Answer:
D. 539,000 J
Explanation:
The formula for potential energy(P.E) =mgh where m is mass of object, g is gravity acceleration 9.8 m/s² and h is height in meters.
From the question ;
m=500 kg
g= 9.8 m/s²
h= 110 m
P.E = mgh
= 500*9.8*110
=539,000 J
Answer option D
The other options are incorrect because the calculated values for the potential energy of the train are not equal to 539,000 J.
A 75,000 ft3 clarifier is to be used to treat wastewater. The recycle ratio is 50%, the sludge volume index (SVI) is 125, and the return activated sludge concentration is 8000 mg/L. The biomass concentration is 3500 mg/L. The combined design flow rate of the primary and secondary clarifiers is 2.5 MGD. After primary treatment, the wastewater has an influent BOD concentration of 200 mg/L and an influent suspended solids concentration of 200 mg/L. Two secondary clarifiers, each 28 ft in diameter, are then used. After secondary treatment, the effluent BOD concentration is 15 mg/L, and the effluent suspended solids concentration is 20 mg/L. The volume of sludge produced is 0.5 MGD. What is most nearly the solids residence time
Answer:
11 hours approximately
Explanation:
We are to calculate mean cell residence time mcrt
= Mass of solid in reactor/mass of solid wasted in a day
Q = Qe + We
Q = 2.5
Qw = 0.5
Qe = 2.5 - 0.5
= 2 MGD
10⁶/svi
= 10⁶/125
= 8000
X = 3500
Xe = 20mg/
1MGD = 0.1337million
Mcrt = 75000x3500/[0.5*8000*10⁶+2*20*10⁶] x 0.1337
= 262500000/[4000000000+40000000} x 0.1337
= 262500000/574800000
= 0.45668 days
= 0.45668 x 24 hours
= 10.9603 hours
Approximately 11 hours
5.5 A scraper with a 275 hp diesel engine will be used to excavate and haul earth for a highway project. An evaluation of the job-site conditions indicates the scraper will operate 40 min./hr. For this project it is anticipated that the total cycle time will be 20 min. for a round trip. Previous job records show the scraper operated at full power for the 1.5 min. required to fill the bowl of the scraper and at 80% of the rated hp for the balance of the cycle time. Calculate the gallons per hour for fuel consumption of the scraper.
Answer: Fuel consumption per hour of the scrapper is 6 gal/hr
Explanation:
Given that;
Rated power = 275 hP
The scraper will work = 40min per hr
anticipated total cycle time = 20min
Previous Scrapper operated full power for 1.5min at 80% hP
First we find the Engine factor;
filling the bucket = 1.5/20 * 100% = 0.075
rest of cycle = (20-1.5)/20 * 80% = 0.74
so total engine factor = 0.075 + 0.74 = 0.815
now Time factor will be 40/60 = 0.6666 =
therefore operating factor = 0.6666 * 0.815 = 0.543
Now we know that for a diesel engine, a range fuel consumption = 0.04 gal/hP
so
Fuel consumption per hour of the scrapper is;
= 0.543 * 275 * 0.04
= 5.97 = 6 gal/hr
A wind turbine-electric generator is mounted atop a tower. As wind blows steadily across the turbine blades, electricity is generated. The electrical output of the generator is fed to a storage battery.
(a) Considering only the wind turbine-electric generator as the system, identify locations on the system boundary where the system interacts with the surroundings.
(b) Repeat for a system that includes only the storage battery.
what are three common types of variable resistors
Answer:
There are 3 main types of resistors based on their composition: carbon-composition resistors, carbon-film resistors, and metal-film resistors.
Explanation:
there is also
Potentiometer.
Rheostat.
Thermistor.
Magneto resistor.
Photoresistor.
Humistor.
Force sensitive resistor.
A group of scientists studied the environmental impact of internal combustion engines burning hydrocarbon fuels. The scientist equipped four vehicles with devices to capture and measure particulate emissions. One vehicle burned diesel fuel, one burned ordinary gasoline, one burned a gasoline/ethanol mixture and one burned natural gas. The four vehicles have equal masses and carried identical cargo. The scientists drove each vehicle 400 km, recording the volume of fuel burns in the quantity of particulate emissions generated. What is the independent variable in this experiment?
Answer: Combustion of Hydrocarbons
Explanation:
The Independent variable in an experiment is the one whose effect on the dependent variable is being measured. The independent variable therefore is controlled to see the effect it will have in the experiment.
In this experiment, the scientists combusted different types of hydrocarbons (diesel, gasoline, natural gas and a gasoline/ethanol mixture) as they aimed to find out the effect that this burning would have on the environment thereby making the combustion of hydrocarbons the independent variable.
Answer:
A. Type of Fuel
Explanation: The quantity of particulate Matter (PM) primarily depends upon the type of fuel used. Fine carbonaceous particles are mainly responsible for PM emissions. Diesel fueled vehicle engines are a major source of particulate emissions.
Which of the following scenarios describes someone who is a materials engineer?
Jon is helping to create a new blood pressure arm cuff.
Kristin is currently modifying a newly discovered plastic material to work on a new lightweight lacrosse stick.
Thomas uses a computer program to be sure that all of the architect’s blueprints are structurally sturdy.
Ethan is helping to design a new bug-resistant soil for garden beds.
Answer: Kristin is currently modifying a newly discovered plastic material to work on a new lightweight lacrosse stick.
Explanation:
The main function of a materials engineer is to develop, study and test materials that are used on order to make different products.
Material engineer solve problems in other engineering fields, like electrical, aerospace, civil, mechanical, chemical, and nuclear.
From the information given in the question, the correct option is "Kristin is currently modifying a newly discovered plastic material to work on a new lightweight lacrosse stick."
Answer:
nice
Explanation:
When determining risk, it is necessary to estimate all routes of exposure in order to determine a total dose (or CDI). Recognizing this, estimate the total chronic daily intake of toluene from exposure to a city water supply that contains toluene at a concentration equal to the drinking water standard of 1 mg/L over a period of 10 years. Assume the exposed individual is an adult female that is exposed to the chemical via drinking water and inhaling gaseous toluene released while she showers. Use the given parameters to calculate the CDI for water consumption. For inhalation, assume the woman takes a 15-minute shower every day. Assume the average air concentration of toluene during the shower is 1 μg/m3 and that she breathes at the adult rate of 20 m3/day.
Answer:
The following are the solution to this question:
Explanation:
The Formula for calculating CDI:
[tex]\bold{CDI = \frac{C \times CR \times EF \times ED}{BW \times AT}}[/tex]
[tex]_{where} \\ CDI = \text{Chronic daily Intake rate} (\frac{mg}{kg-day})} \\\\\text{C = concentration of Toluene}\\\\\text{CR = contact rate} \frac{L}{day}\\\\\text{EF = Exposure frequency} \frac{days}{year}\\\\\text{ED = Exposure duration (in years)} = 10 \ \ years\\\\\text{BW = Body weight (kg) = 70 kg for adult}\\\\ \text{AT = average period of exposure (days) }[/tex]
calculating the value of AT:
[tex]= 365 \frac{days}{year} \times 70 \ year \\\\ = 25550 \ days[/tex]
calculating the value of Intake based drinking:
[tex]C = 1 \ \frac{mg}{L}[/tex]
[tex]CR = 2 \frac{L}{day}[/tex] Considering that adult females eat 2 L of water a day,
EF = 350 [tex]\frac{days}{year}[/tex] for drink
calculating the CDI value:
[tex]\to CDI = \frac{(1 \times 2 \times 350 \times 10)}{(70 \times 25550)}\\\\[/tex]
[tex]= \frac{(2 \times 3500)}{(70 \times 25550)}\\\\ = \frac{(7000)}{(70 \times 25550)}\\\\ = \frac{(100)}{(25550)}\\\\=0.00391 \frac{mg}{ kg-day}[/tex]
Centered on inhalation, intake:
[tex]C = \frac{1 \mu g} { m^3} \ \ \ or \ \ \ \ 0.001 \ \ \frac{mg}{m^3}\\\\CR = 20 \frac{m^3}{day}\\\\EF = 15 \frac{min}{day} \ \ or\ \ 5475 \frac{min}{yr} \ \ \ or \ \ 3.80 \frac{days}{year}\\[/tex]
calculating the value of CDI:
[tex]\to CDI = \frac{(0.001 \times 20 \times 3.80 \times 10)}{(70 \times 25550)}[/tex]
[tex]= \frac{(0.76)}{(1788500)}\\\\= 4.24 \times 10^{-7} \ \ \frac{mg}{kg-day}[/tex]
A cook uses a pair of twelve-inch-long tongs to remove a piece of chicken from the grill. The chef is applying 3 pounds of squeezing force to the tongs. If more than 1 pound of force is applied to the fish, it will break.
The AMA of the system (rounded to the nearest hundredth) is
.
Using the static equilibrium calculations, the tongs must be held
inches (rounded to the nearest whole number) away from the fulcrum to avoid damaging the fish.
Answer: yes because fish its like quick sand is will just fall apart into tiny pecies to now it want us to round to the nearst hundredth so what is 12 divide by 3 and time 1
12:3x1=4 because we are rounding to the nearst hundredth
=4
Explanation:
A 75-kg piano is hosted on a crane and delivered throughout the window of a 6th story apartment (20 meters above ground). What is the potential energy of the piano?
Answer:
14,700 J
Explanation:
PE = Mgh = (75 kg)(9.8 m/s²)(20 m) = 14,700 J
What is a maintenance sheet?
Acoke can with inner diameter(di) of 75 mm, and wall thickness (t) of 0.1 mm, has internal pressure (pi) of 150 KPa and is suffered from a torque (T) of 100 Nmat one end (fixed at the other end). By neglecting the outside pressureand radial stresses, choose a proper 2D element and showcase the non-zero stresses on the element. Then, determine all three principal stresses and the maximum shear stress at that point.
Answer:
All 3 principal stress
1. 56.301mpa
2. 28.07mpa
3. 0mpa
Maximum shear stress = 14.116mpa
Explanation:
di = 75 = 0.075
wall thickness = 0.1 = 0.0001
internal pressure pi = 150 kpa = 150 x 10³
torque t = 100 Nm
finding all values
∂1 = 150x10³x0.075/2x0,0001
= 0.5625 = 56.25mpa
∂2 = 150x10³x75/4x0.1
= 28.12mpa
T = 16x100/(πx75x10³)²
∂1,2 = 1/2[(56.25+28.12) ± √(56.25-28.12)² + 4(1.207)²]
= 1/2[84.37±√791.2969+5.827396]
= 1/2[84.37±28.33]
∂1 = 1/2[84.37+28.33]
= 56.301mpa
∂2 = 1/2[84.37-28.33]
= 28.07mpa
This is a 2 d diagram donut is analyzed in 2 direction.
So ∂3 = 0mpa
∂max = 56.301-28.07/2
= 14.116mpa
There are two types of cellular phones, handheld phones (H) that you carry and mobile phones (M) that are mounted in vehicles. Phone calls can be classified by the traveling speed of the user as fast (F) or slow (W). Monitor a cellular phone call and observe the type of telephone and the speed of the user. The probability model for this experiment has the following information:
P[F]=0.5, P[HF]=0.2, P[MW]=0.1.
What is the sample space of the experiment?
Find the following probabilities P[W], P[MF], and P[H].
Answer:
A) P(W) = 0.5
B) P(MF) = 0.3
C) P(H) = 0.6
Explanation:
We are told that there are two types of cellular phones which are handheld phones (H) that you carry and mobile phones (M) that are mounted in vehicles.
Also, Phone calls can be classified by the traveling speed of the user as fast (F) or slow (W).
Thus, the sample space is combination of types and classification we are given and it is written as;
S = {HF, HW, MF, MW}
A) Now, phones can either be fast(F) or slow(W). Thus, we can write;
P(F) + P(W) = 1
We are given P(F) = 0.5
Thus;
0.5 + P(W) = 1
P(W) = 1 - 0.5
P(W) = 0.5
B) Now, from the problem statement, a phone call can either be made with a handheld(H) or mobile(M). Thus the sample space partition is {H, M} and we can express as;
P(H ∩ F) + P(M ∩ F) = P(F)
We are given P[F] = 0.5 and P[HF] = 0.2.
P(H ∩ F) is same as P[HF]
Also, P(M ∩ F) is same as P(MF)
Thus;
0.2 + P(MF) = 0.5
P(MF) = 0.5 - 0.2
P(MF) = 0.3
C) Similarly, mobile Phone calls can either be fast or slow. It means the sample space partition is {F, W}
Thus;
P(M) = P(MW) + P(MF)
P(M) = 0.1 + 0.3
P(M) = 0.4
Now, since cellular phones can either be handheld(H) or Mobile(M), then we can say;
P(H) + P(M) = 1
P(H) + 0.4 = 1
P(H) = 1 - 0.4
P(H) = 0.6
what is a possible negative aspect of economic growth
Explanation:
Increased pollution is a possible negative aspect of economic growth
The evaporator section of a refrigeration unit consists of thin-walled, 10-mm-diameter tubes through which refrigerant passes at a temperature of −18°C. Air is cooled as it fows over the tubes, maintaining a surface convection coeffcient of 100 W/m2 ⋅ K, and is subsequently routed to the refrigerator compartment. (a) For the foregoing conditions and an air temperature of −3°C, what is the rate at which heat is extracted from the air per unit tube length? (b) If the refrigerator’s defrost unit malfunctions, frost will slowly accumulate on the outer tube surface. Assess the effect of frost formation on the cooling capacity of a tube for frost layer thicknesses in the range 0 ≤δ ≤ 4 mm. Frost may be assumed to have a thermal conductivity of 0.4 W/m ⋅ K. (c) The refrigerator is disconnected after the defrost unit malfunctions and a 2-mm-thick layer of frost has formed. If the tubes are in ambient air for which T[infinity] = 20°C and natural convection maintains a convection coeffcient of 2 W/m2 ⋅ K, how long will it take for the frost to melt? The frost may be assumed to have a mass density of 700 kg/m3 and a latent heat of fusion of 334 kJ/kg
A parallel helical gearset consists of a 19-tooth pinion driving a 57-tooth gear. The pinion has a left-hand helix angle of 30°, a normal pressure angle of 20°, and a normal module of 2.5 mm.
Find:_______.
(a) The normal, transverse, and axial circular pitches
(b) The transverse diametral pitch and the transverse pressure angle
(c) The addendum, dedendum, and pitch diameter of each gear
Answer:
a)
normal circular pitch = 7.8539 mm
transverse circular pitch = 9.0689 mm
axial circular pitches = 15.7077
b)
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle is 22.8°
c)
Addendum = 2.5 mm
dedendum = 3.125 mm
pinion diameter = 54.8482 mm and Gear diameter = 164.5448 mm
Explanation:
Given that;
module m = 2.5 mm
Number of teeth on Gear nG = 57 TEETH
Number of teeth on Pinion nP = 19 TEETH
Helix angle W = 30°
Normal Pressure angle β = 20°
finding the circular pitch
Pc = πm
we substitute
Pc = π * 2.5 mm = 7.8539 mm
now the diametral pitch p = π / Pc
= π / 7.8539
= 0.4 teeth/mm
a)
So the normal circular pitch
Pn = π / P
Pn = π / 0.4
Pn = 7.8539 mm
the transverse circular pitch
Pt = Pn / cosW
Pt = 7.8539 / cos30°
Pt = 9.0689 mm
for axial circular pitches
Px = Pt / tanW
Px = 9.0689 / tan30°
Px = 15.7077
b)
The transverse diametral pitch and the transverse pressure angle.
The transverse diametral pitch Pt = PcosW
= 0.4 * cos30°
= 0.3464 teeth/mm
transverse diametral pitch is 0.3464 teeth/mm
transverse pressure angle β1 = tan^-1 ( tan βn / cos W)
= tan^-1 ( tan20° / cos 30°)
= tan^-1 ( 0.42027 )
β1 = 22.8°
transverse pressure angle is 22.8°
c)
The addendum, dedendum, and pitch diameter of each gear
Now from table standard Tooth proportions for Helical Gears;
Addendum a = 1/p
= 1 / 0.4
= 2.5 mm
dedendum b = 1.25 / p
= 1.25 / 0.4
= 3.125 mm
now pinion diameter dP = Np / PcosW
= 19 / 0.4 (cos30°)
= 54.8482 mm
Gear diameter dG = nG / pcosW
= 57 / 0.4 (cos30°)
= 164.5448 mm
Gear friction reduces power and engineers never use more gears than are need it.
A) True
B) False
Answer:
i personally think it is false
Explanation:
i think this because gear friction reduces next to no power
Lake Superior, the largest of the Great Lakes of North America, is also the world's largest freshwater lake by surface area (~ 82,100 km2), and the third largest freshwater lake by volume (~ 12,100 km3). The monthly average precipitation in 2018 in the lake area was 2.69 inches. According to the data provided by USGS water stations, the total flow rate in all the incoming streams was found to be 356,747 ft3/s (cubic feet per second). At the same time, the lake discharges 717,258 ft3/s to its surrounding water bodies. The monthly average evaporation was 18.7 mm. The groundwater inflow was 783.33 km3 less than the groundwater outflow in this year. (Hints: (1) The average monthly data can be used to calculate the annual data; (2) Volume = Area * Height; (3) Pay special attention to the units, convert all the units to be consistent first.)
