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. S

    Equilibrium ICE Table Question

    Homework Statement Keq at a given temperature is 4 2 HF (g) <--> H2 (g) + F2 (g) A 1 Litre jar contains 0.045 moles of fluorine at equilibrium. What was the initial quantity of hydrogen fluoride in the reaction jar? 2. The attempt at a solution I set the initial concentration...
  2. S

    Factors Affecting Equilibrium Questions.

    Homework Statement 1) Equilibrium is achieved in a closed system where metallic Mg can react with HCl(aq) according to the following net chemical equation: Mg(s) + 2 H+(aq) <--> Mg+2(aq)+ H2(aq) A sodium hydroxide, NaOH(s), pellet is added to this system. What happens to the concentration...
  3. E

    Calculate total energy from potential at equilibrium point

    Homework Statement A block of mass 0.25 kg is connected to a spring with spring constant 35 N/m. The block is oscillating on a frictionless horizontal surface. Its speed as it passes through its equilibrium position is 1.04 m/s. What's the total energy of the system?2. The attempt at a...
  4. J

    Changing equilibrium point in damped simple harmonic motion

    Hi I have a damped simple harmonic motion model and I am altering the input force along with spring constant and damping constant. I can change the damping and spring constant to allow it to oscillate for few seconds before it stops at 0. What parameters do I need to change to alter the...
  5. U

    Find the equilibrium position of this piston

    Homework Statement A portion of helium gas in a vertical cylindrical container is in thermodynamic equilibrium with the surroundings. The gas is confined by a movable heavy piston. The piston is slowly elevated a distance H from its equilibrium position and then kept in the elevated position...
  6. Entanglement

    Concentration of solids in equilibrium

    It's known that the concentration of solids don't affect the rate of the reaction since it's concentration is constant, I know that when the number of moles of a solid is increased the volume also increases the same so the concentration remains constant so the rate doesn't change, but when the...
  7. Entanglement

    The volume of a solution at equilibrium

    Say that we have a salt solution does the volume of the solution change after when the salt is ionized and equilibrium is achieved ??
  8. A

    Tensions Equilibrium: Finding Unit Vectors

    Homework Statement see picHomework Equations The Attempt at a Solution Ive worked out T1 which is T1=F1(-4i-5j-10k/11.8743) = T1(-0.337i-0.421j-0.842k) and T2=F2(-4i-5j-10k/11.8743) =T2(0.337i-0.421j-0.842k) and the next step is to find the unit vector of force M = 20kn but how do i work out...
  9. M

    What is the Maximum Angle for a Crutch to Not Slip on the Ground?

    Hi All- Hope you can help me :| Homework Statement The person in the drawing is standing on crutches. Assume that the force exerted on each crutch by the ground is directed along the crutch, as the force vectors in the drawing indicate. If the coefficient of static friction between a crutch...
  10. M

    Thermal Equilibrium With Insulated Liquid And Gas Containers

    Homework Statement A beaker with a metal bottom is filled with 20g of water at 20∘C. It is brought into good thermal contact with a 4000 cm^3 container holding 0.40mol of a monatomic gas at 10atm pressure. Both containers are well insulated from their surroundings. What is the gas pressure...
  11. M

    Visualizing Forces in equilibrium

    Hi, I am studying for the MCATs, and currently going through physics. Sadly its my weakest area :( For the last three weeks I am stuck on conservative/non-conservative forces. The problem seems to be that I keep missing important associated forces on a system. For example: I got stuck...
  12. S

    Can Aeration Change the Equilibrium of Gases in Water?

