A microphone preamplifier with an input impedance of 1,000 ohms would be best for a microphone that has an output impedance of 100 ohms.
What is microphone preamplifier?
The electronic circuitry found inside a microphone or a different object or circuit to which the microphone is linked can both be referred to as microphone preamplifiers. The microphone preamplifier serves the same role in either scenario. A microphone preamplifier is a piece of sound engineering gear that gets a microphone signal ready for other gear to handle. Frequently, microphone signals are too weak to be adequately conveyed to equipment like mixing consoles and recording devices. Preamplifiers boost a microphone signal to line level by offering steady gain and reducing generated noise, which would otherwise cause the signal to be distorted. See Gain stage for more discussion on signal level. Informally, a microphone preamplifier is referred to as a mic preamp, micamp, preamp, mic pre, and pre.
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a) for plain carbon steel with 1 wt% carbon content at 900 C on average how many carbon atoms can you find in 100 unit cells? b) If this alloy is cooled to just below 727 C on average how many carbon atoms can you find in 100 unit cells in the Ferrite phase?
Need help with part b. For part a) I got 4.6% or 5 carbon for 95 iron.
On average, you can find 2 carbon atoms in 100 unit cells in the Ferrite phase when the alloy is cooled to just below 727°C.
b) We need to consider that at temperatures below 727°C, plain carbon steel is in the Ferrite phase (α-Fe), which has a BCC (body-centered cubic) structure. In this phase, carbon solubility in iron is very limited, and the maximum solubility is approximately 0.022 wt%.
Since we are considering 100 unit cells, we will calculate the number of carbon atoms based on the reduced solubility:
1. Convert the 0.022 wt% solubility to atomic percent: (0.022 wt% C) / (0.022 wt% C + 99.978 wt% Fe) x 100 = 0.022 atomic % C
2. Calculate the number of carbon atoms in 100 unit cells: (0.022 atomic % C) x (100 unit cells) = 2.2 carbon atoms
Since we cannot have a fraction of an atom, we'll round this number down to the nearest whole number which is 2 carbon atoms.
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the last layer of framing almost always spans in what direction?
The last layer of framing in construction typically spans horizontally.
In construction, the last layer of framing, often referred to as the sheathing or decking, is typically installed horizontally. This means that the framing members, such as floor joists, roof trusses, or wall studs, are laid out parallel to the ground or the intended direction of the load-bearing structure. Horizontal framing provides stability and structural integrity to the building by distributing the load evenly across the framing members. It allows for better weight distribution, reduces the risk of sagging or buckling, and provides a solid base for the subsequent layers of construction, such as insulation, cladding, or roofing materials. Additionally, horizontal framing allows for easier installation of interior finishes, such as drywall or paneling, as they can be attached directly to the horizontal framing members.
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A certain room measures 4.5 m x 3 m x 2.5 m. (a) Compute the thermal capacitance of the room air using the properties: specific heat cp= 1000 J/kg℃, density rho= 1.23 kg m−3. (b) How much energy is required to raise the air temperature from 20◦C to 25◦C, neglecting heat transfer to the walls, floor, and ceiling?
(a)The thermal capacitance of the room air is the amount of heat required to increase the temperature of the air inside the room by one degree Celsius. It is given by the product of the mass of the air and its specific heat capacity.Cp = 1000 J/kg℃Density of air, ρ = 1.23 kg/m3Volume of the room, V = 4.5 m x 3 m x 2.5 m = 33.75 m3Mass of air inside the room, m = ρV= 1.23 kg/m3 x 33.75 m3 = 41.51 kg, thermal capacitance, C = m x Cp = 41.51 kg x 1000 J/kg℃ = 41510 J/℃
(b)The amount of energy required to raise the air temperature from 20℃ to 25℃ can be calculated using the formula:Q = mcΔTwhere Q is the amount of energy required, m is the mass of air inside the room, c is the specific heat capacity of air, and ΔT is the change in temperature.Q = mcΔT= 41.51 kg x 1000 J/kg℃ x (25℃ - 20℃)= 207550 J (Answer)Therefore, 207550 J of energy is required to raise the air temperature from 20℃ to 25℃, neglecting heat transfer to the walls, floor, and ceiling.
