Complete question is;
Annealing is a process by which steel is reheated and then cooled to make it less brittle. Consider the reheat stage for a 100 mm thick plate (ρ = 7830 kg/m3, Cp = 550 J/kg K, k = 48 W/m K). The plate initially is at 200 °C and is to be heated to a minimum temperature of 550 °C. Heating is effected in a gas-fired furnace where the products of combustion at T∞ = 800 °C maintain a convection heat transfer coefficient of h = 250 W/m.K on both surfaces of the plate. How long should the plate be left in the furnace?
Answer:
860 seconds
Explanation:
We are given;
Initial Temperature; Ti = 200 °C
Minimum Temperature; T_i = 550 °C
T∞ = 800 °C
convection coefficient; h = 250 W/m².K
ρ = 7830 kg/m³
Cp = 550 J/kg K
k = 48 W/m K
Plate thickness = 100mm
Thus,L = 100/2 = 50mm = 0.05 m
Let's find the biot number from the formula;
Bi = hL/K
Bi = (250 × 0.05)/48
Bi = 0.2604
Now, lowest temperature in the slab is given as;
θ_o = (T_o - T∞)/(T_i - T∞)
θ_o = (550 - 800)/(200 - 800)
θ_o = 0.4167
Now, from online tables calculation, we can find the root of the biot number.
Thus, root of the biot number Bi = 0.2604 is;
ζ1 = 0.488 rad
Also, C1 is gotten as 1.0396
Now,formula for thermal diffusivity is;
α = k/ρc
α = 48/(7830 × 550)
α = 1.115 × 10^(-5) m²/s
Also, from online tables, f(ζ1) = 0.401
Thus, we can find the time the plate should the plate be left in the furnace from;
-(ζ1)²(αt/L²) = In 0.401
-(ζ1)²(αt/L²) = -0.9138
t = (-0.9138 × 0.05²)/-(0.488² × 1.115 × 10^(-5))
t ≈ 860 s
In this exercise we want to calculate the time, in seconds, of the time left on the plate in the furnace, like this:
860 seconds
Organizing the information given in the statement we find that:
Initial Temperature; Ti = 200 °CMinimum Temperature; T_i = 550 °CInfinity Temperature: T=800°Cconvection coefficient; h = 250 W/m².Kρ = 7830 kg/m³Cp = 550 J/kg Kk = 48 W/m KPlate thickness = L = 0.05 mUsing the formula given below, we will have how to calculate the number of biot, like this:
[tex]B = hL/K\\B = (250 * 0.05)/48\\B = 0.2604[/tex]
calculating the angle that corresponds to the temperature difference as:
[tex]\theta_o = (T_o - T)/(T_i - T)\\\theta_o = (550 - 800)/(200 - 800)\\\theta_o = 0.4167[/tex]
Using the formula below, we will have:
[tex]\alpha = k/\rho c\\\alpha = 48/(7830 * 550)\\\alpha = 1.115 * 10^{-5}[/tex]
Combining all the information from the previous calculations, we have that the time will be calculated as:
[tex]-(\phi)^2(\alpha t/L^2) = In 0.401\\-(\phi )^2(\apha t/^2) = -0.9138\\t = (-0.9138 * 0.05^2)/-(0.488^2 * 1.115 * 10^{-5})\\t = 860 s[/tex]
See more about time at brainly.com/question/2570752
A storage tank has a volume of 3,000 liters. The tank is originally filled to a pressure of 21.1 megapascals with an ideal gas while the temperature is maintained at 28 degrees Celsius. The tank is heated so the temperature increases to a final temperature of 58 degrees Celsius. What will be the new pressure in the tank in units of megapascals?
It is given that volume is constant i.e 3000 L.
So, [tex]\dfrac{T_1}{P_1}=\dfrac{T_2}{P_2}[/tex]
Now,
[tex]T_1=28 +273 = 301\ K\\\\T_2=58 + 273 = 331\ K\\\\P_1 = 21.1\ MPa[/tex]
Putting all values in above equation, we get :
[tex]\dfrac{301}{21.1}=\dfrac{331}{P_2}\\\\P_2=\dfrac{331\times 21.1}{301}\ MPa\\\\P_2=23.20\ MPa[/tex]
Therefore, the new pressure will be 23.20 MPa.
Hence, this is the required solution.
Shania has started a new job as an app developer. Her first task was to make an old designed for Android available on other platforms. which of the following would make her job easiest and fastest?