    Hi, first time poster. Here's the scenario. In a given vessel containing a given amount of water at a given temp, gases from the air will reach equilibrium with those dissolved in the water contained in the vessel. Now suppose live plants are added to the water. During the day, photosynthesis...
  13. D

    Equilibrium constant expression

    Hello I'm solving previous exams and there is this exercise that appears in almost every exam : Homework Statement Suppose v moles of a gas H2O are enclosed in a constant volume V at a low temperature so the gas is in aN undissociated state. At highest temperatureS, H2O molecules are...
  14. S

    A Question about Torque Used for Static Equilibrium

    Homework Statement A diving board 3.00m long is held down at the left end and is supported underneath at a point 1.00m to the right of the hold. A diver weighing 500N stands at the other end. The diving board is of uniform cross section and weighs 280N. Find (a) the force at the support...
  15. Entanglement

    Understanding Equilibrium Calculations: Debunking Misconceptions

    My solution for this question is Kc=1/10 As the ratio of both forward and backward rate constants never changes unless the temperature changes. My teacher told me that the answer is 1/100 because the reaction's products and reactants are doubled, that seems senseless to me, I don't want to...
  16. nicolauslamsiu

    Equilibrium Position: How Water Affects System

    I want to ask how will the equilibrium position of the system change if water is added to the system?
  17. BrainMan

    Objects in equilibrium beam problem

    Problem: A uniform beam of length 4 m and mass 10 kg, connected to the side of a building by a pivot hinge, supports a 20-kg light fixture,as shown in figure 4.43. Determine the tension in the wire and the components of the reaction force at the pivot. Equations: sum of forces =0 Sum of...
  18. M

    Torque Equilibrium to find center of mass.

    Homework Statement 1. A non-uniform beam with a mass of 85kg has a length of 6.2m and is attached to a wall and supported at an angle of 28 degrees from the wall by a horizontal rope which is attached to the wall above the beam . The tension in the rope is found to be 310N. How far from the...
  19. BrainMan

    Objects in equilibrium hinged platform with cable problem

    Homework Statement A hinged platform flagpole weighing 500 Newtons is supported in the horizontal position by a cable as shown in figure 4.35. Find the tension in the cable and the horizontal and vertical forces at the hinge. Angle ø = 30°Homework Equations ∑F=0 ∑T=0 T= F* the lever armThe...
  20. M

    Markov equilibrium probabilities

    Homework Statement A Markov process with 4 states evolves in unit time steps with a transition probability matrix given by P = |0.5 0 0.3 0.2| |0.1 0.4 0.2 0.3| | 0 0.4 0.4 0.2| |0.1 0.1 0.1 0.7| Find the equilibrium probabilities for this system. What is the most likely state...
  21. C

    What is the Equilibrium Shape of a String Suspended Between Two Points?

    Homework Statement An inextensible string of length ##\ell##, whose mass per unit length is ##\rho## is hung between two points at the same height a distance ##d## apart (##d < \ell)##. Using the Euler-Lagrange equations and the first integrals, find the shape of the string when it is in...
  22. BrainMan

    Objects in equilibrium problem

    The problem is a uniform plank of length 6 m and mass 30 kg rests horizontally on a scaffold, with 1.5 m of the plank hanging over one end of the scaffold. How far can a 70 kg person walk on the overhanging part of the plank before it tips? Relevant equations Sum of all the forces = 0 Sum of...
  23. Y

    Decomposition of N2O5 Entropy Equilibrium

    Please see attached picture. I need verification of my answers. I unfortunately found these problems on an old book with no answer. I would really appreciate it. (a) Ok. For this one, I am really not sure. PLEASE help. I get a very complicated formula. (1+x)(x^4)/(1-x)^2=Kp. Now, this...
  24. D

    Calculating pH of Buffered Solutions: Do You Need a Ka/Kb Value?

    Hello, So as the end of the year comes to an end, AP Chemistry is getting increasingly more difficult to the point where I don't understand anymore. In our homework there is a questions asking to calculate the pH of a buffered solution. The only information it gives you is the chemical formula...
  25. V

    Show that the total weight w of an assembly in thermal equilibrium is

    Homework Statement Show that the total weight w of an assembly in thermal equilibrium is a maximum. Homework Equations S= k ln W? dS = dQ/ T ? S is maximize when thermal equilibrium is reached. The Attempt at a Solution First of all, i don't know what does "total weight w" means...
  26. A

    What is the required h for equilibrium in a body with two center of masses?

