What is Equilibrium: Definition and 1000 Discussions

Thermodynamic equilibrium is an axiomatic concept of thermodynamics. It is an internal state of a single thermodynamic system, or a relation between several thermodynamic systems connected by more or less permeable or impermeable walls. In thermodynamic equilibrium there are no net macroscopic flows of matter or of energy, either within a system or between systems.
In a system that is in its own state of internal thermodynamic equilibrium, no macroscopic change occurs.
Systems in mutual thermodynamic equilibrium are simultaneously in mutual thermal, mechanical, chemical, and radiative equilibria. Systems can be in one kind of mutual equilibrium, though not in others. In thermodynamic equilibrium, all kinds of equilibrium hold at once and indefinitely, until disturbed by a thermodynamic operation. In a macroscopic equilibrium, perfectly or almost perfectly balanced microscopic exchanges occur; this is the physical explanation of the notion of macroscopic equilibrium.
A thermodynamic system in a state of internal thermodynamic equilibrium has a spatially uniform temperature. Its intensive properties, other than temperature, may be driven to spatial inhomogeneity by an unchanging long-range force field imposed on it by its surroundings.
In systems that are at a state of non-equilibrium there are, by contrast, net flows of matter or energy. If such changes can be triggered to occur in a system in which they are not already occurring, the system is said to be in a meta-stable equilibrium.
Though not a widely named "law," it is an axiom of thermodynamics that there exist states of thermodynamic equilibrium. The second law of thermodynamics states that when a body of material starts from an equilibrium state, in which, portions of it are held at different states by more or less permeable or impermeable partitions, and a thermodynamic operation removes or makes the partitions more permeable and it is isolated, then it spontaneously reaches its own, new state of internal thermodynamic equilibrium, and this is accompanied by an increase in the sum of the entropies of the portions.

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  1. W

    Statics Questions - Equilibrium in a pulley system

    Homework Statement Find the value of W to maintain equilibrium Homework EquationsThe Attempt at a Solution I have split the system into two, creating a triangle. From this I have a right angle triangle with an adjacent of 2m, opposite of 0.6m and an hypotenuse of 2.088m (calculated through...
  2. M

    Pressure equilibrium -- I am getting my math wrong somewhere

    Homework Statement The equilibrium constant, Kp, for the following reaction is 0.636 at 600 K: COCl2(g) CO(g) + Cl2(g) Calculate the equilibrium partial pressures of all species when COCl2(g) is introduced into an evacuated flask at a pressure of 1.73 atm at 600 K. Homework Equations...
  3. curiousAV

    Rotational Equilibrium Independent of origin. How?

    Why is rotational equilibrium condition independent of origin about which torques are taken?
  4. AotrsCommander

    Greenhouse effect on planetary equilibrium temperature help

    I am trying to back-calculate the greenhouse effect on planetary equilibrium temperature for Earth (in the hope I can then attempt applying it to other calculations.) I know that the actual equilibrium temperature of Earth is 287.89K, +33K above the calculated equilibrium temperature: Teq = (Q...
  5. D

    Equilibrium in 2D: Finding Tension and Support Reactions in a Cable System

    Homework Statement A pole supporting a pedestrian and traffic light is shown. Neglecting the weight of the cables. Find the tension in the cables and and the support reactions at A,B,E. Mass of traffic signal 20kg Mass of pedestrian signal 10kg Mass of beam BCD 5kg center of gravity C Mass of...
  6. Buzz Bloom

    Question re equilibrium abundance of a protons and electrons

    I am thinking of a time period between two events: 1. After the annihilation of most protons/neutrons with all anti-protons/anti-neutrons, and 2. Before the annihilation of electrons and positrons. During this period the temperature decreases from T1 to T2. T1 is the highest temperature at...
  7. B

    What Side of the Bromothymol Blue Equilibrium is Favored?

    Homework Statement Bromothymol blue is an acid-base indicator. When in solution, it forms the following equilibrium: HInd(aq) ⇌ H+(aq) + Ind-(aq) What side of the equilibrium is favored while the solution is in the bromothymol blue bottle?Homework Equations Keq = [(C)c(D)d]/[(A)a(B)b] The...
  8. T

    Isothermal Settling (aka sedimentation equilibrium)

    Is anyone familiar with these terms or the experiments involved? I have a lot of questions regarding them. Thank you guys.
  9. Issy04

    Resolving forces in equilibrium on inclined plane

    Homework Statement Solve for the forces P and N acting on an object in equilibrium on an inclined plane. Weight=10N, angle is 30 degrees http://blob:https%3A//www.physicsforums.com/d431a152-5681-411b-ba57-809320539165 Homework Equations Trigonometry, i.e. sin, cos, tan rules. The 'Z' rule...
  10. H

    Can Resolving Forces Differently Lead to Contradictory Equations?

