Thermodynamics Definition and 1000 Threads

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.

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  1. Ron Burgundypants

    Modeling an Einstein solid that is coupled to a paramagnet

    I'm working on a project at university to calculate the magnetocaloric effect of dysprosium. This will be done using a new technique designed at the university of which its not necessary to go into detail about. In short, the Dy is placed in a solenoid, through which a current runs, the current...
  2. P

    What is the relationship between TdS and dU in the thermodynamics identity?

    Has some sense write in the thermodynamics identity the terms TdS and dU at the same side of the equation and with the same sign? what would be this sense?For example PdV=TdS+dU
  3. NFuller

    Statistical Mechanics Part II: The Ideal Gas - Comments

    Greg Bernhardt submitted a new PF Insights post Statistical Mechanics Part II: The Ideal Gas Continue reading the Original PF Insights Post.
  4. lookez

    Thermal dilation formula discrepancy?

    Considering the linear thermal dilation formula ΔL=Li*a*ΔT (length change equals initial length times thermal dilation coefficient times temperature change), I was wondering why does it not work backwards? am I using it wrong or is there something missing? For instance if we assume a=5*10^-5 ...
  5. G

    Why Might Statement (b) Be Incorrect in Ideal Gas Processes?

    Homework Statement Which of the following statement(s) is (are) correct when an ideal gas goes from an initial to a final state in a single process? a. No work is done on or by the gas when the volume remains constant. b. No energy is transferred into or out of the gas as heat transfer when the...
  6. A

    Why is the work done considered negative in this thermodynamics problem?

    <Moderator's note: Approved although without template. Member has been warned.> An ideal gas is taken along the path AB (see fig.). If 70 calories of heat is extracted from the gas during the process, calculate the change in internal energy during the process. My attempt : Work done in the...
  7. P

    I Thermodynamics of Black Holes: Analyzing Carnot Cycles

    Hello, I did read one paper about the Carnot cycle in a black hole. https://arxiv.org/pdf/1404.5982.pdf After formula (15) this paper says: 1) "The vanishing of CV is the “isochore equals adiabat” result, specific to static black holes, making our Carnot cycles particularly simple to make...
  8. R

    I Heat death of the universe and the 3rd law of thermodynamics

    If the universe keeps expanding and eventually ends in a "big freeze" or heat death, does this contradict the third law of thermodynamics? The third law of thermodynamics states that a crystal at absolute zero has zero entropy. Since the entropy of the universe can never decrease, as the age...
  9. C

    How Does Temperature Affect pKa Values in Buffer Preparations?

    Homework Statement I am preparing a phosphate and a bicarbonate buffer at pH 7.4. I am not using the tradition of making a "rough" buffer and then adjusting the pH to the desired value as I want to target a certain value of osmolarity in both buffers. As such I just want to do all calculations...
  10. T

    B Adiabatic or Isobaric process?

    Consider the following problem: Gaseous helium (assumed ideal) filled in a horizontal cylindrical vessel is separated from its surroundings by a massless piston. Both piston and cylinder are thermally insulating. The ambient pressure is suddenly tripled without changing the ambient temperature...
  11. AbbeyC172

    Rearranging Equation for Thermodynamics Question

    Homework Statement I am trying to figure out how to get the V2^2 alone and I feel that this is very basic rearranging of equations but I have been stuck on it forever now. Thank you so much in advance. -75 kj/s= 4.09 kg/s (-190.3 +...
  12. E

    Confusion about relation of entropy with temperature.

    Why can sometimes entropy remain constant with increase of temperature and vice versa?Entropy implies transfer of heat and heat must increase with temperature.I am unable to intuitively understand.
  13. tito agiffaz efata

    Steam heating system transfers heat to a room (Thermodynamics)

    Homework Statement A steam heating system is used in winter season, The radiator of a steam heating system has a volume of 25 liters and is filled with superheated water vapor at 200 kPa and 200C. At this moment both the inlet and the exit valves to the radiator are closed. After a while it is...
  14. P

    Photon upconversion and second law of thermodynamics

    Wiki states: Photon upconversion (UC) is a process in which the sequential absorption of two or more photons leads to the emission of light at shorter wavelength than the excitation wavelength. https://en.wikipedia.org/wiki/Photon_upconversion Is it possible to have the emitted light with the...
  15. E

    Why does entropy increase when hot water is mixed with cold?

    Why is entropy lost by hot water less than the entropy gained by the cold water?From perspective of energy,why is it better to take water and heat it to a temperature than it is to mix hot water and cold water to get a particular temperature.
  16. L

    Learn Thermodynamics: Best Resources & Textbooks

    Hello, being kind of new to thermodynamics, does anybody have any recommendations where a good place to start learning is. Any online info or textbook I could buy? Thanks
  17. S

    Thermodynamics equilibrium constant problem

    Homework Statement N2 + 3H2 --> 2NH3 (all gases) Why is such a high pressure needed? Calculate the equilibrium constant at 500k then estimate the percentage conversion at equilibrium at 1 bar total pressure, assuming the stoichiometric ratio of N2:H2 is 1:3. Repeat the process at 50 bar...
  18. T

    1st Law of Thermodynamics?

    So it is stated that exothermic reactions are the ones where the heat of reaction is positive and endothermic reactions are the ones where the heat of reaction is negative. My question is: why is this so, when in the 1st law of thermodynamics, where ΔU=Q+W it is stated that Q is positive if...
  19. I

    How Do You Calculate Work Done in a Thermodynamic Process?

    Homework Statement Unit mass of a fluid at a pressure of 3 bar, and with a specific volume of 0.18 m^3/kg, contained in a cylinder fitted with a piston expands reversibly to a pressure of 0.6 bar according to the law p = c/v^2 , where c is a constant. Calculate the work done during the...
  20. S

    Chemistry Why Divide the Moles of K by 2 in Combustion Calculation?

    Homework Statement A sample of K (s) of mass 2.740g undergoes combustion in a constant volume calorimeter at 298.15K . The calorimeter constant is 1849 J/K , and the measured temperature rise in the inner water bath containing 1450 of water is 1.60K Calculate the internal energy of formation...
  21. T

    What is the Correct Value of the Index n in Gas Compression?

    Homework Statement [/B] In a closed system a gas is compressed from a pressure of 3 bar absolute to a pressure of 5 bar absolute, and its volume changes from 0.9m^3 to 0.6m^3 according to the law P1V1^n = P2V2^n. Calculate: The value of the index n. Homework Equations P1V1^n = P2V2^n The...
  22. AbbeyC172

    Thermodynamics: Ideal Gas Law, find the temperature

    Homework Statement A 3-ft^3 container is filled with 2-lbm of oxygen at a pressure of 80 psia. What is the temperature of the oxygen?Homework Equations pV= nRT T= PV/nR R= 10.7316 psia x ft^3/ lbmol x R The Attempt at a Solution Hi everyone! So I understand how to use the Ideal Gas Law but my...
  23. O

    Nearly Perfect Efficiency - 2nd Law of Thermodynamics

    Recently read this article on Physorg: https://phys.org/news/2018-01-efficiency.html My questions are: 1. If "converting" information into energy requires a system (the demon I suppose) having a photodiode, processor, laser (light trap) all expending energy in order to cause the conversion...
  24. S

    What is constitutional undercooling?

    Homework Statement What is constitutional undercooling? What are it's effects? Homework EquationsThe Attempt at a Solution Undercooling is when the liquid has a below freezing temperature. However konstituntial undercooling occurs during solidification when the liquid is brought to freezing...
  25. E

    How long to heat a given volume of air?

    Homework Statement I am working on a problem where I need to determine the time taken for an air heater with an 8kW output to heat a volume of air of 9m^3 by 25C. I am neglecting all losses at the moment. It almost seems too simple in my mind that I'm concerned I'm overlooking...
  26. NFuller

    Statistical Mechanics Part I: Equilibrium Systems - Comments

    Greg Bernhardt submitted a new PF Insights post Statistical Mechanics Part I: Equilibrium Systems Continue reading the Original PF Insights Post.
  27. lavendly

    Final temperature of the water after adding heat?

    Homework Statement You add 1500 cal of heat to a cup of water at 22.5ºC. The water has a mass of 500.0g. What is the final temperature of the water? Homework Equations Q=mcΔT The Attempt at a Solution so i tried solving it by finding the energy of the water Q=(500g)(1.0cal/g)(22.5ºC) Q=11250...
  28. D

    Small issue regarding the wording of a thermodynamics question

    Homework Statement The issue is the word 'increase' in c)iii), where I'm pretty sure the wording should have been 'decrease' or at least 'change', since both the work done and the heat removed have a negative value. Homework Equations dU = dQ + dW (1st law) The Attempt at a Solution My...
  29. Pushoam

    Maximum work done by a Carnot engine

    Homework Statement Homework EquationsThe Attempt at a SolutionTaking the engine to be a Carnot engine, ## \eta = \frac { T_h – T_c } {T_h} = \frac { W} {Q_h} ## ...(1) ## Q_h = C(T_h – T_f) ...(2) \\ Q_c = C(T_f – T_c) ...(3) \\ W = Q_h – Q_c = C(T_h + T_c – 2 T_f) ## ...(4)Solving...
  30. Ahmed XMEDOX

    Thermodynamics: Designing a hydrocooling unit

    Homework Statement A hydrocooling unit can cool fruits and vegetables from 30 to 5 C at a rate of 20,000 kg/h under the following conditions: the channel is 3 m wide by 90 cm high. The water is circulated and cooled by the evaporator section of a refrigeration system. The refrigerant...
  31. MathematicalPhysicist

    Question about Gibbs free energy from Kubos' Thermodynamics

    Advanced Problems textbook. (It's on pages 212-213). I'll post the question and following it the solution in the book: The question: The Solution: What I don't understand is how did they arrive at the identities with ##\frac{\bar{G}_1''-\bar{G}_1'}{0}## and...
  32. Pushoam

    Standard deviation of V_x of He gas

    Homework Statement Homework EquationsThe Attempt at a Solution ## \frac 1 2 m<v_x^2> =\frac 1 2 k_BT , \\ \sqrt{ <v_x^2>} = 556~ m/s ## So, I guess that the standard deviation should be less than rms speed. So, the option is (a) ## \left< ax + b \right> = a\left<x\right> + b...
  33. K

    Can't understand how flow work is possible in a control volume

    I am struggling to fully grasp the concept of flow work for a non-deformabable control volume. Nearly every source puts it in this way: flow work is the work required to push fluid into and out of the control volume and as such is defined as Pv on a unit mass basis. But how can this work be...
  34. V

    Partial derivatives and thermodynamics

    Hi all. Suppose I have the ideal gas law $$P=\frac{RT}{v}$$If I'm asked about the partial derivative of P with respect to molar energy ##u##, I may think "derivative of P keeping other quantities (whatever those are) constant", so from the formula above I get $$\frac{\partial P}{\partial...
  35. Paul Howard A

    I Is Expansion of Space Affecting Gravitational and Nuclear Forces?

    I was thinking about the expansion of space. It seems clear that objects that are bound by gravitation or the strong nuclear force do not experience an increase in size as the universe continues it's expansion. However, such systems do contain abundant space. It is argued that gravitation and...
  36. A

    Thermodynamics- Piston problem, pressure, internal energy

    Homework Statement Homework Equations F= ma P= F/A The Attempt at a Solution a). Assuming the piston is in equilibrium, I'm applying Newton's second law F=ma=0 Equals zero because it is not moving Note: P=F/A which I rearrange to solve for the force for F= PA. This represents the...
  37. Pushoam

    Is the 2nd Law of Thermodynamics a Fundamental Law or a Statistical Principle?

    Homework Statement Homework EquationsThe Attempt at a Solution I think the correct option is (a) and (d) from the book reading.About the option (c), the second law of thermodynamics tells us the direction of heat flow. I think it is a fundamental law, it could not be derived.
  38. R

    Logic applied to making isothermal assumption

    Homework Statement A thin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. The rod (A) has a thermal conductivity of kA = 0.15 W/(m*K), while the tube (B) has a thermal conductivity of kB = 1.5 W/(m*K) and its outer...
  39. D

    Thermodynamics: box with a moving wall

    I have a doubt regarding the answer, a box separated by a movable wall has two compartments filled by a monotonic gas .Initially the volumes are equal but the pressure are 3P and P respectively .When the wall is allowed to move the final pressure is...
  40. K

    Correct statement of 2nd law of thermodynamics?

    Thermodynamics is stated in different ways. E.g. In isolated systems entropy never decreases Heat never spontaneously pass from colder to warmer body Total energy quality decreases in all processes. Energy disperses But what is it exactly? What is the correct description of the 2nd law of...
  41. 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...
  42. M

    Problem set with air conditioners and thermodynamics

    Homework Statement You're in Paris, working on your first novel and short on cash. The owner of the cabaret downstairs has offered to take care of your rent if you'll help her design a climate control system for the place. It gets too hot and damp in the summer, and too cold and dry in the...
  43. J

    Unsure Regarding Temperature Model for an Open System

    Hi guys, I am currently working on my master thesis. I am supposed to make a dynamic model for a gas system and have some trouble setting up the energy balance. I am a noob when it comes to uploading pictures, so I don't have a figure for this, but let's consider a general control volume (CV)...
  44. V

    Thermodynamics Final Temperature of Water

    Homework Statement A certain mass of water in a copper pot is heated over a stove that releases joules of heat to heat the water. Later the same mass of water in an aluminum pot is heated over another stove that releases the same amount of heat in order to heat the water. Then the water in...
  45. H

    Calculating entropy for an adiabatic system

    Homework Statement A container of 1.5 Kg of gas is at a temperature and pressure of 293 K and 1 bar respectively. The gas is adiabatically compressed until its temperature and pressure are 450 K, 4.49 bars. Adiabatic processes are processes with no heat transfer. The properties of this...
  46. M

    Cooking (Thermodynamics) Problems

    Homework Statement 1. You are cooking a meal in your kitchen and have just put a pot of frozen soup on the stove to defrost. You turn on the burner and, when you ignite the gaseous fuel (methane or propane), there is a dramatic increase in the gas's thermal energy. Where did that thermal...
  47. T

    Pressure caused by beam of molecular oxygen

    Homework Statement A beam of molecular oxygen containing 1010 molecules/cm3 and average speed of 500 m/s strikes (elastic collision) a plate at an angle of 30º with the normal direction. Calculate the exerted pressure on the plate. Homework Equations P = Impluse x Flux The Attempt at a...
  48. Matt James

    Thermodynamics: Calculating Pressure Increase From Work

    Homework Statement Estimate the pressure increase required to impart 1 J of mechanical work in reversibly compressing 1 mol of silver at room temperature. What pressure rise would be required to impart 1 J of work to 1 mol of alumina at room temperature? For alumina take the molar volume to be...
  49. patrickmoloney

    Optimizing Refrigerator Efficiency: Solving for Necessary Power Draw

    Homework Statement Suppose that heat leaks into your kitchen refrigerator at an average rate of 300W. Assuming ideal operation, how much power must it draw from the wall. Homework Equations \eta = \dfrac{T_C}{T_H - T_C} W= \dfrac{Q}{COP} The Attempt at a Solution A typical refrigerator...
  50. W

    Thermodynamics: Comment on mistake

    Homework Statement Suppose you have a mole of water at 25##^{\circ}## at atmospheric pressure. You then raise its temperature to 30##^{\circ}##. Determine the change in Gibbs free energy. To compensate for the change, once can raise the pressure on water, how much pressure you need to increase...
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