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In python
Write an expression that executes the loop body as long as the user enters a non-negative number.
Note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds and report "Program end never reached." The system doesn't print the test case that caused the reported message.
Sample outputs with inputs: 9 5 2 -1
Body
Body
Body
Done.
Answer:
inputed = input("Choose some numbers, each separated with a space: ")
chosen = list(inputed)
chosen = chosen.remove(' ')
for value in chosen:
if '-' not in value:
print(Body)
else:
print(Done)
break
Explanation:
The for loop will go through every value in the list (your numbers) and check if it is positive or negative.
what maximum output would you expect from a wind turbine with a blade of diameter 20 ft. in a 15-mph wind? choose the best answer.
Hi! To calculate the maximum output you would expect from a wind turbine with a blade diameter of 20 ft. in a 15-mph wind, we need to use the formula for the power generated by a wind turbine:
Power = 0.5 × Air Density × Swept Area × Coefficient of Performance × Wind Speed^3
Step 1: Convert wind speed from mph to m/s
15 mph ≈ 6.7056 m/s (1 mph ≈ 0.44704 m/s)
Step 2: Calculate the swept area of the turbine
Swept Area = π × (Blade Diameter / 2)^2 = π × (20 ft / 2)^2
Convert feet to meters: 20 ft ≈ 6.096 m
Swept Area ≈ 29.39 m^2
Step 3: Use standard air density
Air Density ≈ 1.225 kg/m^3
Step 4: Use the maximum value for the coefficient of performance (Cp) according to Betz's law
Coefficient of Performance (Cp) ≈ 0.59
Step 5: Plug in the values and solve for power
Power ≈ 0.5 × 1.225 × 29.39 × 0.59 × (6.7056)^3 ≈ 1,266.64 Watts
The maximum output you would expect from a wind turbine with a blade diameter of 20 ft. in a 15-mph wind is approximately 1,266.64 Watts.
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The three main principles in engineering design are:
The three main principles in engineering design are: strategic balance, top management approach and team work.
What does principles in engineering design means?The principles are fundamental concepts that engineers use to develop effective solutions to complex problems. These principles are based on scientific and mathematical principles as well as practical considerations related to the materials, technologies and resources available to the engineer.
The engineering design process involves several stages, including problem identification, research, concept development, prototyping and testing. Throughout each stage, engineers apply various principles to ensure that their designs meet the needs and requirements of the intended users.
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Assuming a linear speed-density relationship, the mean free-flow speed is observed to be 60 mph near zero density, and the corresponding jam density is about 120 vpm.
[a] (5 points) write down the speed-density and flow-density equations. What is the maximum flow rate (i.e., capacity)?
[b] (5 points) Draw the u-k (speed-density) and q-k(flow-density) diagrams and indicate critical values.
[c](5 points) Compute the possible speeds and densities corresponding to a flow rate of 1000 vph, describing traffic conditions from a driver’s point of view.
[d] (5 points) Compute the average headway and spacing at the maximum flow rate.
[a] The maximum flow rate is q_max = 60 mph x 120 vpm = 7200 vph.
[b] The u-k diagram is a downward sloping line, and the q-k diagram is a curve with maximum flow rate at the jam density k_jam.
[c] For a flow rate of 1000 vph, the corresponding density is 16.67 vpm and the speed is 45 mph.
[d] The average headway is 0.5 seconds/vehicle, and the spacing is 0.00833 miles/vehicle at the maximum flow rate.
How we Calculated?[a] The speed-density equation is: u = u_max x (1 - k/k_jam), where u is the speed, u_max is the maximum free-flow speed (60 mph in this case), k is the density, and k_jam is the jam density (120 vpm in this case).
