# What is Temperature change: Definition and 135 Discussions

A temperature coefficient describes the relative change of a physical property that is associated with a given change in temperature. For a property R that changes when the temperature changes by dT, the temperature coefficient α is defined by the following equation:

d
R

R

=
α

d
T

{\displaystyle {\frac {dR}{R}}=\alpha \,dT}
Here α has the dimension of an inverse temperature and can be expressed e.g. in 1/K or K−1.
If the temperature coefficient itself does not vary too much with temperature and

α
Δ
T

1

{\displaystyle \alpha \Delta T\ll 1}
, a linear approximation will be useful in estimating the value R of a property at a temperature T, given its value R0 at a reference temperature T0:

R
(
T
)
=
R
(

T

0

)
(
1
+
α
Δ
T
)
,

{\displaystyle R(T)=R(T_{0})(1+\alpha \Delta T),}
where ΔT is the difference between T and T0.
For strongly temperature-dependent α, this approximation is only useful for small temperature differences ΔT.
Temperature coefficients are specified for various applications, including electric and magnetic properties of materials as well as reactivity. The temperature coefficient of most of the reactions lies between −2 and 3.

View More On Wikipedia.org
1. ### How does thermal stress affect the length of a constrained rod?

My attempt at deriving the equation: Let a temperature a rod of length L constrained by walls on both ends be changed by ΔT. So the change in lenghth of rod under no constraints = L α ΔT Length of rod after change in temperature without walls =L+L α ΔT= L(1+L α ΔT) However with constraints the...
2. ### Gas temperature in a constant volume

An insulated container (constant volume, adiabatic) contains an Ideal gas with pressure P1 and temperature T1. We open the container's hatch for a few seconds and let some particles escape from the container, then we close the hatch again. We know container's pressure has reduced by exiting...
3. ### Total force from air spring model (double acting piston)

Hi everyone, I'm an electrical engineer working on making a linear model for a power take-off system. I've gotten inertial, friction, and hydraulic/electric components done, but what is really confusing me is the gas system; I haven't taken ANY thermodynamics. To simplify it, it is modeled as a...
4. ### Experiment - how temperature changes along a tube, using heaters

TL;DR Summary: Help needed with plotting heat maps, using data we gathered in an experiment. Hello, so I'm having problems with analysing data, which we gathered from an experiment we did in class. This is meant as a type of non-guided experiments class, where we are just given an initial...
5. ### I Temperature change due to mixing liquids, heating and heat losses

Hello, I am stuck how to proceed with the equations below. The problem: A tank containing ##m_0## mass, with a temperature of ##T_0##, is to be filled with a total mass of ##m_1##, with the constant mass flow rate ##G## and temperature ##T_1## during ##t_p## seconds. ##T_0>T_1##. Other than the...
6. ### Comparing Cube A & B's Temperature Change

I know in this case cube A would heat up faster, but would cube B eventually reach the same temperature?
7. ### Chemistry Effect of temperature change in Le Chatelier's Principle

The effect of temperature change in Le Chatelier's Principle is given by the equation $$\log \left(\frac{\mathrm{K}_{2}}{\mathrm{~K}_{1}}\right)=\frac{\Delta \mathrm{H}}{2.303 \mathrm{R}}\left[\frac{1}{\mathrm{~T}_{1}}-\frac{1}{\mathrm{~T}_{2}}\right]$$. How to derive  \log...
8. ### A How to calculate the temperature change of a laser-irradiated material

I am looking to approximately calculate the temperature change of a sample that was exposed to a laser pulse. Experimentally, we know the optical absorption, reflection, and transmission, as well as the source parameters for our laser system. I realize that I will have to make approximations...
9. ### Finding temperature change, thermodynamics first law

So I calculated the final and initial pressures using the given eqns, ended up with the final pressure of 96629 and initial pressure of 62639. Then I used the PV=nRT eqn to calculate the final and initial temperatures. T=P*V/(n*1.5*R). I got an initial temperature of 81.79 and a final...
10. ### Find rate of temperature change using heat capacity, density and area

So first I found rate of heat change using the above equation, with T=883K, e=1, SA= 6*l^2=21.66 Now dQ/dt=746593.71 W Now I am not sure entirely what to do next. They give density so I likely have to get the mass from that, M=pV,=1.9^3*4037=27689.783 kg. My issue is that I don't know how to...
11. ### What is the temperature change of a bullet upon impact?

Summary:: What is the temperature change of a bullet upon impact. I have this problem to solve but I'm kinda stuck, would apricate any feedback. We fire a silver bullet with a muzzle speed of 200 ms−1 into a sack of sand. What is the temperature change of the bullet, if 40 % of its kinetic...
12. ### Temperature change in a gas expansion

1- ##\delta P_V =(\frac{\partial P}{\partial T} )_V \delta T_V## 2-##\delta V =(\frac{\partial V}{\partial T})_P \delta T+(\frac{\partial V}{\partial P})_T \delta P## so ##C_v \delta T=-P\delta V=-P((\frac{\partial V}{\partial T})_P \delta T+(\frac{\partial V}{\partial P})_T \delta P)## I can...
13. ### Is a Rate of 100K/s an Intuitively Offensive Way to Measure Temperature Change?

Question: This would be the right approach to do this problem? Thanks!
14. ### Estimate the temperature change due to vaporizing liquid

I'm releasing pressurized propellant into another chamber which is at atmospheric pressure, I want to estimate the temperature to which that chamber will drop to and the rate at which the liquid (collecting in the new chamber) will boil. The second chamber is open to atmosphere via a small...

I tried modeling the problem quite a few ways. one was to say that the difference between the heat emitted by the room and the heat emitted by the bulbs would equal the heat absorbed by the room, and that could allow us to calculate temperature. This did not work. I'd appreciate your help
16. ### Why doesn't the stagnation temperature change in a stator?

I am studying the rotary compressor and I have understood that the stagnation pressure and stagnation temperature both increase in the rotor stage (as energy is being added). I also read that in the stator stage the stagnation temperature remains a constant but there is loss of stagnation...
17. ### Free expansion process and temperature change

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...
18. ### I Question on the Derivation of Temperature/Scale Factor Relation

In 'Introduction to Cosmology' by Barbara Ryden, there is an argument made using the first law of thermodynamics to derive the relation T(t) ∝ a(t)-1 on pages 29 and 30. MENTOR NOTE: removed copyrighted material. I've been able to work out all the omitted details up to 2.37, which gives the...
19. ### Temperature change in a metal due to heat from a distant animal?

In bolometers, incoming radiation warms a strip of material. this material will have a large thermal coefficient of resistance, leading to a (small) resistance change in the material. the inventor, Samuel Pierpoint Langley apparently used this to detect a cow from 1/4 of a mile away using a...
20. ### Temperature change in a vacuum?

Hello, I'm currently taking some summer classes at my college and was assigned a project to transport vaccines from one location to another (travel time ~2-5 hours.) We have to keep the vaccine within the range of 35-46 degrees Fahrenheit at all times. My group and I came up with the idea of...
21. ### Dielectric constant of air with temperature change

I'm looking to see how much the dielectric constant of air will change mostly as a function or air temperature. Is there a formula that outputs air dielectric as a function of temperature or atmospheric pressure?
22. ### Cannot find the Temperature Change inside of a Tank

It seems that a solution to the following problem is strangely absent from the internet. After days of research, I have found no one who offers such a solution. Only one paper addressed it but was sloppy in the way it presented the equations; they were incomplete. The problem is simply...
23. ### Effects of Temperature on Flow Rate

Using a pump we are cycling water through a capsule with filter media inside; while measuring the flow rate (l/min) and the pressure (psi) going in and the pressure going out. The water is cycled back into the same storage tank. As the flow rate increases the differential pressure should change...
24. S

### Thermodynamics - Temperature change of Argon

Homework Statement The temperature of n = 19 mol of argon gas is increased from T1 = 21 oC by Q = 4.4 kJ heat transfer, while the gas pressure is kept constant. What is the new gas temperature in Celsius degrees? Homework Equations and as its a monoatomic gas I think this means that the...
25. ### Calculating Temperature Change for Heat Exchanger

Hello, After the last post I completely changed the system. I now have a new system. Based on the feedback from last time I increased the time in contact with the block significantly. And I have made it a two stage unit. Here are the parameters for the first stage. An Aluminum block. (assume...
26. H

### Ideal Gas Equation and Temperature change?

During a thermodynamic process, the state variables of an ideal gas, measured in kPa, m3, and oC, varied in the following way: P2 = 2P1 V2 = 3V1 T2 = 8T1 What is the temperature increase of the gas, T2 −T1 ? I've been given an answer of 4780 and I'm not sure how to get there?
27. D

### Fluid temperature change over cold surface?

For my research I am trying to study the temperature change of a warm fluid (air) flowing over a cold surface, but I have not studied fluid mechanics. Does anyone know of an equation that can be used to analyze this problem? To give some reference, the hot air is 49 Celsius and the cold air is...
28. ### Adiabatic Compressor: Ideal Gas Temperature Change

Homework Statement A mixture of hydrogen, carbon monoxide and carbon dioxide is being fed to a compressor at 2.0 bar and 25 C. The overall flow rate is 17.47 SCMS and its composition is 73.5 mol% H2, 13.7 mol% CO and the balance CO2 The compressor operates adiabatically and reversibly with a...
29. K

### Diamagnetic material's response to temperature change

I know that in a para magnetic material the magnetization increase on cooling. What will be the same effect on a diamagnetic material,considering the fact that Curies law doesn't hold good on diamagnetic materials.
30. ### Temperature change (first law of thermodynamics)

Hi, From the first law of thermodynamics it follows: Cp * (δT/δt) = (δQ/δt) where Cp = specific heat capacity, T = temperature, Q = heat, t = time From this formula, you would derive that temperature keeps on increasing as long as dQ/dt > 0. But if you, for example, look at the idealized...
31. ### Liquid to gas expansion temperature change in a tank

Hello ! I have troube doing a calculation. Let's say we have a volume Vi in a tank at a pressure Pi. If I let my tank open, the tank's liquid will start to boil to keep the pressure Pi inside the tank. Now, at the end, I will have a volume Vf in the tank, and still a pressure Pi. But the...
32. ### Gas Compression Temperature Change

Homework Statement "One way to heat a gas is to compress it. A gas at 1.00 atm at 25.0°C is compressed to one tenth of its original volume, and it reaches 40.0 atm pressure. What is its new temperature?" So, I have: P1 = 1 V1 = 1 T1 = 25 P2 = 40 V2 = 0.1 And I'm looking for T2 The question was...
33. N

### Calculating Internal Energy & Temperature Change of Ideal Gas

Homework Statement What is the change in internal energy (in Joules) of an ideal gas that does 4.675x10^5J of work, while 2.95x10^6J of heat is transferred into the system and 7.95x10^6J of heat is transferred from the system to the environment? Calculate the change in temperature of the two...
34. ### Temperature change in different containers

Homework Statement This is a question for 10 year old but I have a problem understanding why the answer is so. (The student asked me this.) There are two similar containers, X and Y, with 500 ml of boiling water. X is an aluminium container. Y is a plastic container. They are then covered with...
35. ### Calculating Temperature Change from 20°C to -20°C: Homework Question

Homework Statement in this question , it's not stated that whether the temperature change from 20°C to -20°C or -20°C to 20°C . I'm confused... Homework EquationsThe Attempt at a Solution I think it should be changing from 20°C to -20°C so delta T = (-20-20) = -40°C , am i right ?
36. ### Inverse Square Law, Temperature Change, and Heat Source Temp

I've been trying to wrap my head around the relationship between temperature increase of an object at a distance and temperature of a heat source. From what I've found, the temperature increase of an object from thermal radiation is affected by the inverse square law...
37. ### Temperature change at a given time