Which of the following is NOT a factor that contributes to the annual cost to own an automobile
a
vehicle color
b
repairs
c
fuel
d
maintenance
Answer:
a. vehicle color
Explanation:
One might expect that the cost of owning a vehicle would not be a function of its color. There is no reason to believe that a blue car gets better gas mileage than a green car of the same make, model, and equipment. So, the appropriate choice is ...
a. vehicle color
__
However, vehicle color may play a role in ownership costs if more money is spent on washing a white car than would be spent on a black or beige car. Similarly, a light-colored car may require less use of an air-conditioner in the summer sun than does a dark-colored car, ultimately affecting fuel cost. It isn't always obvious what the features of a vehicle are that contribute to ownership cost.
Heeeelppp please um if your smart help
Answer:
ben black diyorum ve Iyi srdsler dilerim
#elmaliturta23
In Female, the twenty-third pair of chromosomes is called in in
2
A spring balance pulls with 5 N on a beam of 0.5 m.
What is the torque at the end of the beam?
Answer:
The torque at the end of the beam is 2.5 Nm
Explanation:
Given;
length of beam, r = 0.5 m
applied force, F = 5 N
The torque at the end of the beam is given by;
τ = F x r
where;
τ is the torque
F is applied force
r is length of the beam
τ = 5 x 0.5
τ = 2.5 Nm
Therefore, the torque at the end of the beam is 2.5 Nm
the thurst from a bottle rocket last until
Answer:
what are you in third grade??
Explanation:
the answer is the air pressure inside of the bottle reaches the same air pressure as outside of the bottle. K?? got it love???I hope soo
Answer:
the air pressure inside of the bottle reaches the same air pressure as outside of the bottle.
Explanation:
How is the foundation for a skyscraper different from a house?
Answer:
Shallow foundations, often called footings, are usually embedded about a metre or so into soil. ... Another common type of shallow foundation is the slab-on-grade foundation where the weight of the structure is transferred to the soil through a concrete slab placed at the surface.
Explanation:
Because I said so.
A pump is positioned at 2 m above the water of the reservoir. The inlet of the pipe connected to the pump is positioned at 6m beneath the water of the reservoir. When a pump draws 220 m3/hour of water at 20 °C from a reservoir, the total friction head loss is 5 m. The diameter of the pipe connected to the inlet and exit nozzle of the pump is 12 cm and 5 cm, respectively. The flow discharges through the exit nozzle to the atmosphere. Calculate the pump power in kW delivered to the water.
Answer:
The pump delivers 32.737 kilowatts to the water.
Explanation:
We can describe the system by applying the Principle of Energy Conservation and the Work-Energy Theorem, the pump system, which works at steady state and changes due to temperature are neglected, is represented by the following model:
[tex]\dot W_{in} + \dot m \cdot g \cdot (z_{1}-z_{2}) + \frac{1}{2}\cdot \dot m \cdot (v_{1}^{2}-v_{2}^{2})+\dot m \cdot [(u_{1}+P_{1}\cdot \nu_{1})-(u_{2}+P_{2}\cdot \nu_{2})]-\dot E_{losses} = 0[/tex] (Eq. 2)
Where:
[tex]\dot m[/tex] - Mass flow, measured in kilograms per second.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]z_{1}[/tex], [tex]z_{2}[/tex] - Initial and final heights, measured in meters.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final flow speeds at pump nozzles, measured in meters per second.
[tex]u_{1}[/tex], [tex]u_{2}[/tex] - Initial and final internal energies, measured in joules per kilogram.
[tex]P_{1}[/tex], [tex]P_{2}[/tex] - Initial and final pressures, measured in pascals.
[tex]\nu_{1}[/tex], [tex]\nu_{2}[/tex] - Initial and final specific volumes, measured in cubic meters per kilogram.
Then, we get this expression:
[tex]\dot W_{in} + \dot m \cdot g \cdot (z_{1}-z_{2}) +\frac{1}{2}\cdot \dot m \cdot (v_{1}^{2}-v_{2}^{2}) +\dot m\cdot \nu \cdot (P_{1}-P_{2})-\dot E_{losses} = 0[/tex] (Ec. 3)
We note that specific volume is the reciprocal of density:
[tex]\nu = \frac{1}{\rho}[/tex] (Ec. 4)
Where [tex]\rho[/tex] is the density of water, measured in kilograms per cubic meter.
The initial pressure of water ([tex]P_{1}[/tex]), measured in pascals, can be found by Hydrostatics:
[tex]P_{1} = P_{atm} + \rho\cdot g \cdot \Delta z[/tex] (Ec. 5)
Where:
[tex]P_{atm}[/tex] - Atmospheric pressure, measured in pascals.
[tex]\Delta z[/tex] - Depth of the entrance of the inlet pipe with respect to the limit of the water reservoir.
