What is Temperature: Definition and 1000 Discussions
Temperature is a physical quantity that expresses hot and cold. It is the manifestation of thermal energy, present in all matter, which is the source of the occurrence of heat, a flow of energy, when a body is in contact with another that is colder or hotter.
Temperature is measured with a thermometer. Thermometers are calibrated in various temperature scales that historically have used various reference points and thermometric substances for definition. The most common scales are the Celsius scale (formerly called centigrade, denoted as °C), the Fahrenheit scale (denoted as °F), and the Kelvin scale (denoted as K), the last of which is predominantly used for scientific purposes by conventions of the International System of Units (SI).
The lowest theoretical temperature is absolute zero, at which no more thermal energy can be extracted from a body. Experimentally, it can only be approached very closely (100 pK), but not reached, which is recognized in the third law of thermodynamics.
Temperature is important in all fields of natural science, including physics, chemistry, Earth science, astronomy, medicine, biology, ecology, material science, metallurgy, mechanical engineering and geography as well as most aspects of daily life.
1. The problem statement, all variables and given/know
Given: Nitrogen: 2g, it takes 820cm3 at 2 atm pressure. What is the temperature (T) of gas? Answer: 280K
Homework Equations
P*V = n*R*T
P - pressure
V - velocity
n - moles?
R - constant, 0.0820 ? when I use liters, atm
T - temperature in...
Homework Statement
Imagine two parallel plates at distance ##L##. One of them at constant temperature ##T_H## and the other one at ##T_C##. Media between the plates is air.
Find ##T## as function of distance from the plate with ##T_H## in steady state.
Homework Equations
Navier - Stokes
Heat...
Does temperature apply to subatomic particles, in particular the neutron? The question is prompted by the definition of absolute zero, being specific to atomic movement.
Greetings,
I read with interest some of the reports and studies of the "measurement" of the temperature of interstellar gases(H2, O2 etc) surrounding some gaseous nebulas(nebulae). Some reported temps. are in the thousands of degs. K. I was wondering how a solid object traveling at high speed...
Hi,
In the Stefan-Boltzmann equation for radiation heat transfer, there exists expected parameters of any model (area, constants, etc.). However, the temperature is raised to the fourth power.
Can someone explain why?
I get that it could just be because it has been "experimentally observed."...
Hi,
I want to develop a Monte Carlo simulation to determine the temperature of a beta radioisotope (Sr-90) of a given mass for my master thesis in Computational Physics. I am rookie to simulations. How much time will take to develop such a code.
Thnaks a lot
Given that absolute zero is the lowest temperature possible, were all particles have zero vibration. And given that the speed of light is the highest speed any object, particle, sub atomic or not can travel. Using 2 of the most fundamental laws of physics thermodynamics and general relativity...
How can I calculate the surface temperature of a Cylindrical Heating rod after some time interval? There is internal heat generation in the rod and convective heat transfer to the surroundings.
Hey, I'm interested in temperature recordings for the last 10 years but also for an estimate in the last billion years, this for hobby and fun. There are a lot of public sources but problem is many sites are torn down and others are created, so I feel very in the wild, it's like finding a tree...
I thought this would be easy to find - but I can't find it. All the data I can find on-line is local to location.
I am looking for data showing the highest recorded temperature on the planet per year over the past 30 years.
Does anyone know if such data is compiled / accessible?
Homework Statement
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Find the equation of state of a solid that has an isobaric expansion coefficient
dV/dT = 2cT - bp
and an isothermal pressure-volume coefficient
dV/dp = -bT
(Assume the solid has a volume Vo at zero temperature and pressure. Enter a mathematical equation. Use any variable...
I've been logging daily temperature and humidity data for two years now. In the end of each year I will put a graph like this
Those are daily minimum and maximum temperatures. But I was wondering, if all this has any scientific value at all. I've been using WS2300 weather station for these...
Homework Statement
A brass bar and a steel bar, each 0.8 m long are at a temperature of 20oC. Each bar is placed at that temperature between rigid walls 0.8 m apart. The cross - sectional areas for the brass and steel bars are 0.005 m2 and 0.003 m2, respectively. The coefficient of linear...
Homework Statement
An insulated beaker with negligible mass contains a mass of 0.350 kg of water at a temperature of 76.5 °C.
How many kilograms of ice at a temperature of − 23.9 ∘C must be dropped in the water to make the final temperature of the system 40.0 ∘C?