The flow-density equation is: q = u x k, where q is the flow rate.
To determine the maximum flow rate (capacity), we substitute the maximum density into the flow-density equation:
q_max = u_max x k_jam
[b] The u-k diagram (speed-density) is a linear downward sloping line starting from u_max at k = 0 and approaching zero speed at k = k_jam.
The q-k diagram (flow-density) is a curve that starts at zero flow at k = 0, increases linearly with increasing density until reaching the maximum flow rate (capacity) at k = k_jam, and then decreases again as density continues to increase.
The critical values on the u-k and q-k diagrams are the points where the flow rate is maximized and the speed is minimized, which occur at the jam density k_jam.
[c] To compute the possible speeds and densities corresponding to a flow rate of 1000 vph (vehicles per hour), we rearrange the flow-density equation:
k = q / u
Substituting the given flow rate of 1000 vph and the maximum speed of 60 mph:
k = 1000 vph / 60 mph = 16.67 vpm
To determine the corresponding speed, we use the speed-density equation:
u = u_max x (1 - k/k_jam) = 60 mph x (1 - 16.67 vpm / 120 vpm) = 45 mph
Therefore, for a flow rate of 1000 vph, the corresponding density is 16.67 vpm and the speed is 45 mph.
[d] The average headway (h) is the inverse of the flow rate: h = 1 / q_max.
Substituting the maximum flow rate (capacity) of q_max = u_max x k_jam = 60 mph x 120 vpm = 7200 vph:
h = 1 / 7200 vph = 0.000139 hours/vehicle = 0.5 seconds/vehicle.
The spacing (s) is the inverse of the density: s = 1 / k_jam.
Substituting the jam density of k_jam = 120 vpm:
s = 1 / 120 vpm = 0.00833 miles/vehicle.
Therefore, at the maximum flow rate, the average headway is 0.5 seconds/vehicle and the spacing is 0.00833 miles/vehicle.
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va rog am repede in 5 min
Answer:
do u speak english
Explanation:
what do find interesting about engineering
A career in engineering is interesting and fun. It involves a lifetime of continuous learning to adapt to changes in society and the natural world. It often involves working in multi-disciplinary, multi-cultural, multi-site teams.
el protozoos es del reino protista?
Answer: Si (Yes)
Explanation:
Answer:
Protozoario o protozoo es un organismo unicelular y eucariota (con núcleo celular definido) perteneciente al Reino protista. Los protozoarios se encuentran junto con los protófitos o algas simples, generalmente acuáticas, dentro del Reino protista o también denominado Reino protoctista.
Explanation:
1 atm can be approximated to be 14.7 psi. if a tire's gage pressure is 100 psi, what is its corresponding absolute pressure? multiple choice question. 300 psi 114.7 psi 200 psi 85.3 psi 214.7 psi
The corresponding absolute pressure of a tire with a gauge pressure of 100 psi is 114.7 psi. Hence, option (b) is the correct answer.
In the context of tires, absolute pressure refers to the total pressure inside the tire, including both the pressure from the compressed air and the atmospheric pressure. When inflating a tire, the pressure gauge typically measures the absolute pressure.It's important to note that when discussing tire pressure, it is common to refer to the gauge pressure, which is the pressure above atmospheric pressure. For example, if the gauge reads 32 psi (pounds per square inch), it means the tire pressure is 32 psi above the atmospheric pressure.Maintaining the appropriate tire pressure is crucial for vehicle safety, optimal performance, and tire longevity.
To solve this question :
This is calculated by adding the :
atmospheric pressure = 1 atm or 14.7 psi to
the gauge pressure = 100 psi
= 100 psi + 14.7 psi = 114.7 psi.
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Heat air rises, cools then falls. Air near heat is replaced by cooler air and the cycle repeats
Refrigerant-134a at 1 MPa and 100 C is to be cooled to 1 MPa and 28 C in a condenser by air. The air enters at 125 kPa and 25 C with a mass flow rate of 697 kg/min and leaves at 97 kPa and 58 C. Determine the mass flow rate of the refrigerant. Assume air has a constant heat capacity determined at room temperature. Report the mass flow rate of the refrigerant in kg/min with one decimal digit, for example 95.3 or 105.6.
Explain what the ancient Romans did to solve the problem in the following scenario.
Situation: In ancient Italy, farmers were experiencing a drought. Rather than move to where the water was, Roman inventors decided to bring the water to the farmers.
Answer:
They moved fresh water around their vast empire with aqueducts and canals.
Explanation:
1. (15) A truck scale is made of a platform and four compression force sensors, one at each corner of the platform. The sensor itself is a short steel cylinder, 22 mm in diameter. A single stain gauge is pre-stressed to 3% strain and bonded on the outer surface of the cylinder. The strain gauges have a nominal resistance (before pre-stressing) of 340 Ohms and a gauge factor of 6.9. The steel used for the cylinders has a modulus of elasticity of 30 GPa. Calculate: a. The maximum truck weight that the scale can measure. b. The change in resistance of the sensors for maximum weight. c. The sensitivity of the scale assuming the response of the strain gauges is linear.
Answer:
a). 139498.24 kg
b). 281.85 ohm
c). 10.2 ohm
Explanation:
Given :
Diameter, d = 22 m
Linear strain, \($\epsilon$\) = 3%
= 0.03
Young's modulus, E = 30 GPa
Gauge factor, k = 6.9
Gauge resistance, R = 340 Ω
a). Maximum truck weight
σ = Eε
σ = \($0.03 \times 30 \times 10^9$\)
\($\frac{P}{A} =0.03 \times 30 \times 10^9$\)
\($P = 0.03 \times 30 \times 10^9\times \frac{\pi}{4}\times (0.022)^2$\)
= 342119.44 N
For the four sensors,
Maximum weight = 4 x P
= 4 x 342119.44
= 1368477.76 N
Therefore, weight in kg is \($m=\frac{W}{g}=\frac{1368477.76}{9.81}$\)
m = 139498.24 kg
b). Change in resistance
\(k=\frac{\Delta R/R}{\Delta L/L}\)
\($\Delta R = k. \epsilon R$\) , since \($\epsilon= \Delta L/ L$\)
\($\Delta R = 6.9 \times 0.03 \times 340$\)
\($\Delta R = 70.38 $\) Ω
For 4 resistance of the sensors,
\($\Delta R = 70.38 \times 4 = 281.52$\) Ω
c). \($k=\frac{\Delta R/R}{\epsilon}$\)
If linear strain,
\($\frac{\Delta R}{R} \approx \frac{\Delta L}{L}$\) , where k = 1
\($\Delta R = \frac{\Delta L}{L} \times R$\)
\($\Delta R = 0.03 \times 340$\)
\($\Delta R = 10.2 $\) Ω
The standard procedure for dimensioning the location of a house on a site is to dimension ____ of the house from adjacent lot lines. A one side b two sides c two corners d one corner
Answer:
One corner ( D )
Explanation:
when dimensioning the location of a house on site the standard and the acceptable procedure is to ; Dimension One corner of the house
Adjacent lots is a term used to describe parcels of the site that meet each other along their boundary lines. and they also include parcels that may be separated by streets
2. Using ordinary-temperature sprinklers, the coverage area under the area/density
method for a given calculated Extra-Hazard system is 4,000 sq. ft. If high-
temperature sprinklers are used, the coverage area will be 4,000 sq. ft.
A. True
B. False
If high-temperature sprinklers are used, the coverage area will be 4,000 sq. ft: False.
What is a sprinkler?A sprinkler can be defined as a mechanical device with a lot of small holes that is typically attached to the end of a hose, in order to put off flames or fire by spraying water at the burning physical object or structure.
According to the report by the National Fire Protection Association, we can infer and logically deduce that it is false to state that the coverage area will be 4,000 square feet (3720square meters) when high-temperature sprinklers are used.