If we know that [tex]p_{atm} = 101325\,Pa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta z = 6\,m[/tex], then:
[tex]P_{1} = 101325\,Pa+\left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}})\cdot (6\,m)[/tex]
[tex]P_{1} = 160167\,Pa[/tex]
And the specific volume of water ([tex]\nu[/tex]), measured in cubic meters per kilogram, is: ([tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex])
[tex]\nu = \frac{1}{1000\,\frac{kg}{m^{3}} }[/tex]
[tex]\nu = 1\times 10^{-3}\,\frac{m^{3}}{kg}[/tex]
The power losses due to friction is found by this expression:
[tex]\dot E_{losses} = \dot m \cdot g\cdot h_{losses}[/tex]
Where [tex]h_{losses}[/tex] is the total friction head loss, measured in meters.
The mass flow is obtained by this:
[tex]\dot m = \rho \cdot \dot V[/tex] (Ec. 6)
Where [tex]\dot V[/tex] is the volumetric flow, measured in cubic meters per second.
If we know that [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex] and [tex]\dot V = 0.061\,\frac{m^{3}}{s}[/tex], then:
[tex]\dot m = \left(1000\,\frac{kg}{m^{3}}\right)\cdot \left(0.061\,\frac{m^{3}}{s} \right)[/tex]
[tex]\dot m = 61\,\frac{kg}{s}[/tex]
Then, the power loss due to friction is: ([tex]h_{losses} = 5\,m[/tex])
[tex]\dot E_{losses} = \left(61\,\frac{kg}{s}\right)\cdot \left(9.807\,\frac{m}{s^{2}} \right) \cdot (5\,m)[/tex]
[tex]\dot E_{losses} = 2991.135\,W[/tex]
Now, we calculate the inlet and outlet speed by this formula:
[tex]v = \frac{\dot V}{\frac{\pi}{4}\cdot D^{2} }[/tex] (Ec. 7)
Inlet nozzle ([tex]\dot V = 0.061\,\frac{m^{3}}{s}[/tex], [tex]D = 0.12\,m[/tex])
[tex]v_{1} = \frac{0.061\,\frac{m^{3}}{s} }{\frac{\pi}{4}\cdot (0.12\,m)^{2} }[/tex]
[tex]v_{1} \approx 5.394\,\frac{m}{s}[/tex]
Oulet nozzle ([tex]\dot V = 0.061\,\frac{m^{3}}{s}[/tex], [tex]D = 0.05\,m[/tex])
[tex]v_{2} = \frac{0.061\,\frac{m^{3}}{s} }{\frac{\pi}{4}\cdot (0.05\,m)^{2} }[/tex]
[tex]v_{2} \approx 31.067\,\frac{m}{s}[/tex]
([tex]\dot m = 61\,\frac{kg}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]z_{2} = 2\,m[/tex], [tex]z_{1} = -6\,m[/tex], [tex]v_{2} \approx 31.067\,\frac{m}{s}[/tex], [tex]v_{1} \approx 5.394\,\frac{m}{s}[/tex], [tex]P_{2} = 101325\,Pa[/tex], [tex]P_{1} = 160167\,Pa[/tex], [tex]\dot E_{losses} = 2991.135\,W[/tex])
[tex]\dot W_{in} = \left(61\,\frac{kg}{s}\right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot [2\,m-(-6\,m)]+\frac{1}{2}\cdot \left(61\,\frac{kg}{s}\right) \cdot \left[\left(31.067\,\frac{m}{s} \right)^{2}-\left(5.394\,\frac{m}{s} \right)^{2}\right] +\left(61\,\frac{kg}{s}\right)\cdot \left(1\times 10^{-3}\,\frac{m^{3}}{kg} \right)\cdot (101325\,Pa-160167\,Pa)+2991.135\,W[/tex]
[tex]\dot W_{in} = 32737.518\,W[/tex]
The pump delivers 32.737 kilowatts to the water.
what was the first roblox player A.bob B.roblox C.builderman
Answer:
actually, it was John Doe and Jane Doe, as they were created as testers on the exact same say when Roblox was created.
Explanation:
The first player was builderman. Option C
Who was the first player?The first player was one whose user handle was builderman.
However, the account was terminated. It was replaced with
‘Builderman’ is the account that belonged to the CEO and Co-Founder of , David Baszucki. He manages all of the admins.
When you make a new account, he's automatically your friend.
Note that ‘John Doe’ and ‘Jane Doe’ were two test accounts that were created by David.
The accounts were later rumored to hack others’
Learn about username at: https://brainly.com/question/28344005
#SPJ6
Which of the following best describes empathy?
the understanding of the feelings and beliefs of others
the lack of pride or boastfulness
the courage to speak up with one’s ideas
the possession of honesty and high morals
Answer:
the first one is the correct answer
Answer:
the first one would be correct
Explanation:
No help dude that’s not even part of the question
Answer:
wat?
