There's a passage in Kumar's (excellent) book, "Quantum", which has me confused.
He notes that Planck is aware that as the temperature of a heated poker rises, the colours change from red through to bluish white. Later in the passage, he refers to Herschel's earlier work on the relationship...
I have seen how to solve the heat equation:
$$ \frac{ \partial^2 u(x,t) }{\partial x^2} = k^2 \frac{ \partial u(x,t) }{\partial t} $$
With boundary conditions.
I use separation variables to find the result, but i don't know how to solve the equation plus a...
Homework Statement
Find the admissible current density Jadm for a wire that has no insulation and also for a wire that has two layers of insulation and compare it to Jadm for the case when the wire has only one layer of insulation.2. The attempt at a solution and equations
In the image I've...
Hello,
I was thinking about how a blackbody (and any other type of body) eventually reaches a steady-state, constant and finite temperature once the absorbed energy is equal to the emitted energy. The specific heat of a substance indicates the temperature change causes by the...
Homework Statement
Some gas at 300K is enclosed in a container. Now the container is placed on a fast moving train.is the change in temperature of the gas the same as the change dT observed when train suddenly stops?
Homework Equations
1/2mv^2=dU?? or dU=0??
The Attempt at a Solution...
Greetings! I've been brushing up on some thermodynamics recently and came across a perplexing sentence in my notes and text from undergrad.
It says that for a combustion reaction, such as the combustion of heptane:
C7H16 (l) + 11O2 (g) ---> 7CO2 (g) + 8H2O (l)
That this process carried out at...
I’m designing a system where a sea water sample must have its temperature controlled between near its freezing point (-2°C) and +30°C to simulate sea temperatures. To control it, the sample will be in contact with a block, which will be controlled by an external circulating water bath. The image...
The kinetic energy of electrons in a conductor is roughly 9 orders of magnitude greater than the kinetic energy from the drift velocity of the electrons. It seems that the kinetic energy from the drift velocity is not enough to account for the heating, where does the heat energy come from?
Cheers
Homework Statement
A 5m long heated pipe is used heat up water from 15°C to 65°C. Water flow through the pipe is 10liter/min. The heating gives a constant heat flow in all parts of the pipes surface. The inner and outer diameter of the pipe is 30 and 50 mm, respectively. Calculate the heat...
Homework Statement
If you have a heat exchanger with a cooling fluid and a fluid that condenses, and the fluid condenses over the entire heat exchanger i.e. its temperature is constant. How can one make a heat balance in such a case, when dT is 0 for the condensing fluid but not the other? i.e...
Homework Statement
I am confused on how it's using the surrounding temperature minus the surface temperature as its the other way around in the Newton's law of cooling, Doing that would change the sign of convection right? I don't see the reason to do that, since if left side is hotter, then...
Homework Statement
(I) Explain what is meant by an 'overall heat transfer coefficient'.
(II) Explain what is meant by fouling and what its effect will be on the value of the overall heat transfer coefficient.
Homework Equations
None provided.
The Attempt at a Solution
(I) The overall heat...
Homework Statement
One end of a solid cylindrical copper rod 0.200 m long and 0.0250 m in radius is inserted into a large block of solid hydrogen at its melting temperature, 13.84 K. The other end is blackened and exposed to thermal radiation from surrounding walls at 500.0 K. (Some telescopes...
Hi.
I have been trying to solve this problem that has been keeping me up at night for a coupe weeks at least. If anyone can help me, I would be greatly appreciated.
Hot air enters a cylindrical duct. The duct has some R-value and radiation and convection is being accounted for on the outside...
Assume we have a cylindrical fin which has the effective length of L and its efficiency is given by the equation: $$η=exp(-0.32mL)$$ where $$m=\sqrt{\frac{hP}{kA}}$$ where P is perimeter and A is the cross sectional area of the fin.
If the volume of the fin remains constant, which of the...
Homework Statement
A careless farmer sends this sheep out to graze on a very cold winter day when the temperature is -10oC. The sheep's coat has a thickness of 4.7 cm and a surface area 1.3 m2.
Calculate the rate of heat loss from the sheep on this cold day. Assume that heat is lost only...
I'm currently developing a heat sink for a product that produces up to 150 W max power dissipation. I'm currently getting a negative thermal resistance for the heat sink. I don't think that is possible..
I'm not sure how to move on at this point to properly design a heat sink to meet the heat...
In deriving the Carnot Efficiency, the assumption is made that theoretically most efficient engine will generate no net entropy, meaning that the entropy that enters the system during heat absorption must equal the entropy that leaves the engine during heat rejection. Why is the case? Why would...
Suppose a combined cycle power plant is made using waste heat as the heat source for second cycle.let the second cycle working fluid be steam.Is it possible that the exergy of waste heat is less than exergy of steam at any point of the powerplant?
Homework Statement
1.) A piece of bread (ε = 0.85) is being toasted in a toaster, as shown below. The heating element of the toaster consists of a wire 2 mm in diameter that is wound to approximate cylinders spaced 2 cm apart. This element acts as a blackbody. The housing for the toaster is...
Homework Statement
A 80.4 kg hiker uses 212 kcal hr-1 (3 s.f.) of energy whilst hiking. Assuming that 20% of this energy goes into useful work and the other 80% is converted to heat within the body, calculate the temperature change, in units of Kelvin (K), of the hiker's body during a 1.6 hour...
Homework Statement
A 4.80 kg piece of solid material is heated from 16.4C to 219C (3 s.f.) using 787 kJ of energy (3 s.f.).
Assuming an efficiency of 0.383 for the heating process, and that the material does not melt, calculate the specific heat capacity of the material.
Homework Equations...
Homework Statement
A 4.96 kg piece of solid material is heated from 16.7oC to 234oC (3 s.f.) using 725 kJ of energy (3 s.f.).
Assuming an efficiency of 0.342 for the heating process, and that the material does not melt, calculate the specific heat capacity of the material.
m = 4.96 kg
change...
Homework Statement
Hi,
So I have a perfectly insulated rectangular plate and I trying to use the 2D heat equation in conjunction with numerical finite diference methods and MATLAB to see how the temperature changes throughout the plate. My issue is with the heat source. I am supposed to decide...
Homework Statement
The initial state of 0.1 mol of an ideal monatomic gas is P0=32 Pa and v0=8m3. The final state is P1=1 Pa and V1=64m3. Suppose that the gas undergoes a process along a straight line joining these two states with an equation P=aV+b, where a =31/56 and b=255/7. Plot this...
Hello,
I am developping a Python (/Pyomo) package for simulation and optimization of some industrial processes.
I want to create global (simplified) models for heat exhangers (and more) and avoid differential equations.
(to decrease the number of variables of the problem)
Most often the...
Homework Statement
I don't understand the derivation of the right side of the last equation.
Homework EquationsThe Attempt at a Solution
I got to this point, I also don't understand why it did not include C_2 for the variation of temp. along the fin.
I am guessing the right side is the...
Homework Statement
So this is more of a really vague conceptual question, I'm sorry if it doesn't really make sense. I'm in the stage of learning this where I don't quite understand things well enough to form a proper question.
I'm a little bit confused about nodal networks in heat and mass...
To begin, I am not sure whether or not this is the correct location for this post since I am a complete greenhorn to this forum (just joined today!).
I ask how much heat is produced by radioactive waste because I was wondering if it was viable to reuse all the tons of stored radioactive waste...
Homework Statement
A 12.0 g sample of a metal is heated to 90.0 °C. It is then dropped into 25.0 g of water. The temperature of the water rises from 22.5 to 25.0 °C. The specific heat of water is 4.18 Jg-1°C-1.
Calculate the specific heat of the metal. Express your answer in Jg-1°C-1
Homework...
Homework Statement
Using the heats of fusion and vaporization for water, calculate the change in enthalpy for the sublimation of water:
H2O(s) --> H2O(g
Using the delta H value given in Exercise 24 and the number of hydrogen bonds formed to each water molecule, estimate what portion of the...
So, I have noticed that when people are crowded in small rooms, it feels hot. In fact, everyone in the crowd feels hot and starts sweating. I am wondering about the origin of all this heat.
I do know that by first law of thermodynamics, if two people touch each other and if one of them feels...
In an ideal reversible case, a spring is a simple perpetual machine ; in order to introduce the slowdown of a spring in a real case and the consequent heat development in the spring, Feynman writes (here par. 4.4):
"Inside a spring or a lever there are crystals which are made up of lots of...
Hello all
I have a practical question regarding heat transfer within my laptop. My laptop uses a shared-heatpipe design, meaning that my CPU and GPU are connected by a common piece of copper, and then each chip goes off to its own heatsink/fan.
While playing games, I was monitoring the...
Homework Statement
Kinetic energy per mol is 3/2KTHomework Equations
Q = nC##\Delta##T
U = Q + W
W = -P##\Delta##V
The Attempt at a Solution
1) internal energy = 3/2NKT
2) heat needed to increase temperature of 1 mol ideal gas by 1 degree at constant volume?
Since constant volume, W = 0
Q =...
Homework Statement
(a) What is the purpose of a silvered coating, usually of a good conductor, on the outside of most insulation?
The Attempt at a Solution
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The silver coating on the outside of most industrial pipes and lagging (Insulation) is primarily to reduce the surface’s...
Homework Statement
(a) Explain how heat is lost from a hot surface to the surrounding air.
The Attempt at a Solution
We will assume as there has been no other stipulation that the effect of radiation is negligible and thus we are taking purely about conduction.
We will also assume as there...
Homework Statement
An appropriate correlation for heat transfer by natural convection from a horizontal pipe to the atmosphere is Nu=0.53Gr^0.25 Pr^0.25
Where,
Gr= (αp^2 d^3 (T_1-T_f )g)/μ^2
And
Pr〖= (C_p μ)/k〗
Show the above correlation can be simplified to
h...
I placed a hot metal lid on a cool surface. When i tried to pull it up, it had a lot of resistance, i had to really try to pull it up. I could hear sounds under the lid, I'm guessing it was boiling water.
What do you think could have caused this resistance?
Hello,
I am doing a high school EEI to investigate the impact that the material of a cup has on the temperature of water inside the cup when left outside in the sun.
The cups I am using are:
Glass
Steel
Plastic
Paper
Theoretically, if I poured the same amount of water into each of the cups...
Homework Statement
A furnace wall consists of three layers of material as shown below.
The thermal conductivities are:
Firebrick = 1.15 W m–1 K–1
Insulating brick = 0.17 W m–1 K–1
Ordinary brick = 0.62 W m–1 K–1
Calculate:
(i) the thermal resistance of each layer
(ii) the heat loss per...
Homework Statement
A small reheating furnace wall consists of 200 mm of firebrick. The inner surface of the wall is at a temperature of 320 °C and the outside temperature is 35 °C. Calculate the rate at which heat is transferred, by conduction, through unit area of the wall. The thermal...
Homework Statement
A cylinder is fitted with a piston and is in thermal contact with a heat bath at 273K. Initially the volume in the cylinder is filled with 10kg of pure H2O and about half of this is liquid and the other half is solid. The piston is lowered so as to reduce the volume by 2 ×...
I really want to build a simple but powerful induction heater for hobby blacksmithing.
Metal shaping and the design of the cooling system within the coils are not a problem.
I need help understanding the electronics
Obviously I must first use a transformer as a safety against "backlash" to the...
Homework Statement
The emission of radiation from the Sun’s disc is observed to peak at 0.5 μm wave- length and that from the Moon’s disc at 10.0μm. A heat engine to power a Moon base is to be constructed using radiation collected from the Sun. What is the maximum theoretical efficiency of such...
I bought a A/C scroll compressor from a 2005 Toyota Prius. I want to convert it into a expander to use in a ORC waste heat recovery system. If I can get it working on the bench, then it's my dream to put it on a hybrid vehicle, most likely another Prius since I own 2. The electricity it...
I am currently working on a project which requires a mass and energy balance on a fin/ fan heat exchanger. The problem I am running into is finding how to apply the fin efficiency to find out the amount of hea tbeing dissipated through the fins. The hot fluid is water and the cooling fluid is...
I've been wondering about this question for some time now. There are the following two contributors:
~~~~~~~~~~~~~~
1. Heat left over from the planet's initial formation. In the early 19th century Lord Kelvin estimated the temperature based on a homogenous sphere of uniform initial temperature...