What is Thermodynamics: Definition and 1000 Discussions
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.
Greetings everyone! I have been a long-time lurker on here and have just recently signed up. I'm unsure if this was the correct forum to post this in, so I apologize in advance. My question isn't exactly homework per se - I am currently studying for my MCAT and have been trying to wrap my head...
Homework Statement
Water vapor at 6 MPa, 600C enters a turbine operating at steady state and expands to 10 kPa. The mass flow rate is 2 kg/s, and the power developed is 2626 kW. Stray heat transfer and kinetic and potential energy effects are negligible. Determine (a) the isentropic turbine...
Homework Statement
As shown in Fig. P5.39, a system undergoing a power cycle develops a net power output of 1 MW while receiving energy by heat transfer from steam condensing from saturated vapor to saturated liquid at a pressure of 100 kPa. Energy is discharged from the cycle by heat transfer...
Question
A mass of 1.5 kg of air at 120 kPa and 24 C is contained in a piston-cylinder device. The air is compressed to a final pressure of 600 kPa. During the process heat is transferred from the air such that the temperature inside the cylinder remains constant. Calculate the work input...
This question involves a bit of background, so please be patient. I understand that the heat absorbed by ice's phase change from solid to liquid is much greater than the amount that results from the difference in temperature of the ice and the ice cream batter. So the primary cooling effect is...
I want to solve Irodov's problems in thermodynamics and for this I need a good textbook.
I have Heat and Thermofynamics, Dittman and Zemansky. Should I read this book or should I go for another book?
Someone showed this to me, and I'm struggling to explain why this perpetual motion scheme is impossible.
A picture:
Basically, this is a cylinder within a large reservoir, with water at the level of the reservoir water level. The mass would be dropped and then reach the bottom of the cylinder...
Homework Statement
Air contained in a piston–cylinder assembly, initially at 2 bar, 200 K, and a volume of 1 L, undergoes a process to a final state where the pressure is 8 bar and the volume is 2 L. During the process, the pressure–volume relationship is linear. Assuming the ideal gas model...
Homework Statement
This is a question from an exam that my university determined to be so harsh that they allowed resits with uncapped grades. I'm going to be taking such a resit thus I'm trying to figure out the paper:
Air at 10oC and 80 kPa enters the diffuser of a jet engine steadily with...
I was looking at the fundamental equation ##dU = Tds - Pdv + \sum_i \ \mu_i \ dN_i## and I was thinking of how many different ways one has for deriving it.
I know I have to look through a book on Thermodynamics. I actually have done that some time ago and I will do that again. But the following...
Homework Statement
Steam at a pressure of 4 MPa and 400 C and flow rate of 10 kg/s is expanded in a turbine to a pressure of 10 kPa. If the isentropic efficiency of the turbine is 0.85 then the actual power produced by the turbine is?
Homework Equations :[/B]
ηt= (m(h1-h2))/(m(h1-h2s)) = (W...
Hey guys,
I ran into this paper talking about the Maximum power you can obtain from a Carnot cycle: http://aapt.scitation.org/doi/abs/10.1119/1.10023 From what I understood, there are two extremes. To achieve maximum efficiency you have to make sure that the temperature of the system is never...
Homework Statement
An ice cube at the melting temperature that has a mass of 20 g, is struck by a bullet with
a mass of 9 g, flying at a certain speed. Determine the speed of the bullet, if it is known that
one third of his energy was consumed to break the ice, and the remainder to melt it...
Good evening everyone,I had several questions regarding basic thermodynamics. After going to Paris Airshow (Le Bourget), lot's of questions came to my mind after looking at those beautiful Jet engines...I have always had a very basic understanding on these engines: a fan, a compressor (High and...
In order to better explain my question let me give a precise situation and then state my question
Say I have a well insulated rigid container containing some mass m of a saturated liquid-vapor mixture of water at some pressure P1. Initially it's at some quality x1. An electric resistance heater...
Homework Statement
A mass of gas occupying volume V1 = 2 m3 at the pressure P1 = 4*10^5 Pa performs the cycle represented in the Figure that i have uploaded.What is the work of gas in this cycle, knowing that the pressure P2 = 10^5 Pa
Homework Equations
Work=1/2 * (P1 - P2) * (V1 - V3)
The...
Does a system with zero entropy represent the thermal equilibrium at some temperature = 0K? Does the second law of thermodynamics entail that the system will eventually evolve to higher entropy?
e.g. a system of 7 magnetic dipoles of paramagnetic spin-1/2 particles in an external magnetic...
Consider the first paragraph of this paper - https://arxiv.org/abs/gr-qc/0611004:
A fundamental problem in thermodynamic and statistical physics is to study the response of a system in thermal equilibrium to an outside perturbation. In particular, one is typically interested in calculating the...
Homework Statement
Vapors of 100 C is added to an ice cube of 0 C.
How much of the ice cube has melted and what's the final temperature if the masses of the steam and the ice cube are 10.0 g & 50.0 g respectively?
Homework Equations
Lw = 3.33 x 105 J/kg
cw = 4186 J/kg*C
Q = m*c*ΔΤ
Q =...
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...
Homework Statement
Please look at the below images which is the derivation of the relation between the internal energy of an ideal gas and the molar specific heat at constant volume. (Snaps taken from Fundamentals of Physics
Textbook by David Halliday, Jearl Walker, and Robert Resnick)
As...
Several questions:
What does compression actually means? In the case of isentropic calculations a changed in density (or specific volume) is included in the calculations (isentropic.jpg) so isentropic means that compressibility is included in those calculations or what?In a previous thread, a...
. Consider a pump that is required to compress air in a factory. The cylinder in the pump has an inner
diameter of 2.00 cm and length 60.0 cm. Air is drawn into the pump at atmospheric pressure and
18 degrees celcius and the pump adiabatically compresses the air to a pressure of 17...
At my community college, the first calculus based physics courses (the predecessor to modern physics) are split into 3 semesters: mechanics, electromagnetism, and thermodyamics/light. As long as you take the mechanics part first, you can choose which one to take next. This summer session is 8...
Homework Statement
Consider a model thermodynamic assembly in which the allowed (nondegenerate) states have energies 0, ε, 2ε, 3ε.The assembly has four distinguishable (localized) particles and a total energy U = 6ε. Tabulate the nine possible distributions of the four particles among the...
I have a relatively simple design problem but my memories of thermodynamics are very rusty and I can't figure it out on my own.
To make it short, I want to put a mix of solid, water and air in a 500mL pressure vessel and heat it all up to 250'C for several weeks. T and P are at room conditions...
Some say there is analogy in the Born rule in thermodynamics where the particles locations depend on the probabilities. In QM, the amplitude square is where you have the probability of the particles being there. How about in thermodynamics.. what is the counterpart of the Born rules, and what...
From what I know, the law says that disorder increases over time.
But, when a building is constructed the disordered bricks,cement etc. take form of the ordered building.
Am I wrong or is this an exception?
Hi !
I'm having a bit of trouble understanding something.
Let 'u' be internal energy, 'h' enthalpy, 'e' work and 'q' heat. ('r' are dissipations and 'S' entropy)
From a book , i read that de+dr=PdV= -du + TdS
This seems to stand for closed cycle.
Yet, my teacher uses the formula
de+dr=vdP=...
Homework Statement
So I sent a humidity sensor up in a weather balloon, which gave a reading for relative humidity. I eventually want an absolute humidity, but I am unsure whether I need to correct the output based on the changing density and atmospheric pressure with altitude.
Homework...
Hi. This is the problem 5.1-1 from the second edition of Callen's Thermodynamics. It says
Formulate a proof that the energy minimum principle implies the entropy maximum principle. That is, show that if the entropy were not maximum at constant energy then the enrgy could not be minimum at...
Homework Statement
https://holland.pk/uptow/i4/1ca04ddf7c25f6c63e307720c34a4ff3.png
Homework Equations
First principle of thermodynamics: E=q+w
The Attempt at a Solution
E=q+w=-17+21=4kJ>0
∴Endothermic (absorb heat from surrounding)
(a) false (from surrounding to the system)
(b) false (does...
Given that in a Carnot Cycle the two adiabatic processes are essentially equal and opposite in magnitude the total work done by the cycle is in the two isotherms. The total work of the system is generally given as -NR(Th-Tc)ln(Vb/Va). Does this mean that the work done by a monatomic ideal gas is...
This is more of a recurring conceptual doubt that I keep on running into when solving thermodynamics problems. We are taught that variations between extensive state variables in equilibrium are given by the following 'fundamental formula':
dE = TdS + \mathbf{J}\cdot{d}\mathbf{x} +...
Homework Statement
(Simplified)
During tests at cliffside power station, the following data was recorded from the cooling tower.
A cooling tower has a 9 cell draft design, each diameter is 10m.
Data
D_o = 10m
V_exit = 14.4 m/s
T_exit(15 celsius) = 288.15K
Ambient conditions : T(15 celsius) =...
If we consider function ##z=z(x,y)## then ##dz=(\frac{\partial z}{\partial x})_ydx+(\frac{\partial z}{\partial y})_xdy##. If ##z=const## then ##dz=0##. So,
(\frac{\partial z}{\partial x})_ydx+(\frac{\partial z}{\partial y})_xdy=0
and from that
\frac{dx}{dy}=-\frac{(\frac{\partial z}{\partial...
Homework Statement
Homework Equations
P = k A \frac{dT}{dx}
The Attempt at a Solution
a)
Assuming steady state transfer, energy transfers through rods at the same rate everywhere.
Letting T be the temperature at the point of welding.
P_1 = k_1 A \frac{T_h-T}{L} \\ P_2 = k_2 A \frac{T -...
Thermal coefficient of pressure is defined by
\gamma=\frac{1}{P}(\frac{\partial P}{\partial T})_V . Why in books authors uses ##\gamma=\gamma(P,T)## and no ##\gamma=\gamma(P,T,V)##. Could you explain me this. I am sometimes confused with this dependences in thermodynamics.
One big coincidence of thermodynamics is that automobiles are usually powered by an Otto cycle This cycle consists of an adiabatic compression (the cylinder compresses), isochoric compression (the fuel ignites, increasing the temperature in too short a time for the piston to move), adiabatic...
Mechanical Engineering Undergrad here:
So this didn't seem explicitly like a homework question, but I was wondering how to describe a solar cell in terms of thermodynamics. If I had to model it with the first law of thermodynamics, I would consider it a simple loop of heat/work exchange...
a cylindrical tank with volume V
a volume of water is inside the tank and the rest is air
now if coal combustion is releasing heat into the tank Qin
and when the gauge reads a certain pressure "P", the valve is opened which allows steam to exit the boiler
what's the mass flow rate of the steam?
Moving fluids are generally in a state of non-equilibrium. However, in fluid dynamics, people generally assume a state of local thermodynamic equilibrium and argue that in such a condition, equilibrium thermodynamic concepts such as pressure, temperature, entropy, internal energy etc. can be...
Hello.I have a question about entropy of a thermodynamic system.
1)If we have let say a gas that is separated by some thermo isolated walls (so no heat goes in or out) does the entropy of that gas conserve? I taught that if S=dQ/dt, because Q=0,then the entropy should be conserved.
2)So,does the...
Homework Statement
Sketch a diagram of internal energy (y-axis) versus temperature in the range from -10°C to +112°C to indicate how energy would change for a fixed quantity of water in its three phrases. Label and explain the main features of the variation.
Homework Equations
The Attempt at...
When a gas in a closed system is compressed, should the graph always be non-linear? If T is constant ie if the process isothermal it is clear that it should be so but I am not very sure that if the graph can be horizontal. If T decreases might not it be horizontal?
Thank you.
Is forcing a closed system to expand (e.g. by pulling out a piston), causing it to cool, work done to the system or work done by the system? I assume it was work done to the system, but that means the first law of thermodynamics formula no longer balances if you assume an adiabatic change...
I'm trying to design a double pipe heat exchanger for two different water lines. One line is chilled water of approximately 7degC and the other is chilled water return from an air handling unit, of around 12degC. I want to design this heat exchange for a capacity of approximately 22kW. The part...
Homework Statement
There exists a tank filled with air with a given volume, temperature, and pressure. The tank exists in a room at a given temperature and pressure.
That is:
For the tank: P=1MPa, T=700k, V=1m^3
Outside: T=295K, P=100kPa
Homework Equations
\psi 2-\psi...
I'm sure I read somewhere in my physics books that non-locality is required in order to maintain the integrity of the 1st Law of Thermodynamics. Is that correct? If so, that seems to require one or more additional spatial dimensions via which the total amount of energy is maintained. What...
How would one approach part I and II? In terms of thermodynamics I'm not sure how I can show that this hypothesis is true. Could I work out the equilibrium constant and make a decision based on its magnitude? For example if it is >>> 1 then the hypothesis is true, would that be correct?
For the...