In conclusion, the coverage area per sprinkler head for areas with a high concentration of flammable materials (extra hazard 1 & 2) is 90 - 130 square feet.
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Charles knows that adding salt to water causes the freezing point of water to be lowered, but he wants to know if rock salt affects the freezing point more than table salt.
Charles performed an investigation in his classroom in which he measured the freezing point of 250 mL of water. He used this measurement as his control. Then, he dissolved equal amounts of rock salt and table salt in two identical 250 mL beakers of water. Finally, he measured the freezing points of each beaker of water, analyzed his results, and formed a conclusion.
What type of investigation did Charles perform?
Since Charles performed an investigation in his classroom in which he measured the freezing point of 250 mL of water, the type of investigation that Charles perform is known as option C: laboratory experiment.
What is a laboratory experiment?The term Laboratory experiments is known to be a term that connote any for of research method which is one where researchers are known to make controllable environments so that they can be able to test hypotheses.
Note that Laboratories are known to be used for academic research such as rooms or specifically set up spaces.
Therefore, based on the above, one can say that since Charles performed an investigation in his classroom in which he measured the freezing point of 250 mL of water, the type of investigation that Charles perform is known as option C: laboratory experiment.
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Charles knows that adding salt to water causes the freezing point of water to be lowered, but he wants to know if rock salt affects the freezing point more than table salt. Charles performed an investigation in his classroom in which he measured the freezing point of 250 mL of water. He used this measurement as his control. Then, he dissolved equal amounts of rock salt and table salt in two identical 250 mL beakers of water. Finally, he measured the freezing points of each beaker of water, analyzed his results, and formed a conclusion. What type of investigation did Charles perform? A. observational field study B. collection of specimens C. laboratory experiment D. model-building
handy hank’s fasteners sells generic products, like nails, screws, and glue, among other things (not serialized). what is the maximum cardinality between each instance of "customer " and "product"?
The largest amount of data objects that can take part in a relationship instance, access to a much larger pool of prospective customers.
What does "customer" mean to you?An individual or corporation that purchases products or services from another company is known as a customer. Consumers are crucial to businesses because they generate income; without them, they would cease to exist. If no possessive signal is required, avoid using an apostrophe. Apostrophes can also be employed to denote missing words or contractions by placing a "s" after them.
How do you categorize your clients?
Your consumer groups can be segmented using demographic, psychographic, technological, behavioral, needs-based, or value-based approaches. These models may be used separately or in combination to categorize clients into different groups that share characteristics.
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The safety risks are the same for technicians who work on hybrid electric vehicles (HEVs) or EVs as those who work on conventional gasoline vehicles.
Answer:
Batteries are safe when handled properly.
Explanation:
Just like the battery in your phone, the battery in some variant of an electric car is just as safe. If you puncture/smash just about any common kind of charged battery, it will combust. As long as you don't plan on doing anything extreme with the battery (or messing with high voltage) you should be fine.
The safety risks are the same for technicians who work on hybrid electric vehicles (HEVs) or EVs as those who work on conventional gasoline vehicles: False.
Safety risks can be defined as an assessment of the risks and occupational hazards associated with the use, operation or maintenance of an equipment or automobile vehicle that is capable of leading to the;
Harm of a worker (technician).Injury of a worker (technician).Illness of a worker (technician).Death of a worker (technician).Hybrid electric vehicles (HEVs) or EVs are typically designed and developed with parts or components that operates through the use of high voltage electrical systems ranging from 100 Volts to 600 Volts. Also, these type of vehicles have an in-built HEV batteries which are typically encased in sealed shells so as to mitigate potential hazards to a technician.
On the other hand, conventional gasoline vehicles are typically designed and developed with parts or components that operates on hydrocarbon such as fuel and motor engine oil. Also, conventional gasoline vehicles do not require the use of high voltage electrical systems and as such poses less threat to technicians, which is in contrast with hybrid electric vehicles (HEVs) or EVs.