(1) With the information above, please write the water budget for Lake Superior (10 points);
(2) Please estimate the change of storage (in m3) in the year of 2018 (20 points);
(3) Please estimate the increase or decrease of water level (in mm) in the year of 2018 (10 points).
Answer:
1) V_win = 7.05 10¹⁰ m³ , 2)V_ lost = 1.8471 10¹⁰ m³, 3) h = 633.4 mm
Explanation:
In this exercise we will start by reducing all units to the SI system
h1 = 2.69 inch (2.54 10-2 m / 1 inch) = 6.8326 10⁻² m
Ф1 = 356.747 ft3 / s (1 m3 / 35.3147 ft3) = 10.1019 m³ / s
Ф2 = 717,258 ft3 / s = 20,310 m³ / s
h2 = 18.7 mm (1 m / 1000 mm) = 18.7 10⁻³ m
V_subterránea = - 783.33 10³ m,
Now let's answer the questions
1) they ask us the amount of water that reaches the lake in 2018
volume of rainwater is
V₁ = A. h t
V₁ = 82 100 106 * 6.8326 10-2 * 12
V₁ = 6.7315 10 10 m3
stream water volume in a year
V₂ = Ф₁ t
t = 1 year (365 days / year) (24 h / 1 day) (3600 s / 1h) = 3.1536 10⁷ s
V₂ = 10.1019 3.1536 10⁷
v₂ = 31,857 10⁷ m³
The total water volume is
V_win = V₁ + V₂
V_win = 6.7315 10¹⁰ + 31.857 10⁷
V_win = 7.05 10¹⁰ m³
2) let's find the amount of water lost from the lake
volume of water to surrounding bodies
V₃ = Ф₂ t
V₃ = 20.310 3.1536 10⁷
V₃ = 6.40496 10 8 m3
Volume of evaporated water
V₄ = A h₂ t
V₄ = 82 100 10⁶ 18.1 10⁻³ 12
V⁴ = 1,783 10¹⁰ m³
groundwater volume
V⁵ = 7.83.33 10³ m³
The volume of water lost is
V_lost = V₃ + V₄ + V₅
V_ lost = 6.40496 10⁸ + 1.783 10¹⁰ + 783.33 10³
V_ lost = 1.8471 10¹⁰ m³
3) the change in the height of the lake
the change in volume is
ΔV = V_ won - V_ lost
ΔV = 7.05 10¹⁰ - 1.8471 10¹⁰
ΔV = 5.20 10¹⁰ m³
the volume is
v = A h
h = V / A
h = 5.20 10¹⁰/82100 10⁶
h = 6.334 10⁻¹ m
h = 633.4 mm
Technician A says you should place the air ratchet setting to
clockwise to loosen a fastener. Technician B says a fastener
must be set to the proper torque after using an air ratchet. Who
is correct?
Kris and James are working at a construction site that has a significant amount of stagnant water. Which type of hazard are they most likely to be exposed to?
Answer:
A biological hazard
Explanation:
Biological because insects and other organisms thrive in stagnant water.
The type of hazard that is most likely to be exposed to a significant amount of stagnant water is known as biological.
What is meant by biological hazard?A biological hazard may be defined as a biological substance that may significantly pose a great threat to the health of living organisms, primarily humans. These types are the major concerns in food processing because they cause most foodborne illness outbreaks.
In the case of Kris and James, they are significantly exposed to a biological hazard because stagnant water is commonly utilized by mosquitos to place eggs, this directs a lot of mosquitos around stagnant waters and therefore a higher risk of mosquito-transmitted diseases such as malaria. Besides this, stagnant water is highly polluted and includes bacteria and parasites that are harmful.
Therefore, the type of hazard that is most likely to be exposed to a significant amount of stagnant water is known as biological.
To learn more about Biological hazards, refer to the link:
https://brainly.com/question/14276262
#SPJ2
Large quantities of liquefied natural gas (LNG) are shipped by ocean tanker. At the unloading port, provision is made for vaporization of the LNG so that it may be delivered to pipelines as gas. The LNG arrives in the tanker at atmospheric pressure and 113.7 K and represents a possible heat sink for use as the cold reservoir of a heat engine. Assuming unloading of LNG as a vapor at the rate of 8,000 m3s-1, as measured at 25 C and 1.0133 bar, and assuming the availability of an adequate heat source at 35 C, what is the maximum amount of work that could be generated and what is the rate of heat transfer from the heat source
Answer:
yfyuhvckydfxcvkjyfvgrjfvhkhgfyhtfhchghjgyfvyghvhygvkuh
Explanation:
might give brainliest
Complete the following sentence.
_______ is a communication system that is composed of images that represent words.
Answer:
Blissymbols
Explanation:
Blissymbols is a constructed language with hundreds of basic symbols that represent words.
Answer:
Blissymbols
Explanation:
A large gas-turbine power plant delivers a net power output of 325 MW to an electric generator. The minimum temperature in the cycle is 300 K, and the maximum temperature is 1500 K. The minimum pressure in the cycle is 100 kPa, and the compressor pressure ratio is 12. Calculate the power output of the turbine, the back work ratio, and the thermal efficiency of the cycle. Also, determine the improved thermal efficiency if a regenerator, with an effectiveness of 85 percent, were installed in the power plant.
Answer:
A) Power output = 541.67 MW
B) Backwork ratio = 0.4
C) Improved thermal efficiency = 0.598
Explanation:
We are given;
Net power output; W'_net = 325 MW
Minimum Temperature; T1 = 300 K
Maximum Temperature; T4 = 1500 K
Compression Pressure ratio;P2/P1 = 12
From online tables, we have the following properties of air;
Specific heat capacity; C_p = 1.004 KJ/Kg
Adiabatic constant; k = 1.4
Temperature at stage 2 will be given by the formula;
T2 = T1(P2/P1)^((k - 1)/k)
Plugging in the relevant values gives;
T2 = 300(12)^((1.4 - 1)/1.4)
T2 = 610.18 K
Similarly, Temperature at stage 3 will be;
T3 = T4(P2/P1)^((k - 1)/k)
Plugging in the relevant values gives;
T3 = 750(12)^((1.4 - 1)/1.4)
T3 = 1525.45 K
Now, let's calculate the specific heat addition given by the formula;
q = C_p(T3 - T2)
q = 1.004(1525.45 - 610.18)
q = 918.93 KJ/Kg
Let's now calculate the specific net work output;
w_net = C_p[(T3 - T4) - (T2 - T1)]
w_net = 1.004[(1525.45 - 750) - (610.18 - 300)]
w_net = 467.13 KJ/Kg
A) Power output is given by;
W_T = (W'_net/W_net) × C_p(T3 - T4)
W_T = (325/467.13) × 1.004(1525.45 - 750)
W_T = 541.67 MW
B) back work ratio is;
f = (T2 - T1)/(T3 - T4)
f = (610.18 - 300)/(1525.45 - 750)
f = 0.4
C) Thermal efficiency is given by;
η = w_net/q
Since we are told that a regenerator, with an effectiveness of 85 percent, were installed in the power plant.
Thus;
η = (w_net/q)÷0.85
η = (467.13/918.94) ÷ 0.85
η = 0.598
Singularity is an important property of a square matrix. This is also known as degenerate. What is the value of the determinant of a singular matrix?
Answer:
For a Singular matrix, the determinant must be equivalent to 0.
Explanation:
A matrix is a rectangular array in which elements are arranged in rows and columns.
Each square matrix has a determinant. The determinant is a numerical idea that has a fundamental function in finding the arrangement just as investigation of direct conditions. For a Singular matrix, the determinant must be equivalent to 0.
Seawater containing 3.50 wt% salt passes through a series of 11 evaporators. Roughly equal quantities of water are vaporized in each of the 11 units and then condensed and combined to obtain a product stream of fresh water. The brine leaving each evaporator but the 11this fed to the next evaporator. The brine leaving the 11th evaporator contains 5.00 wt% salt. It is desired to produce 2 x 104 L/h of fresh water. What is the mass flow rate of concentrated brine out of the process?
______kg/h Save for Later
Answer: the mass flow rate of concentrated brine out of the process is 46,666.669 kg/hr
Explanation:
F, W and B are the fresh feed, brine and total water obtained
w = 2 x 10^4 L/h
we know that
F = W + B
we substitute
F = 2 x 10^4 + B
F = 20000 + B .................EQUA 1
solute
0.035F = 0.05B
B = 0.035F/0.05
B = 0.7F
now we substitute value of B in equation 1
F = 20000 + 0.7F
0.3F = 20000
F = 20000/0.3
F = 66666.67 kg/hr
B = 0.7F
B = 0.7 * F
B = 0.7 * 66666.67
B = 46,666.669 kg/hr
the mass flow rate of concentrated brine out of the process is 46,666.669 kg/hr
A full-wave bridge-rectifier circuit with a 1-k load operates from a 120-V (rms) 60-Hz household supply through a 12-to-1 step-down transformer having a single secondary winding. It uses four diodes, each of which can be modeled to have a 0.7-V drop for any current. What is the peak value of the rectified voltage across the load? For what fraction of a cycle does each diode conduct? What is the average voltage across the load? What is the average current through the load?