Good day to all, Hi, i would like to ask if there is a way to calculate the temperature change at a given time. I will use this as a basis for my study which is about designing an ice container and i would like to know how long does my ice last given its own temperature and the outside...
38. ### Temperature change of Water after dropping a ball into it

Homework Statement Suppose we drop a lead ball of mass M into water of mass m from a height h and allow everything to settle down. What is the temperature change of the water? Assume that the container is well insulated. Homework Equations Potential Energy = mgh dU = mcdT where dU is the...
39. ### Temperature change in ice water interface

A metal block at 500 K is kept on a large ice slab at 273 K.The metal block completely sinks inside the ice slab. I was told that the water in contact with ice would not change its temperature while the block sinks down and hence the "only" heat transfer from the metal block to ice slab will...
40. ### Why does heat make objects break?

Homework Statement I need to proove that temperature changes make objects break. I used a stone, and heated it for about 10 minutes. After that I put it in cold water. According to my teacher that should've broken the stone, but it didn't. I had to give it a few hits, not too many or too...
41. ### How can boiling water freeze faster than water at room temp?

Hi guys n girls, I have a real conundrum today. There us a rumor that if you put 2 pots of water, that are absolutely identical except that in one the water is boiling hot in the other it is room temperature, the one with the boiling water freezes faster. How can that be ? Pure logic dictates...
42. ### Decrease in temperature and pressure of closed container

Homework Statement Helium is stored in a tank initially at temperature To and pressure Po. It starts coming out through an opening (pipe outlet) at a constant mass flow rate of mdot. Calculate the decrease in temperature and pressure of the tank (assuming no heat loss to the surroundings) as a...
43. ### Axial Deformation due to Temperature Change and Load

Homework Statement A 100 kN load is applied to a flange positioned midway (at B) along a 50 mm diameter steel bar (ABC). The bar is placed between two rigid supports and is thus constrained. Determine the position of the flange (distance from the left support) if the temperature of the bar...
44. ### Can temperature affect the mass of water

Hi there guys, I'm conducting an experiment to calculate the mass flow rate of water. Bellow is a copy of the procedure: 1) Weigh the mass in kg of a container 2) Connect a flow meter to a tap (any source) with a pipe and insure the departure pipe goes into a sink 3) Open the tap an increase...
45. ### Thermodynamics flow control?

I have this problem and have been pulling what's left of my hair out: The Wivenhoe hydroelectric power station requires water to be pumped from Wivenhoe Dam to Splityard Creek Dam, using two pumps (each consuming 250 MW of power at 98% efficiency) to elevate the water approximately 70 m. At...
46. ### What is the Rise in Temperature of Molten Metal During Cylindrical Die Forging?

Homework Statement [/B] A molten metal is forced through a cylindrical die at a pressure of 168000 Kg per square meter. Given that the density of the molten metal is 2000 Kg per cubic meter and the specific heat of the metal is 0.03, find the rise in temperature during...
47. ### How Do You Calculate the Final Temperature of a Glass Pot and Oil?

I recently encountered this problem in class "A glass pot of mass 0.6kg contains 1.2kg of oil at 15 degrees Celsius. If 214kJ of energy is supplied to it, what is the final temperature of the pot and oil? ( The specific heat capacity of glass is 700 J kg-1 °C-1, and the specific heat capacity of...
48. ### Ambient temperature on production floor

If normal ambient temperature on production floor is 65-70°F, would there be noticeable effects on production floor equipment if we drop ambient down to 35-40°F? Equipment consists of motors, PLC's, VFD's, process instrumentation ie flow meters, chart recorders, level sensors/transmitters...
49. ### Find the temperature change of a person struck by lightning

Homework Statement A lightning flash releases about 1010J of electrical energy. If all this energy is added to 50 kg of water (the amount of water in a 165-lb person) at 37∘C, what are the final state and temperature of the water? The specific heat of water is 4180 J/kg⋅∘C, heat of...
50. ### Temperature change with gasses.

Homework Statement Homework Equations pv=nRT The Attempt at a Solution Celsius and kelvin read the same so that means the pressure does not change because the gasses volume does not. C