Take the specific heat for...
So we have that KE= (2/3)kT , meaning that if I increase the kinetic energy of water, it will become hotter, I searched it and it says that at the bottom of the waterfall, the water is slightly hotter. Of course I imagine that when they refer to the bottom, they refer to a part of the waterfall...
Earth rotates, it also orbits the Sun, the Sun orbits the galaxies and these have they’re own velocities as well. We know that the kinetic energy is measured by its velocity, and also that kinetic energy is related with temperature. By this I mean that the movement of particles are a measure of...
For ##m>T## we can write
$$n\propto T^{3/2}\exp[{-(m-\mu)/T}].\tag{2}$$
For ##T>m## we can write ##n\propto T^{3}## where ##n## is number density of particles with mass m. We can derive this relationship by using ##n\propto a^{-3}## and we also know that ##a\propto T^{-1}##.
Is there a...
Hi guys,
I'm having an issue at the minute with rolled coil steel, cracking and fracturing when being rolled into a profile. The material certs are within ISO specification, i.e. chemical composition analysis and the mechanical properties etc.
The carbon equivalent may be a little high, but...
Homework Statement
A system consists of a mass m moving in one dimension and attached to a rigid wall by a spring having stiffness constant ##K##, as shown. The mass is subjected to a constant force ##F##, and is in equilibrium with the surroundings at a temperature ##T##. The partition...
In my assignment question, the length L and radius r is given and asked to find out how the Temperature of a thin bulb filament which depends on those two parameters. and the answer is r^(1/4)*L^(-1/2). I can't figure out how. Which relation is involved?
Good day all!
I have the following exercise
One kilo-mole of air expands adiabatically from an initial state p1=1 bar, T1=340 K to a final state V2= 2V1. Compute the temperature of the final state, for the following cases: Joule expansion (gas free expansion with W12=0)
My problem is with the...
I am interested in whether it may be possible to reduce the temperature of the Hall-Héroult process for the electrolytic smelting of aluminum by using Li3AlF6 instead of cryolite (Na3AlF6) as the solvent for the aluminum oxide, and if this might be advantageous over current methods.
Li3AlF6...
The understanding that I have of temperature is that it is defined as the vibration of particles. Now, does this mean that in a vacuum where there are no particles the temperature is the absolute 0 ?
Homework Statement
Show that the temperature of non-relativistic matter scales as ##a^{-2}## in the absence of interactions. Start from the zero-order part of Eq. (4.68) and assume a form ##f_{dm} \propto e^{-E/T}=e^{-p^2/2mT}##. Note that his argument does not apply to electrons and protons...
Hi all,
In S. Weinberg's book "Cosmology", there is a derivation of the slightly modified temperature of the cosmic microwave background as seen from the Earth moving w.r.t. a frame at rest in the CMB. On Page 131 (1st printing), an approximation (Formula 2.4.7) is given in terms of Legendre...
Hi! Here's a tricky thermodynamics problem, I hope you can help with it.
1. Homework Statement
The boundary between two different materials can be divided into two different kind of phases: bulk phases and surface phases. For example, let's consider a boundary between water and air. We can...
Why laser output power decreases with increasing temperature? By increasing temperature, I mean increasing temperature of the active medium.
I think that thermal lensing alone should not have effect on output power? Just different focusing (focal length).
What happens with energy levels in...
Hi!
My question is: I understand that at noon-day it’s hotter because of the angle with which sun rays enter our atmosphere. But at the same time, I was wondering that the band of radiation responsible for heating things is infrared, and that at noon basically all bands of lower frequency than...
Homework Statement
I have a copper tube with outer radius r2 and inner radius of r1. Half the tube is exposed to the surrounding air while the other half is embedded into the ground. The outside air temperature is T2 and the ground temperature is T3. What is the air temperature inside the tube...
I am trying to find the thermal speed of electron at room temperature.
kT = (1/2)mv^2
which gives v=√((2kT)/m)
but answer says it should be √((kT)/m)
Where did that 2 go?
Salutations, I'm starting in statistical mechanics and reviewing some related studying cases I would like to understand what occurs in small systems with normal modes of vibration, for example, a small system that has 2 normal modes of vibration, with natural frequencies $$\omega_1$$ and...
Homework Statement
Two blocks of iron, one of mass m at 10.0C and the other of mass 2m at 25.0c, are placed in contact with each other. If no heat is exchanged with the surroundings, which of the following is the final temperature of the two blocks?
A)10
B)15 .
D) 20C ( this is the answer)
The...
Homework Statement
Star 1 emits energy at a rate that is 2 times that of Star 2. If Star 1 also has a radius that is 3 times larger than Star 2, how do the temperatures of the stars compare?
a. Star 1's temperature is 2.58 that of Star 2.
b. Star 1's temperature is 3.75 that of Star 2.
c...
Hello,
Can someone please tell me what the mean rating temperature in the tables provided in ASHRAE fundamentals, ASHRAE standard 90.1&90.2 for chilled water insulation indicates.
Homework Statement
Helium is kept in a pressure vessel at a pressure of 5.42 bar and the resulting density is 0.92 kg/m3. The gas constant R is 8.314 J/(mol*K). The volume of the vessel is 1589.194 m3. I need to find the temperature of helium in Celsius.
Homework Equations...
I was thinking about the fact that space contains all sorts of matter and that these objects have temperatures. But then I read that space itself has a temperature depending on where you are. The cosmic background radiation for example has a temperature of 2.7K. Can someone explain what that...
Knowing the following information: Sun surface temperature of 5788 K, Sun's core is between 20-25% of radius. I tried to (perhaps naively) calculate the temperature to the edge of its core from the surface temperature, using an inverse square law. Depending on which value you use for the core...
Homework Statement
Compute the specific heat of black hole
Homework Equations
##T=\frac{2}{r_+}-3/2048 r_+^2-\frac{6r_+^3M^2}{(M+r_+^6)^2}##
##f(r)=1-\Big (\frac{r^2}{64}+\frac{Mr^4}{M+r^6} \Big ) ^{1/2}##
##r_+## is the horizon where ##f(r=r_+)=0##.
The Attempt at a Solution
I tried to...
Homework Statement
I have had a question in my quiz that I don’t remember very well, but here’s a diagram and there’s no need for numbers in axis because it’s a concept- based question with no calculations.
The question asks if an ideal gas system moved from A-B-C-A. Where is the process by...
Hi,
For an ideal Rankine cycle,
the temperature-specific entropy diagram can be given as follows,
The pump in this cycle is isentropically 100% efficient.
My question is that why the temperature of the water increases as it flows through the pump (point 1 to 2) if the pump is 100%...
Homework Statement
A gas-fired tube heater has the following data:
Dimensions of the combustion chamber: 15 * 20 * 40 ft
Tube outside diameter: 5 in
Temperature of the tube=800° F
Center to center spacing: 8 in
Number of tubes (arranged in a single row of which 6 tubes are shield tubes) ...
I heated two different materials with a laser beam for about 10 seconds and these are the measured temperature profiles:
From the various solutions to the general heat conduction equation, temperature rise seems to increase with increasing thermal resistance of the material. The total...
Homework Statement
A black and yellow body at room temperature are thrown into a furnace at very high temperature. How will the initial and final brightness of both compare?
Homework Equations
λT=constant
The Attempt at a Solution
The rise in the black body's temperature will be higher...
Homework Statement
What would be the increment in heat energy radiated when the temperature of a hot body is raised by 5%?
Homework Equations
P=σεAT^4
The Attempt at a Solution
dP/P=4dT/T dT=5 when T is 100 initially. Let's assume P was also 100 initially for convenience, therefore dP should...
Homework Statement
A piece of metal is heated by supplying a constant power P. The temperature of the metal starts varying as T=kt. The heat capacity of the metal as a function of temperature is?
Homework Equations
Q=CdT
The Attempt at a Solution
From Q=CdT, dT is k, since P is Q/t, I plugged...
Homework Statement
Consider the following reaction.
2 HCl(aq) + Ba(OH)2(aq) BaCl2(aq) + 2 H2O(l) ΔH = -118 kJ
Calculate the heat when 100.8 mL of 0.500 M HCl is mixed with 300.0 mL of 0.450 M Ba(OH)2. Assuming that the temperature of both solutions was initially 25.0°C and that the final...
Homework Statement
Consider the dissolution of CaCl2.
CaCl2(s) Ca2+(aq) + 2 Cl-(aq) ΔH = -81.5 kJ
A 10.6-g sample of CaCl2 is dissolved in 109 g of water, with both substances at 25.0°C. Calculate the final temperature of the solution assuming no heat lost to the surroundings and assuming...