Answer:
The average current will be "10.12 mA".
Explanation:
In the transformer:
⇒ [tex]\frac{V1}{V2}=\frac{N1}{N2}[/tex]
where,
V1 = 120
N2 = 1
N1 = 10
So that,
⇒ [tex]V2=V1\times \frac{N2}{N1}[/tex]
On putting the values,
[tex]=120\times \frac{1}{10}[/tex]
[tex]=12V \ rms[/tex]
The full wave rectifier would conducts during positive and negative half.
⇒ [tex]Vmax=12-0.7[/tex]
[tex]=11.3V \ rms[/tex]
⇒ [tex]Vpeak=11.3\sqrt{2}[/tex]
[tex]=15.9V[/tex]
⇒ [tex]Vaverage=2Vmax \ \pi[/tex]
[tex]=10.12 \ V[/tex]
The amount conducted by each diode is 50%.
⇒ [tex]Iaverage=\frac{Vaverage}{R}[/tex]
[tex]=\frac{10.12}{1}[/tex]
[tex]=10.12 \ mA[/tex]
A lake with a surface area of 525 acres was monitored over a period of time. During onemonth period the inflow was 30 cfs (ie. ft3 /sec), the outflow was 27 cfs, and a 1.5 in seepage loss was measured. During the same month, the total precipitation was 4.25 inches. Evaporation loss was estimated as 6 inches. Estimate the storage change for this lake during the month.
Answer:
The storage of the lake has increased in [tex]4.58\times 10^{6}[/tex] cubic feet during the month.
Explanation:
We must estimate the monthly storage change of the lake by considering inflows, outflows, seepage and evaporation losses and precipitation. That is:
[tex]\Delta V_{storage} = V_{inflow} -V_{outflow}-V_{seepage}-V_{evaporation}+V_{precipitation}[/tex]
Where [tex]\Delta V_{storage}[/tex] is the monthly storage change of the lake, measured in cubic feet.
Monthly inflow
[tex]V_{inflow} = \left(30\,\frac{ft^{3}}{s} \right)\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(24\,\frac{h}{day} \right)\cdot (30\,days)[/tex]
[tex]V_{inflow} = 77.76\times 10^{6}\,ft^{3}[/tex]
Monthly outflow
[tex]V_{outflow} = \left(27\,\frac{ft^{3}}{s} \right)\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(24\,\frac{h}{day} \right)\cdot (30\,days)[/tex]
[tex]V_{outflow} = 66.98\times 10^{6}\,ft^{3}[/tex]
Seepage losses
[tex]V_{seepage} = s_{seepage}\cdot A_{lake}[/tex]
Where:
[tex]s_{seepage}[/tex] - Seepage length loss, measured in feet.
[tex]A_{lake}[/tex] - Surface area of the lake, measured in square feet.
If we know that [tex]s_{seepage} = 1.5\,in[/tex] and [tex]A_{lake} = 525\,acres[/tex], then:
[tex]V_{seepage} = (1.5\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)[/tex]
[tex]V_{seepage} = 2.86\times 10^{6}\,ft^{3}[/tex]
Evaporation losses
[tex]V_{evaporation} = s_{evaporation}\cdot A_{lake}[/tex]
Where:
[tex]s_{evaporation}[/tex] - Evaporation length loss, measured in feet.
[tex]A_{lake}[/tex] - Surface area of the lake, measured in square feet.
If we know that [tex]s_{evaporation} = 6\,in[/tex] and [tex]A_{lake} = 525\,acres[/tex], then:
[tex]V_{evaporation} = (6\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)[/tex]
[tex]V_{evaporation} = 11.44\times 10^{6}\,ft^{3}[/tex]
Precipitation
[tex]V_{precipitation} = s_{precipitation}\cdot A_{lake}[/tex]
Where:
[tex]s_{precipitation}[/tex] - Precipitation length gain, measured in feet.
[tex]A_{lake}[/tex] - Surface area of the lake, measured in square feet.
If we know that [tex]s_{precipitation} = 4.25\,in[/tex] and [tex]A_{lake} = 525\,acres[/tex], then:
[tex]V_{precipitation} = (4.25\,in)\cdot \left(\frac{1}{12}\,\frac{ft}{in} \right)\cdot (525\,acres)\cdot \left(43560\,\frac{ft^{2}}{acre} \right)[/tex]
[tex]V_{precipitation} = 8.10\times 10^{6}\,ft^{3}[/tex]
Finally, we estimate the storage change of the lake during the month:
[tex]\Delta V_{storage} = 77.76\times 10^{6}\,ft^{3}-66.98\times 10^{6}\,ft^{3}-2.86\times 10^{6}\,ft^{3}-11.44\times 10^{6}\,ft^{3}+8.10\times 10^{6}\,ft^{3}[/tex]
[tex]\Delta V_{storage} = 4.58\times 10^{6}\,ft^{3}[/tex]
The storage of the lake has increased in [tex]4.58\times 10^{6}[/tex] cubic feet during the month.
The volume of water gained and the loss of water through flow,
seepage, precipitation and evaporation gives the storage change.
Response:
The storage change for the lake in a month is 1,582,823.123 ft.³How can the given information be used to calculate the storage change?Given parameters:
Area of the lake = 525 acres
Inflow = 30 ft.³/s
Outflow = 27 ft.³/s
Seepage loss = 1.5 in. = 0.125 ft.
Total precipitation = 4.25 inches
Evaporator loss = 6 inches
Number of seconds in a month is found as follows;
[tex]30 \ days/month \times \dfrac{24 \ hours }{day} \times \dfrac{60 \, minutes}{Hour} \times \dfrac{60 \, seconds}{Minute} = 2592000 \, seconds[/tex]
Number of seconds in a month = 2592000 s.
Volume change due to flow, [tex]V_{fl}[/tex] = (30 ft.³/s - 27 ft.³/s) × 2592000 s = 7776000 ft.³
1 acre = 43560 ft.²
Therefore;
525 acres = 525 × 43560 ft.² = 2.2869 × 10⁷ ft.²
Volume of water in seepage loss, [tex]V_s[/tex] = 0.125 ft. × 2.2869 × 10⁷ ft.² = 2,858,625 ft.³
Volume gained due to precipitation, [tex]V_p[/tex] = 0.354167 ft. × 2.2869 × 10⁷ ft.² = 8,099,445.123 ft.³
Volume evaporation loss, [tex]V_e[/tex] = 0.5 ft. × 2.2869 × 10⁷ ft.² = 11,434,500 ft.³
[tex]Storage \, change \, \Delta V = \mathbf{V_{fl} - V_s + V_p - V_e}[/tex]Which gives;
ΔV = 7776000 - 2858625 + 8099445.123 - 11434500 = 1582823.123
The storage change, ΔV = 1,582,823.123 ft.³Learn more about water resources and hydrology here:
https://brainly.com/question/10555667
PLEASE HELP!!!! You are going to create a transcript for a persuasive presentation to convince your client that your design improvement is the best possible solution for their needs. Take your client through the different design options you considered for the product design improvement. Explain why you discarded the designs that were not the best possible solution. Finally, explain why your final product design covers each of the requirements and specifications you used to create your needs statement.
When we drive our car at 90 feet per second [ft/s], we measure an aerodynamic force (called drag) of 59 pounds-force [lbf] that opposes the motion of the car. How much horsepower [hp] is required to overcome this drag?
Answer:
P = 9.65 hp
Explanation:
Given that,
Speed of a car, v = 90 ft/s
Force that opposes the motion of the car, F = 59 pounds-force
90 ft/s = 27.432 m/s
1 pound-force = 4.448 N
59 pounds-force = 262.445 N
Power required is given by :
[tex]P=F\times v\\\\P=262.445\ N\times 27.432\ m/s\\\\P=7199.391\ W[/tex]
Since, 1 hp = 745.7
7199.391 W = 9.65 hp
So, 9.65 hp of power is required to overcome the drag.
A new car design must carry a family of four, include safety features, get more than 25 miles per gallon on the highway, and weigh less than 1.5 tons. which is one of the criteria that should be part of the design to meet the proposal request?
Answer: weigh less than 1.5 tons
Explanation:
Answer:The answer is A, seats for five people.
Explanation: I took the test and it is the only option that fits the criteria listed above.
What is the purpose of a career portfolio?
to introduce a resume and ask for a job interview
to provide relevant information in a job application
to keep track of all of the jobs you’ve applied for throughout your career
to collect work samples and the data that is used in a resume
Answer:
c
Explanation:
Answer: The Answer is B
Explanation:
