Equilibrium Definition and 1000 Threads

Hi guys I want to model the adsorption of asphaltenes on nanoparticles from a thermodynamic equilibrium solution ( this is my thesis ). from this way, I want to show how much asphaltene is adsorbed on nanoparticles at different temperatures and pressures (without using of isotherms of...

What does it mean where it says it provides couples on x-axis and z axis? Anyways what am I doing wrong? my procedure is finding tension in cables by summing moments about point A. then with the tensions, finding reactions at A. However when i sum the moments about A I get 3 equations 2...

Homework Statement The equation x^2+3x-0.45=0 has two solutions x1=0.14 and x2=-3.14, these are supposed to be the locations at which the electric charge is in equilibrium with two other charges, should I use the first derivative to see at which location the charge will be stable? Homework...

I did torque and equilibrium lab report, where I had to hang some weights on a meter stick, which was placed on a fulcrum. There were 3 parts for the lab, with different settings. I am stuck at the last part, where I hang the meter stick with a string over a pulley, and there were 4 weights...

A uniform beam of length L and mass m is inclined at an angle θ to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is μs. Assume that the angle θ is such that...

Homework Statement Homework Equations Torque = r x F The Attempt at a Solution I expect the door to fall.

Homework Statement A sturdy wooden plank, 4 meters in length and having a mass of 42 kg, is rests on 2 supports placed 1.2 meters from each end. Suppose a man of 72 kg stands 1 meter from the right end of the board. What are the upward forces on each board? |---L----R-M--| Where L is the left...

Homework Statement A 40.0 kg uniform platform is suspended by two cables, 2.00 m apart, where the centre of the platform lies midway between the cables. A 5.00 kg paint bucket is placed on the platform, 24.0cm to the right of the right cable, as shown in Figure A2.15. What is the tension in...

Homework Statement Homework Equations The Attempt at a Solution I'm trying to solve this problem but I can't get the Te by itself. Does anyone have any answers as to a direction I should take?

I have a question regarding the process of getting towards equilibrium in our universe. If we imagine a causal patch with our planet at the centre, every planet will redshift away from us an after a while the planet itself will disintegrate, let's call this process the decay of Earth. Eventually...

Hello all. I am wondering why we raise the concentration to the exponent of the stochiometric coefficient. I understand why we take the products of reactants or products. For instance, let me give an example to show where I am getting mixed up. Let's say 2A +3B = 8C as a reversible...

Homework Statement Homework Equations The Attempt at a Solution [/B] Effective gravity = g-a So Frictional force = tension Tension = m(g-a) u 2m(g-a) =m(g-a)

Homework Statement Homework Equations How do you solve for the force in this problem and also the coefficient of static friction and minimum force to tip the cabinet over if the point of application can be chosen anywhere on the cabinet? The Attempt at a Solution I tried setting up tables...

Equilibrium Climate Sensitivity - what is the relevance of the word 'equilibrium' - why not 'climate sensitivity?' Hope you can help.

If two objects are at the same temperature, but thermally isolated from one another, are they still considered to be in thermal equilibrium with one another?

Homework Statement A 5000 kg car rests on a 32° slanted ramp attached to a trailer. Only a cable running from the trailer to the car prevents the car from rolling off the ramp (the car's transmission is in neutral and its brakes are off). Find the tension in the cable and the force that the...

Homework Statement In the calculation in high temperatures of ##Z_{rot} = (\sum_{j=0}^\infty (2j+1)\exp{j(j+1)\theta_{rot}/T})^N##; they use Euler summation formula: $$\sum_{n=0}^\infty f(n) = \int_0^\infty f(x)dx+\frac{1}{2}f(0)-\frac{1}{12}f'(0)+\frac{1}{720}f^{(3)}(0)+\ldots$$ for ##f(x) =...

Homework Statement Two linear springs with stiffness Kh, Kv are attached to a single mass m at right angle to each other, i.e; one of the spring(Kh) is in the horizontal direction(x-axis) and the other(Kv) is in the vertical direction(y-axis). A constant force F is being applied to the mass...

Cheers everyone. Can the amount of water molecules added to a solution impact the formation of a salt with its ions mainly bonded through hydrogen bonds with electrostatic like behaviour? Let me give Some background to the question first: I am studying the precipitation of Phosphorous(P) as...

Homework Statement Homework EquationsThe Attempt at a Solution I didn't understand the last part. At eqbm. ##\Delta S = 0##. This means that the RHS of the eqnn. 14.25 is 0. This doesn't mean that the following eqns. must hold true. ##(\frac 1 T_1 - \frac 1 T_2) =0,.............(1) \\...

Sorry, I have never found what does it mean Nuclear statistical equilibrium. It is used in any text but exact explanation nowhere. Please explain a physical meaning of it. Thank you.

Homework Statement Given: Thrust: 103000 N Lift = ? Weight = 86500 N Resistance = ? Homework Equations I'm just to figure out the value of resistance and lift. The Attempt at a Solution I can't seem to figure out a way to find out resistance, but with lift I believe it has something to do...

Homework Statement A bar of uniform density, length L, and mass m is suspended by two ropes of tensions T1 and T2 at either extremity of the bar. The bar is tilted such that it makes an angle θ with the ropes. A mass M is resting at a distance l from T1. https://i.imgur.com/vLlAJbe.png If...

Homework Statement [/B] Homework Equations Force exerted by liquids F=h.d.g.A The Attempt at a Solution

I have a question about the solution (a) in this example, how does it know PH2S is the same as ammonia? is there something I've miss?

A pendulum of mass m and length l is suspended from the ceiling of a trolley which has a constant acceleration a. Find the maximum deflection θ of the pendulum from the vertical. When I used work energy theorem, I got θ = 2 arctan(a/g). But when I took the equilibrium position and equated the...

Hi, i'll apologize for my english in advance, so here's the question. I was wondering about the equilibrium condition for a chemical reaction. We know that a closed system is in equilibrium if the Gibbs free energy's function has a minimun in that point. So, taking Temperature and Pressure as...

bromine monochloride dissociated on heating the following equation 2BrCl <=> Br2 + Cl2 .9 moles of BrCl were heated in a 5 liter vessel until equilibrium was established . the amount of free chlorine in the mixture was found to be .4 moles calculate the equilibrium constant for the reaction...

i am stuck on question 9 can anyone help me out. thanks

Homework Statement A 160-kg utility pole extends 12m above the ground. A horizontal force of 250 N acts at its top and the pole is held in the vertical position by a cable, as shown in the figure (I have attached the photo). 1) draw a free-body diagram for the pole 2) Determine the tension...

Homework Statement Two ideal van der Waals fluids are contained in a cylinder, separated by an internal moveable piston. There is one mole of each fluid, and the two fluids have the same values of the van der Waals constants b and c; the respective values of the van der Waals constant ''a'' are...

I have a little question. I want to know if there is a process in which I can find equilibrium solutions to some system of difference equations. For example, if I have something crazy like $$\begin{cases} x[n+1]=(x[n])^2y[n]+z[n]e^{-ax[n]} \\ y[n+1]= z[n]x[n]+x[n+1]y[n+1]\\ z[n+1]=...

Einstein predicted constraints on the coefficients of stimulated emission and absorption of radiation by atoms. He did that by assuming that the gas of atoms had to reach thermal equilibrium. For the gas to reach thermal equilibrium the coefficients had to be related in a certain way, otherwise...

It is said that a negative potential energy gives stable equilibrium but a positive potential energy gives an unstable equilibrium. why is it so?

I read in some scripts that equilibrium constant for an ideal gas is not a function of pressure: But that is not generally true! Since: $$\left (\frac{\partial \Delta_{R} G}{\partial p} \right )_{T,\vec{n}}=\Delta_{R} V$$ and $$\Delta_{R} G^{0}=-RT\cdot \ln K$$ it should be: $$\left...

Homework Statement 2 bodies with contant heat capacity C and 2C, are initially at temp T and 2T. if a heat engine executing a reversible carnot cycle operates between the two bodies until their temperatures are equal, what is the final temp of the bodies and how much work is preformed by the...

Homework Statement Homework Equations sum of forces = 0N sum of torque = 0Nm The Attempt at a Solution Net force has to be already zero (T = mg). But, the torque isn't zero, otherwise this question would have another answer choice. But the gravitational torque should cancel with the tension...

Homework Statement Consider a system formed by two phases of a substance that consists of a single class of molecules. Determine the specific heat ##c## of a vapor pressure and temperature ##p## ##T## on the curve of liquid-vapor equilibrium. Consider the steam as an ideal gas. Data: ##c_p##...

Homework Statement A liquid is in equilibrium with its vapour at it’s boiling point. On the average, the molecules in the two phases have equal;; provided options are: a. inter-molecule forces b.potential energy c .Kinetic energy d.total energy . Homework EquationsThe Attempt at a Solution ...

Homework Statement The board shown below is being held in equilibrium in the vertical plane by three smooth rods at A, B, and C Determine the magnitudes of forces at A, B, and C in terms of the weight of the body, W. Homework Equations Moment = f*r Here's a diagram The Attempt at a...

Cosmological fluctuations from equilibrium are best described in the Boltzmann brain paradox. My question may very well be better suited for statistical mechanics but it has relations with cosmology so I'll post it here. Anyway, it is often stated that BBs will perceive chaotic observations...

With NASA defining this equilibrium density at 9.9 x 10<30 gm/cm3, how can an increasingly expanding universe maintain a steady density as it expands?

1000 $\textrm{ Given $y'=5\sqrt{5},y>0$ answer the following questions.}\\$ $\textrm{a. Identify the equilibrium values.}\\ $ $\textrm{Which are stable and which are unstable?}\\$ $\textrm{b. