Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, radiation, and physical properties of matter. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics. Thermodynamics applies to a wide variety of topics in science and engineering, especially physical chemistry, biochemistry, chemical engineering and mechanical engineering, but also in other complex fields such as meteorology.
Historically, thermodynamics developed out of a desire to increase the efficiency of early steam engines, particularly through the work of French physicist Nicolas Léonard Sadi Carnot (1824) who believed that engine efficiency was the key that could help France win the Napoleonic Wars. Scots-Irish physicist Lord Kelvin was the first to formulate a concise definition of thermodynamics in 1854 which stated, "Thermo-dynamics is the subject of the relation of heat to forces acting between contiguous parts of bodies, and the relation of heat to electrical agency."
The initial application of thermodynamics to mechanical heat engines was quickly extended to the study of chemical compounds and chemical reactions. Chemical thermodynamics studies the nature of the role of entropy in the process of chemical reactions and has provided the bulk of expansion and knowledge of the field. Other formulations of thermodynamics emerged. Statistical thermodynamics, or statistical mechanics, concerns itself with statistical predictions of the collective motion of particles from their microscopic behavior. In 1909, Constantin Carathéodory presented a purely mathematical approach in an axiomatic formulation, a description often referred to as geometrical thermodynamics.
We know that there is no law of conservation for the entropy. It is quite the contrary: If we have a closed system without exchange of heat the entropy cannot get less. It will reach the max. If we have not a closed system but a stream of entropy only into a system, the entropy will increase...
I came across this very interesting Thermodynamics problem in PhysicsStackExchange. It was deleted by the OP because the moderators, in their infinite wisdom, gave him a hard time about its being a homework problem which was, in their opinion, a "check my work" post, rather than a "I'm having...
My problem isn't exactly with calculating the actual changes in internal energy, I'll put those values below. My problem is that I can't get the values to add up to 0, and I don't understand why since for cyclic processes, by definition, ΔU must equal 0.
$$ΔU_{AB} = ΔU_{isothermal} = 0$$...
I created a crayon drawing to aid the discussion below:
Basically if you have a blower of low pressure, and you blow it through a tube which has a very hot center, when the heat is added to the air, does the pressure of the air increase after passing by the fire, or is that impossible since...
My first problem is to find the absored and rejected heat. Can I say that it is equal to the work done in an isothermal proccess (##dQ=Pdv##)?
My reasoning : We have ##dQ=C_V d\theta + Pdv##. For constant temperature it becomes :$$dQ=Pdv$$
I guess the first one is wrong.
Because in this cycle we have ##|Q_H| > |Q_L|## then ## |Q_L| - |Q_H| ## is negative and caanot be equal with ##|W|##.
Am I right?
TL;DR Summary: Trying to understand why there might be errors when using certain materials in a physics lab and how aluminum foil might impact this.
I am looking for assistance on answer these questions.
1) What would likely be a significant source of error in performing this experiment on...
Good afternoon all,
I have two questions to check my understanding/understand better those questions.
Why is heat capacity an important quantity in thermodynamics and statistical mechanics?
From my understanding, heat capacity is an extensible property so any change in the system would result...
Entry conditions: liquid ammonia , 1 bar , temp -34 celsius,
i supply heat Q to heat it to 4.5 celsius, 10 bar,
than i release it into empty vessel until inside reaches also 1 bar,
expansion,adiabatic cooling, uses internal energy of ammonia to expand and cool itself
1. can we assume, after...
TL;DR Summary: why is the answer "all of the above"?
Could someone explain why the correct answer is all of the above? I understand that Cv implies a constant volume process, but what about the other two?
TL;DR Summary: I'm currently studying physics (undergrad level). I want to find a project related to thermodynamics to present it to my professor.
I am reading this book: Heat and Thermodynamics: An Intermediate Textbook by Mark Zemansky and Richard Dittman...
Hi, this is a
atmospheric physics question.When the sun heats up the ground (dark granite slab/asphalt), makes a thermal column of air rise, gradually accumulating into a higher pressure area, and then wind, when it moves from higher pressure to a lower pressure area, it is distributing the heat...
Hi, as follow up to this thread I believe for any substance/thermodynamic system there exists actually a set of 3 state equations between the 5 variables ##(U,T,S,p,V)##.
For example in the case of ideal gas which are the 3 equations ? Thanks.
Let me first get through a few calculations to set up the main part of this question.
From the first law, we have that
$$dQ = dU - dW\tag{1}$$
Now, we also have
$$dU=\left (\frac{\partial U}{\partial T} \right )_VdT + \left (\frac{\partial U}{\partial V} \right )_T dV\tag{2}$$...
The book I am reading says that by definition, the ideal gas satisfies the equations
$$PV=nRT\tag{1}$$
$$\left (\frac{\partial U}{\partial P}\right )_T = 0\tag{2}$$
where does (2) come from? In other words, what justifies this equation in the definition above?
Here is a passage from a book I am reading
My question is about the limits.
Are all the limits in the derivation above done for ##P_{TP}\to 0##?
In particular, is it ##\lim\limits_{P_{TP}\to 0} (Pv)## that appears above?
The author omits this information in all but the first limit and it...
Heat conduction is the transport of energy between neighboring volume elements in a material as a result of the temperature difference between them.
The "fundamental law of heat conduction", as it is called in the book I am reading, is a "generalization of the results of experiments on the...
Hi,I m studying for college and I need to receive some info from you guys. Which books should I use to study mechanics,thermodynamics,electricity and magnetism?
I have no idea what books I should study because my own physics teacher has some pdfs in her USB and I can t borrow the USB because...
Hi,
I have a question regarding the evolution of idea in the field of thermodynamics.
Boltzmann is genereally credited with the notion of stasticis and it's relation to entropy. However, Boltzmann was inspired by the work of Maxwell (who himself followed the conceptual models of Bernoullli for...
In Halliday's physics book, there is an example of the first law of thermodynamics that shows its application. The figure below explains this example:
Here is a question, if the element alone is chosen as the system, doubts arise in the first law, because in this system, Q<0 (because heat is...
Let's consider the system as both internal chambers together, ie everything inside the adiabatic walls.
We have ##Q_{sys}=Q_{gas}+Q_{evac}=0## because we have adiabatic walls and ##W_{gas}+W_{evac}=0## because of the rigid walls.
##\Delta U = U_f-U_i=Q_{gas}+Q_{evac}+W_{gas}+W_{evac}=0##.
How...
Consider the problem of measuring the heat capacities of solids using an electrical method where a resistance wire is wound around a cylindrical sample of the material.
Why and how is the dissipated energy in the first case considered work and not simply an internal exchange of heat (which...
My question is about units.
For the first part, we can solve the state equation for ##P## as a function of ##V## and ##T##. We obtain
$$P(V,T)=\frac{RT}{V-b}-\frac{a}{V^2}\tag{1}$$
The units question already comes up here because as far as I can tell the right-hand side doesn't have the...
I dont have an solution Attempt. Maybe something with PV=nRT but this is for ideal gas and H2O is liquid. An other formula they introduced us to is: dE=-P*V
I am posting this question after I thought I had easily solved the problem, but then when I checked the back of the book I saw that I was incorrect.
Here is what I did.
(a)
$$W=-\int_{V_i}^{V_f} PdV\tag{1}$$
$$V=V(P,T)-\frac{nRT}{P}\tag{2}$$
$$dV=\left ( \frac{\partial V}{\partial P}\right...
It seems to me that we can already answer b): if gas leaks from the high pressure container to the atmosphere, there is no expansion work. The container loses gas, which means in ##PV=nRT## we have ##n## going down and ##P## going down, and perhaps ##T## going down.
But no work.
As for a), I...
I'd like to show two different ways of defining work in a hydrostatic (PVT) system in a cylinder with a piston.
One way is in a book that I have slowly come to hate: Physical Chemistry by Silbey, Alberty, and Bawendi.
In that book, work is defined using the external pressure on the piston...
(a)
(b)
Here is a plot of this function T of R
It seems that as the resistance goes up the temperature goes down. Not sure what to make of this physically speaking.
My question is about the requested log-log graph.
Above we have a function T of R, but we want a function ##\log{T}## of...
Here is the table
As far as I can tell what we have here are four constant-volume thermometers (each column represents a thermometer). These thermometers work by having a certain constant volume of some specific gas in a bulb. We immerse the bulb in whatever temperature we would like to measure...
I posted another question about a thermodynamic system with three coordinates, namely, that of a metallic wire. We can describe that system with temperature, wire tension, and wire length.
The result derived in that question was that the partial derivative of wire tension relative to absolute...
I have a question about a derivation I saw in the book "Heat and Thermodynamics" by Zemansky and Dittman.
A "sufficiently complete" thermodynamic description of a wire is given in terms of only three coordinates
1. tension in the wire, ##\zeta##
2. length of the wire, ##L##
3. absolute...
It took me a while to understand (I think) the concepts below. I have two questions.
1) What does "absolute" mean in the term "absolute temperature scale"?
2) What is the difference between the two constant-volume hydrogen gas thermometers (one at high pressure the other at low pressure)...
In addition, "not all boundaries permit the transfer of energy even though there is a temperature difference between the system and its surroundings. Boundaries that do permit the transfer of energy as heat are called diathermal; those that do not are called adiabatic."
If we have an...
Is the following quote accurate:
"The fundamental property in thermodynamics is work: work is done to achieve motion against an opposing force"
Specifically, I am asking about the portion after the colon. I am a little confused by the notion of an opposing force.
Let's say we are in outer...
Here is the reasoning as it appears in the book.
Consider the following setup
Work (w) is a scalar quantity defined ##w=\vec{f}\cdot\vec{L}##.
where ##\vec{f}## is the vector force and ##\vec{L}## is the vector length of path.
If the force vector of magnitude ##\lVert \vec{f}\rVert## and...
As our sun and the other stars evolved from gravitationally led aggregations of hydrogen gas which permeated our early universe then that is an example of a high entropy system becoming a low entropy system and the so-called "arrow of time etc." was reversed?
Last month @Chestermiller opened the thread: Focus Problem for Entropy Change in Irreversible Adiabatic Process.
I couldn't wrap my head around something apparently simple but the thread was not about that so I was instructed to open a new thread to discuss it separately and keep the original...
I was trying to solve the following problem at the end of chapter 1 of the book "Physical Chemistry", 4th Edition, by Silbey, Alberty, and Bawendy:
Here is the information I collected about this topic in the chapter:
1) Intensive properties of a gas remain the same for any subsystem of a...
Here is the figure I would like to understand
First of all, I don't see a specific surface. In the middle plot, I see what looks like the innards of a solid cube that has a large piece cut off.
There is also an arrow annotated as "T=const". It is not clear what this arrow is pointing to. I...
Here is the reasoning.
We have three systems (A, B, and C) each consisting of a certain mass of a different fluid (ie, a gas or a compressible liquid).
For the systems we are considering, we know from experiment that pressure and volume are independent thermodynamic variables and that the...
but at the same time give true essence of fundamental quantities i.e. what truely is heat?
I have read couple of books where each book gives definition of quantities but not its essence.
As far as I know, entropy could be reversed by the Poincaré recurrence theorem if it had a finite horizon given by some amount of vacuum energy causing an accelerating expansion.
However, I found this lecture by Leonard Susskind () where he tells a way through which the vacuum could decay into...
Hello all,
For a project I really need to know some number i can't seem to produce myself.
we are flashing water @75 degrees Celsius, the water after flash-cooling is 67 degrees constant pressure is 0.27 bar (absolute) flow rate is 15000 KG/per hour.
how much water is vaporized?
Help is much...
My name is Willem, I work in a Dairy trying my best to optimize improve processes and working methodes.
Thermodynamics other than simple heat ex-echangers is beyond my knowledge but need it!
Hello all,
For a project I really need to know some number i can't seem to produce myself.
we are flashing water @75 degrees Celsius, the water after flash-cooling is 67 degrees constant pressure is 0.27 bar (absolute) flow rate is 15000 KG/per hour.
how much water is vaporized?
Help is much...
My question emerges from my desire to calculate the optical depth, which should be unitless, for an inhomgeneous cloud of radius ##r##. For a homogeneous medium, the optical depth can be defined in terms of the density of a cloud relative to the density of the condensed medium:
$$\tau = \alpha...
Thermodynamics deal with quantum mechanics all the time, so I wondered what role it played in a internal combustion engine. Could we calculate it and how does it affect the engine's final output?
In his Chapter 13.3 (2nd edition), Callen gives the standard form for the virial expansion for the mechanical equation of state of a fluid as an exapnsion in powers of the molar volume ##v##:
$$P = \frac{RT}{v}\left(1 + \frac{B(T)}{v} + \frac{C(T)}{v^2} + \dots \right) \equiv P_{ideal} +...