This ultimately implies that, the safety risks for technicians who work on hybrid electric vehicles (HEVs) or EVs are different from those who work on conventional gasoline vehicles due to high voltage electrical systems that are being used in the former.
In conclusion, technicians who work on hybrid electric vehicles (HEVs) or EVs are susceptible (vulnerable) to being electrocuted to death when safety risks are not properly adhered to unlike technicians working on conventional gasoline vehicles.
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Air expands through a turbine from 8 bar, 960 K to 1 bar, 450 K. The inlet velocity is small compared to the exit velocity of 90 m/s. The turbine operates at steady state and develops a power output of 2500 kW. Heat transfer between the turbine and its surroundings and potential energy effects are negligible. Modeling air as an ideal gas, calculate the mass flow rate of air and the exit area.
This question is incomplete, the missing diagram is uploaded along this answer below.
Answer:
- The mass flow rate of air is 4.59 kg/s
- Area of the exit turbine is 0.066 m²
Explanation:
Given the data in the question;
Using air as an ideal gas.
Turbine;
state 1: p₁ = 8 bar, T₁ = 960 K
state 2: p₂ = 1 bar, T₂ = 450 K
The inlet velocity is small compared to the exit velocity of 90 m/s
V₁ < V₂ = 90 m/s
Power of turbine W' = 2500 kW
Now, lets assume Q = 0 and ΔPE = 0
we know that; R = 0.2870 kJ/kg-K
Also. \(C_p\) at 700K = 1.075 kJ/kg-K
Now, using ideal gas law;
STATE1
v₁ = RT₁/p₁
so we substitute
v₁ = [(0.2870 kJ/kg-K)(960 K)/(8 bars )]|\(\frac{bar}{10^5N/m^2}\)||\(\frac{1000N.m}{kJ}\)| = 0.344 m³/kg
STATE2
v₂ = RT₂/p₁
we substitute
v₂ = [(0.2870 kJ/kg-K)(450 K)/(1 bars )]|\(\frac{bar}{10^5N/m^2}\)||\(\frac{1000N.m}{kJ}\)| = 1.2915 m³/kg
Now, from energy balance steady state;
0 = Q" - W" + \(m"_i\)( \(h_i\) + \(\frac{V_i^2}{2}\) + \(gz_i\)) - \(m"_B\)( \(h_B\) + \(\frac{V_B^2}{2}\) + \(gz_B\))
since we initially assume Q = 0 and ΔPE = 0
hence;
0 = \(-\frac{W"}{m"}\) + h₁ + \(\frac{V_1^2}{2}\) - h₂ + \(\frac{V_2^2}{2}\)
\(\frac{W"}{m"}\) = h₁ + \(\frac{V_1^2}{2}\) - h₂ + \(\frac{V_2^2}{2}\)
⇒ \(\frac{W"}{m"}\) = \(C_p\)(T₁ - T₂) + \(\frac{1}{2}\)( V₁² - V₂²)
we solve for m"
m" = W" / (\(C_p\)(T₁ - T₂) + \(\frac{1}{2}\)( V₁² - V₂²))
so we substitute;
m" = {[2500 kW] / [(1.075kJ/kg-K(960K - 450k) + \(\frac{1}{2}\)( (0)² - (90 m/s)²)) |kJ/1000N.m| |N/kg.m/s²|]} | kJ/s / kW|
m" = 4.59 kg/s
Therefore, the mass flow rate of air is 4.59 kg/s
From the mass body steady state;
0 = m"₁ - m"₂
so
m"₁ = m"₂ = 4.59 kg/s
now, the volumetric flow rate V"₂ will be;
V"₂ = m" × v₂
we substitute
V"₂ = 4.59 kg/s × 1.2915 m³/kg = 5.93 m³/s
and
the volumetric flow rate V"₂ = A₂V₂
so;
Exit Area A = V"₂ / V₂
we substitute
A = (5.93 m³/s ) / (90 m/s)
A = 0.06589 ≈ 0.066 m²
Therefore, Area of the exit turbine is 0.066 m²
At steady state, air at 200 kPa, 325 K, and mass flow rate
of 0.5 kg/s enters an insulated duct having differing inlet
and exit cross-sectional areas. The inlet cross-sectional area is
6 cm26cm
2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy
effects and modeling air as an ideal gas with constant cp=1.008 kJ/kg⋅Kc
p =1.008kJ/kg⋅K, determine
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm2
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm
A) Describe factor substitution with respect to building heights. Be sure to explain at least two reasons why office buildings (with extra benefits from proximity) tend to "build up" rather than build out. B) A key assumption for being able to model building heights is that building a taller building increases the cost per square foot (the second floor is more expensive to construct than the first floor, ect.) What sort of strange result would we predict if this was not the case? ("Building up" got cheaper per floor with each floor constructed)?
A) Factor substitution: replacing factors of production for desired outcomes, like building taller or expanding horizontally in limited urban land.
B) Cheaper per floor: no height limit incentive, leading to excessively tall structures and inefficient resource allocation.
A) Factor substitution refers to the decision-making process where factors of production, such as land and capital, are substituted for one another to achieve a desired outcome. In the context of building heights, it relates to the trade-off between constructing taller buildings (building up) versus expanding horizontally (building out).
One reason office buildings tend to "build up" is the limited availability of land in urban areas. Cities often have limited space for new construction, leading to higher land costs. By constructing taller buildings, developers can maximize the utilization of limited land resources and accommodate more office space within a smaller footprint.
Another reason is the benefit of proximity. In urban environments, being close to other businesses, amenities, transportation, and potential clients is advantageous. Building up allows office buildings to take advantage of centralized locations and create a concentration of economic activity. This proximity can lead to increased collaboration, networking opportunities, and accessibility, which are beneficial for businesses.
B) If the assumption that building a taller building increases the cost per square foot were not valid and instead "building up" became cheaper per floor with each floor constructed, a strange result would be observed. In such a scenario, there would be no economic incentive to limit the height of buildings. Developers would have a strong incentive to keep building higher and higher, as each additional floor would cost less per square foot compared to the previous ones.
This could lead to extremely tall buildings with a large number of floors, possibly surpassing the practical and engineering limits. The skyline of cities would be dominated by excessively tall structures, even if there was no corresponding increase in demand or economic justification. The lack of increasing costs per floor would disrupt the typical cost-benefit trade-off associated with building heights and result in an inefficient allocation of resources.
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_____ draft is a mechanical draft created by air pulled through the boiler firebox by a blower located in the breaching after the boiler.
Answer:
Induced draft is a mechanical draft created by air pulled through the boiler firebox by a blower located in the breaching after the boiler.
Explanation:
Maximize the Revenue There are n types of items in a shop, where the number of items of type i is denoted by quantity[i]. The price of the items is determined dynamically, where the price of the i th item is equal to the remaining number of items of type i . There are m customers in line to buy the items from the shop, and each customer will buy exactly one item of any type. The shopkeeper, being greedy, trfes to sell the items in a way that maximises revenue. Find the maximum amount the shopkeeper can earn by selling exactly m items to the customers optimally.
Subtract your costs from the possible sales and supply of your products to arrive at your maximum amount.
How do you calculate the maximum profit made?Subtract your costs from the possible sales and supply of your products to arrive at your maximum profit.In the event that increasing income is similar,In other words, by setting marginal revenue to zero, which occurs at the maximum level of output, one may find the quantity and price that maximises profits. When the total revenue curve reaches its maximum value, marginal revenue is equal to zero.The amount where the disparity between total revenue and total cost is greatest will yield the highest profit. A completely competitive company, such as the raspberry farm, can determine the amount of output that will yield the maximum level of profit based on its total revenue and total cost curves.To learn more about maximum amount refer to:
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