Explanation:
The question should be labeled in the psychology section, but what I assume the question means is some sort of paradoxical reverse psychology method of braincell loss. Even photosynthesis doesn't understand what it means. The question probably is what is the question, not that there's no help.
Hope this helps (a little)!
Consider a 1.5-m-high and 2.4-m-wide glass window whose thickness is 6 mm and thermal conductivity is k = 0.78 W/m⋅K. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at 24°C while the temperature of the outdoors is −5°C. Take the convection heat transfer coefficients on the inner and outer surfaces of the window to be h1 = 10 W/m2⋅K and h2 = 25 W/m2⋅K, respectively, and disregard any heat transfer by radiation.
Answer:
The steady rate of heat transfer through the glass window is 707.317 watts.
Explanation:
A figure describing the problem is included below as attachment. From First Law of Thermodynamics we get that steady rate of heat transfer through the glass window is the sum of thermal conductive and convective heat rates, all measured in watts:
[tex]\dot Q_{total} = \dot Q_{cond} + \dot Q_{conv, in} + \dot Q_{conv, out}[/tex] (Eq. 1)
Given that window is represented as a flat element, we can expand (Eq. 1) as follows:
[tex]\dot Q_{total} = \frac{T_{i}-T_{o}}{R}[/tex] (Eq. 2)
Where:
[tex]T_{i}[/tex], [tex]T_{o}[/tex] - Indoor and outdoor temperatures, measured in Celsius.
[tex]R[/tex] - Overall thermal resistance, measured in Celsius per watt.
Now, we know that glass window is configurated in series and overall thermal resistance is:
[tex]R = R_{cond} + R_{conv, in}+R_{conv, out}[/tex] (Eq. 3)
Where:
[tex]R_{cond}[/tex] - Conductive thermal resistance, measured in Celsius per watt.
[tex]R_{conv, in}[/tex], [tex]R_{conv, out}[/tex] - Indoor and outdoor convective thermal resistances, measured in Celsius per watt.
And we expand the expression as follows:
[tex]R = \frac{l}{k\cdot w\cdot d} + \frac{1}{h_{i}\cdot w\cdot d} + \frac{1}{h_{i}\cdot w\cdot d}[/tex]
[tex]R = \frac{1}{w\cdot d}\cdot \left(\frac{l}{k}+\frac{1}{h_{i}}+\frac{1}{h_{o}} \right)[/tex] (Eq. 4)
Where:
[tex]w[/tex] - Width of the glass window, measured in meters.
[tex]d[/tex] - Length of the glass window, measured in meters.
[tex]l[/tex] - Thickness of the glass window, measured in meters.
[tex]k[/tex] - Thermal conductivity, measured in watts per meter-Celsius.
[tex]h_{i}[/tex], [tex]h_{o}[/tex] - Indoor and outdoor convection coefficients, measured in watts per square meter-Celsius.
If we know that [tex]w = 2.4\,m[/tex], [tex]d = 1.5\,m[/tex], [tex]l = 0.006\,m[/tex], [tex]k = 0.78\,\frac{W}{m\cdot ^{\circ}C}[/tex], [tex]h_{i} = 10\,\frac{W}{m^{2}\cdot ^{\circ}C}[/tex] and [tex]h_{o} = 25\,\frac{W}{m^{2}\cdot ^{\circ}C}[/tex], the overall thermal resistance is:
[tex]R = \left[\frac{1}{(2.4\,m)\cdot (1.5\,m)}\right] \cdot \left(\frac{0.006\,m}{0.78\,\frac{W}{m\cdot ^{\circ}C} }+\frac{1}{10\,\frac{W}{m^{2}\cdot ^{\circ}C} }+\frac{1}{25\,\frac{W}{m^{2}\cdot ^{\circ}C} } \right)[/tex]
[tex]R = 0.041\,\frac{^{\circ}C}{W}[/tex]
Now, we obtain the steady rate of heat transfer from (Eq. 2): ([tex]R = 0.041\,\frac{^{\circ}C}{W}[/tex], [tex]T_{i} = -5\,^{\circ}C[/tex], [tex]T_{o} = 24\,^{\circ}C[/tex])
[tex]\dot Q_{total} = \frac{24\,^{\circ}C-(-5\,^{\circ}C)}{0.041\,\frac{^{\circ}C}{W} }[/tex]
[tex]\dot Q_{total} = 707.317\,W[/tex]
The steady rate of heat transfer through the glass window is 707.317 watts.
Think about a good game story that made you feel a mix of positive and negative emotions. What was the story, what emotions did you feel, and how did it make you feel them? Why did those emotions draw you into the story?
What is a computer ? Does it work or not I’m asking this Bc I’m stupid
Answer:
A computo is a box and it works really well if its good