    Homework Statement problem attached Homework Equations The Attempt at a Solution i had no problem with part i and ii , iii on the other hand, i simply don't know what i should do , i figured out that the required h will be the one making the center of mass of the whole body on...
  27. M

    Ice Cubes and Drink Equilibrium

    Homework Statement In an attempt to quickly make iced tea, three 50 g ice cubes with a temperature of -10 C are added to 250 g of tea with a temperature of 50 C. After a short time, the system reaches equilibrium. Ice has a specific heat capacity of 0.48 kcal/kg/K and the latent heat of...
  28. D

    Equilibrium Points of a System given its Lagrangian

    Given a system's Lagrangian, How can we calculate the equilibrium points corresponding to the system? also how can we determine if that's a stable equilibrium?
  29. S

    MHB Is a Limit Point Always an Equilibrium in Differential Equations?

    Say x is a solution of the DE x’=f(x) and f is a continuous derivative on its domain, if lim┬(t→͚inifinity⁡〖x(t)〗=p then p is equilibriumhow can I show that this is true
  30. A

    Equilibrium and tension in elastic strings

    Homework Statement problem attached Homework Equations The Attempt at a Solution well, there is pretty much nothing i can write here, i couldn't solve it because this is the first time i face a problem like that , i have some problems understanding it though 1-if we considered the...
  31. E

    Doubt in equilibrium of rigid body

    Hello there! I am currently studying the equilibrium of rigid body and encountering a doubt. Now, in their explanation of reaction forces by a roller or a rocker or a smooth surface, they generalize it as in the preceding examples prevent the translation of a beam for example in ONE direction...
  32. M

    Equilibrium of a Rigid Body: Finding Unknown Mass on a Lever

    Homework Statement Find the unknown mass on a lever (see-saw). I have three masses. To the right of the fulcrum, the mass is 166 g and it is 25.15 cm from the fulcrum. There are two masses to the left. One is 166 g and is 16.95 cm from the fulcrum. The unknown mass is 3.33 cm from the fulcrum...
  33. S

    Why didn't we need to calculate the x-component in our pulley system lab?

    We had a lab 2 weeks ago that dealt with predicting the "known unknown" masses (we know it's 250g and we have to experiment to try and get to 250g as close as possible) within a pulley system. All three trials we had for part 1, where the known unknown was placed in the middle, we only...
  34. M

    What are the pin reactions at A and D?

    Homework Statement The two couples act at the midpoints of bars AB and BD. Determine the magnitudes of the pin reactions at A and D. Neglect the Weights of the members. [See Attachments for Figure] Homework Equations Sum Moment Along A & D = 0 Sum of Forces along X-axis Sum forces along...
  35. Entanglement

    Equilibrium Constant: H2+O2->H2O

    H2+1/2 O2 ---------> H20 If the equation is multiplied by 2 Will the equilibrium constant change or remain constant ?
  36. L

    Hydrostatic Equilibrium in a Star

    Homework Statement Hello. In my homework I was given to find a mistake in a derivation of hydrostatic equilibrium of a star. In contrast to "regular" derivation, where a cylindrical segment is chosen, in HW a segment of sphere is used: Homework Equations Derivation is given as following: a...
  37. R

    Using Lagrange to solve rotating parabolic motion and equilibrium

    Homework Statement Consider a bead of mass m sliding without friction on a wire that is bent in the shape of a parabola and is being spun with constant angular velocity w about its vertical axis. Use cylindrical polar coordinates and let the equation of the parabola be z = kp2. Write down the...
  38. Feodalherren

    Thermal Equilibrium of a system

    Homework Statement A combination of .25kg of H2O at 20C, .4kg of Al at 26C and .1kg of Cu at 100C is mixed in an insulated container and allowed to come to thermal equilibrium. Ignore any energy transfer to or from the container and determine the final T of the mixture. Homework Equations...
  39. W

    What is the Mass of the Block Placed on a Stiff Board in Static Equilibrium?

    Homework Statement Two supports, made of the same material and initially of equal length, are 2.0m apart. A stiff board with a length of 4.0m and a mass of 10 kg is placed on the supports, with one support at the left end and the other at the midpoint. A block is placed on the board a...
  40. O

    Conductors in Electrostatic Equilibrium

    A long straight metal rod has a radius of 5 cm and a charge per unit length of 30 nC/m. Find the electric field x cm away where distance is perpendicular to the rod.The solution to this uses ## \int E\cdot dA = \dfrac{q_{encl}}{\epsilon_0}##. My question is, why can you use this? I thought...
  41. B

    What is the Correct Minimum Force to Move a Ladder Against a Wall?

    Homework Statement A uniform ladder is 10 m long and weighs 180 N. In the figure below, the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force is applied to the ladder at a distance 1.0 m from its base (measured along the ladder). (a)...
  42. L

    Calculating equilibrium constant

    Homework Statement Estimate the value of the equilibrium constant at 670K for the following reaction: 2NO2(g)⇌N2O4(g)Homework Equations ΔG°rxn = -RT*lnKThe Attempt at a Solution This should be an easy problem. But for some reason, MasteringChem won't accept it, so I'm wondering if I did...
  43. S

    Field lines near the equilibrium point

    Homework Statement Charges 4q and -q are located at the points (-2a,0,0) and (-a,0,0), respectively. Write down the potential θ(x,y) for points in the xy plane, and then use a Taylor expansion to find an approximate expression for θ near the origin, which you can quickly show is the...
  44. A

    USAPhO 2014 F=ma exam #19, (tension, static equilibrium)

    Unfortunately there's no link to the test. This is from the test administered a month ago. Homework Statement A choppah is flying horizontally at constant speed. A perfectly flexible uniform cable is suspended beneath the choppah; air friction on the cable is NOT negligible. Which of...
  45. B

    Determining final concentrations of a Reaction given an equilibrium K

    Homework Statement Rxn: 2SO2 (g) + O2 (g) \Leftrightarrow 2SO3 (g) If the initial concentration of SO3 is .500 M (moles/liter) @1500K, what are the final concentrations of [SO2], [O2] and [SO3]. Kc = .15 Stop when you get to the cubic equation Homework Equations RICE table...
  46. M

    Chemical Equilibrium of Reaction's constant?

    I'm currently studying for a test and I'm having problem with this concept: If I have 3 different Equilibrium constants for different reactions like Kc=103, Kc=1 and KC=10-4, which one's forward reaction is most favorable, and which one's reverse reaction is most favorable? Maybe it's the...
  47. P

    How Do You Calculate Equilibrium for a Rod Subjected to Multiple Forces?

    What formula (if there is one) would you use for a rod that is in equilibrium where there are n number of forces acting on the rod in either of the two perpedicular directions to the length of the rod, where each force is different, and where each force is acting at a different point along the...
  48. D

    Energy conservation - maximun height and equilibrium height

    Homework Statement A ball of mass M = 0.320kg is connected by a light but rigid rod of length L = 0.770m to a pivot and held in place with the rod being vertical. A wind exerts a constant force F to the right on the ball. The ball is released from rest, and the wind makes it swing up to a...
  49. M

    Thermal equilibrium for ice being added to liquid water

    Homework Statement 0.05625 m^3 of H2O(s) is added to a thermally isolated system of 20 L of H2O (l). If the ice was initially at 0 C and the liquid water was initially at 95 C, what is the final state and temperature? The Attempt at a Solution I missed class for this so I'm going by...
  50. greyshrop

    How to Solve Equilibrium Problems in Homework?

    I can't finish the last problems on my homework. I asked my teacher and he wouldn't help me, can someone please help me? I'm so confused!
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