    Hi ! So a friend and I were solving some mechanics problems in class today. And we came across a pretty funny mathematical paradox. So basically we tackled the problem in different ways...but we ended up with different equations...and none of us could prove the other wrong ! So here goes... The...
  11. G

    Newton's 3rd law and force equilibrium

    Hi. Assume a rock lying on the ground. Furthermore, let's assume both the rock and Earth to be rigid bodies. I'm a bit confused about force equilibrium and Newton's 3rd law here. There's Earth's gravity acting on the rock, and by Newton's 3rd law (or just by looking at the law of gravity) the...
  12. S

    Equilibrium: max distance traveled; undisturbed tension

    Hi, I need some guidance on the following problem, please. A daredevil attempts to walk the full length of suspended. A 20 kg wrecking ball hangs at the end of this uniform beam of length 4 m and mass 10 kg and is attached to a hinged wall at an angle of 53 degrees. A cable attached to the wall...
  13. M

    Static Equilibrium: Solving Homework Questions

    Homework Statement Homework EquationsThe Attempt at a Solution [/B] 8) The mass is in static equilibrium meaning the sum of all the forces acting on it are equal to 0. Both sides are holding have the same tension because they have the same angle. SINΘ = (Opposite) / Hypotenuse = Hypotenuse...
  14. P

    Equilibrium and find static friction

    Homework Statement Homework EquationsThe Attempt at a Solution I had someone help me with this problem (not on here) and their process and units don't seem to match to me. Or is this correct?
  15. C

    Equilibrium Question Involving boat and scale

    Homework Statement A trailer carrying a boat is supported by a scale which initially reads 48 kg. The boat (and therefore its centre of gravity) is moved 0.15 m further back on the trailer. The scale now reads 37 kg. Find the mass of the boat (Ignore the 6.0 m distance because it was not given...
  16. N

    Using Airy's Model of isostatic equilibrium, solve for....

    Homework Statement Using Airy's Model of isostatic equilibrium, solve for the average anti-root height due to the ocean and the average density of the upper mantle. given info: ocean depth avg = 4km ocean crust is 10 km thick avg continental crust if 40 km thick avg all crust is the same...
  17. B

    What is this figure meaning? (Ecology -- Punctuated Equilibrium)

    Homework Statement As I reading this article I conflict with a problem, I never find the meaning of Figure 3(b). the paragraph below the figure illustrated it but I couldn't find what it want to say. every help will be a appreciated. Homework EquationsThe Attempt at a Solution
  18. F

    Confused...calculating energy in a spring before launch of a ball

    Homework Statement So a little background before stating the problem: During a lecture a couple weeks prior to lab, the instructor did an example where we were told to find the max height of a ball launched upwards by compressing a spring. In order to calculate that, he showed that E1 is the...
  19. carb

    Ball equilibrium between 2 slopes

    Hello, Could somebody help me finding the relation between the horizontal force, the weight acting vertically, and the slopes Angle (same for both) that correspond to static equilibrium of the blue ball ? In a first step, I'd like to study this problem without considering friction at all. And...
  20. C

    At what point is the system in equilibrium?

    Homework Statement This is more of a math question but: There are two particles fixed in place: a particle of charge +8q at the origin and a particle of charge -2q at x=L. At what point (other than infinitely far away) can a proton be placed so that it is in equilibrium Homework EquationsThe...
  21. ScepticAmatuer

    H2O, HDO, D2O equilibrium concentrations

    I have seen something to this effect stated dozens of times on the internet : "..because the deuterons and the protons are exchanging so quickly, you will end up with a statistical distribution: 25% H2O, 25% D2O, and 50% HDO." They are referring to a sample of water which is 50 atom %...
  22. I

    Solving Equilibrium State Problems: Examples & Explanations

    Problems stated in attached pictures.So could someone explain me what am I doing wrong here this is solution for the example a) . I tried it twice and I am getting wrong results. Thanks in advance.
  23. G

    Continuous process and equilibrium constant.

    Assuming that we have a chemical plant which produces methanol through the following equations: CH4 + H2O <--> CO + 3H2 CO + 2H2 <--> CH3OH CO2 + 3H2 <--> CH3OH + H2O I know that with specific pressure, temperature and flow rates, I can produce reactions with specific equilibrium constants. Are...
  24. Amal Thejus

    Why there is NO current in a PN junction under equilibrium

    Homework Statement Its said that there is no Net current in a PN junction under equilibrium as the drift and diffusion currents cancel each other. We are talking about a Step junction at equilibrium. Homework Equations Its just a qualitative analysis. 3. The Attempt at a Solution [/B] The...
  25. J

    Equation for the dynamic equilibrium

    1. Homework Statement Homework EquationsThe Attempt at a Solution This is what I did: Since they said at equilibrium, the total no. of moles is (2+x), so P and Q should have 1 mol each at equilibrium. So P and Q are in 1:1 ratio, but how do they know x is 1 ? Ans is B
  26. R

    Amplitude and Vibrations in Springs

    Homework Statement The amplitude of vibration of a mass on a horizontal spring experiencing SHM is = 0.13m. The mass is 85g and the force constant is 55N/m. a) What is the maximum elastic potential energy of the system. b) Find the speed of the mass when it's position is x = 7.4cm from the...
  27. D

    Finding unknown mass from a meterstick, balanced equilibrium

    Question: A uniform meter stick off mass Ms = 100g is supported by a pivot at its 35 cm mark. When an unknown mass is suspended from the 10 cm mark, the system is in equilibrium. What is the value of the unknown mass? Given: Pivot point at 35 cm, and mass of meterstick = 100g. Attempt: Do...
  28. W

    How Do You Calculate the Reactions at Supports in a 3D Equilibrium Problem?

    Homework Statement The 1.1m bar is supported by a ball and socket support at A and 2 smooth walls. The tension in the vertical cable CD is 1kN. Draw the Free Body Diagram of the Bar. Determine the Reactions at A and B. Homework Equations Equillibrium equations. Perhaps the vector...
  29. vetgirl1990

    Equilibrium temperature of three different substances

    I've been asked to find the final temperature of different in an insulated container. A combination of 0.25kg water at 20C, 0.4kg aluminum at 26C, and 0.1kg copper at 100C are combined, and allowed to come to thermal equilibrium. Finding the equilibrium temperature for two substances is...
  30. cyberdiver

    Equilibrium distance for solar sail

    This is not actually a homework assignment, but something I decided to try in my own time. I wanted to find the radius from a star at which a solar sail would be held at equilibrium (radiation pressure = gravity), given mass per unit area and stellar luminosity at a reference radius. So I...
  31. Titan97

    Why equilibrium favours weak acid or weak base

    Homework Statement Which side does the equilibrium favour? Homework Equations Equilibrium favours weak acid or weak base (I don't know why :frown:) The Attempt at a Solution Using the given pka values, since the reactant is the weaker acid, reactants are favoured. (Backward reaction is...
  32. J

    What will happen when a large amount of water at 0C....

    Homework Statement What will happen when a large amount of water at 0 C is mixed with ice at - 20 C? Assume ideal conditions. Homework Equations N/A The Attempt at a Solution I think the ice will rise in temp (without melting) but no new ice will be formed. Is this right?
  33. A

    Finding Reaction Forces on Pin Supports in a Static Equilibrium System

    Homework Statement I am given the forces on picture and I´m asked to find the reactions on both supports. I see they are pin supports so they ask me for 4 unknowns. Homework Equations Sum of forces in both directions equal to zero Sum of torques wrt a convenient point equal to zero THREE...
  34. AObeid

    Finding the sag caused by a weight in an equilibrium?

    Homework Statement Hello there, this is my first thread here ! I've been trying to solve an exercise from my statics course and just couldn't get anywhere. Basically it's a system of two springs connected by a rope, and each spring is attached to a cylinder (Both Cylinders have same mass). The...
  35. red1312

    Statics problem equilibrium of a particle 2D

    1. Homework Statement In the picture Homework Equations In the picture The Attempt at a Solution In the picture My question is .. Why in Fx has sin and Fy has cos ?
  36. 24forChromium

    Understanding Equilibrium Shift in the Haber Process (N2 + 3H2 ⇔ 2NH3)

    in the Haber process (N2 + 3H2 ⇔ 2NH3), if there are 2mol of N2, 3mol of H2 and 1mol of NH3, how do I know that the system is not in equilibrium and which direction will it shift?
  37. O

    Finding Velocity for an object in Translational Equilibrium

    Hi, Suppose a force of 5N is being applied to a 5kg block and the force of friction from the surface on which the block is in motion is 5N as well. The Net Force of the block is 0N, thus the block is not accelerating and is moving at a constant velocity. The question I have is, how to...
  38. J

    Equilibrium temperature with 2 states of matter

    35g of h2o(g) at 380K flows into 300g of h2o(l) at 300K. Cp(l)=4.18kJ/K*kg and ΔH(condensation)= -2257kJ/kg. I need to calculate the final temperature when the system reaches equilibrium. Is the heat capacity for the h2o gas different than h2o liquid? Can you calculate heat capacity using...
  39. A

    3D Statics Equilibrium - Dot Everything with Vector P?

    Homework Statement Bead B has negligible weight and slides without friction on rigid fixed bar AC. An elastic cord BD has spring constant k = 3 N∕mm and 20 mm unstretched length, and bead B has a force of magnitude P in direction BC. If bead B is positioned halfway between points A and C...
  40. G

    Why is 2/3 required in the calculation for the equilibrium of rigid bodies?

    Homework Statement why 2/3 is required in this calculation as circled ? I have no idea. I know that 4.5/2 is the distance of the centroid of the bar from point A . Homework EquationsThe Attempt at a Solution
  41. thegreengineer

    Vector mechanics for engineers -- Confusion described below

    Homework Statement Look I have an exercise about trusses in vector mechanics. It's the following: https://scontent-lax3-1.xx.fbcdn.net/hphotos-xfp1/v/t1.0-9/12003339_1645511085733429_8210043018491702007_n.jpg?oh=4955534403fb6f3f5f9a40c9c0b8ecbc&oe=569761ED I have to determine the forces in...
  42. P

    Finding Static Equilibrium: Solving for Unknown Angles

    Can anyone help me with this question! I know to solve this problem, you have to set ΣF and ΣM =0, but what do you do with angle? (It's P.31 in the bottom)
  43. A

    Find length of spring in its equilibrium position

    As shown in Figure Q1a, a frictionless, massless, piston, supported by two springs, A and B, is held by a pin in a vacuum inside a rigid-walled container. The properties of the springs are: spring constants kA = 3,859 and kB = 3,090 (in N/m), natural lengths LA0 = 0.03 and LB0 = 0.1 (in m). When...
  44. A

    Find length of spring A in equilibrium position

    As shown in Figure Q1a, a frictionless, massless, piston, supported by two springs, A and B, is held by a pin in a vacuum inside a rigid-walled container. The properties of the springs are: spring constants kA = 3,859 and kB = 3,090 (in N/m), natural lengths LA0 = 0.03 and LB0 = 0.1 (in m). When...
  45. A

    Engineering statics equilibrium problem

    Homework Statement Here is the prompt/picture The hint given is a FBD of the bead is recommended to being this problem. Find the coordinates of B so that both the magnitude and orientation of the elastic cord force can be properly represented. Also, two mutually orthogonal normal force...
  46. H

    How to find equilibrium temperature of a system

    Homework Statement A gas is in an insulated box, which is divided into two portions by an insulated partition. There are n1 moles of the gas at temperature T1 in volume V1, and likewise n2 moles of the (same) gas at temperature T2 in volume V2. The partition is composed of two layers; one...
  47. W

    Setting up systems of forces and free body diagrams

    Homework Statement Suppose I've got a static mass on a downward plane. (For instance a car on a drive way). How would you set up this free body diagram? Homework Equations F = f1+f2...etc The Attempt at a Solution My preference is A, but I've seen it displayed in examples in my book as B...
  48. A

    What is the force required to keep two blocks in equilibrium

    Homework Statement Blocks A and B each weight 170 lb and rest on frictionless surfaces. They are connected to one another by cable AB. Determine the force P required to hold the blocks in the equilibrium position shown and the reactions between the blocks and surfaces. Hint given: This...
  49. It's me

    What is the equilibrium angle - dipoles?

    Homework Statement Two coplanar dipoles are oriented as shown below. If θ is fixed, what is the equilibrium angle θ' ? Homework Equations The torque exerted by dipole P on dipole P' is given by $$\vec{N'}=\vec{P'}\times\vec{E}$$ where vector E is the electric field. The Attempt at a...
  50. Z

    How Do You Calculate Tension Correctly in a Pivoting Rod System?

    Homework Statement A 10 000-N shark is supported by a rope attached to a 4.00-m rod that can pivot at the base. Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the system in the position shown in Figure P12.49. Homework EquationsThe Attempt at...
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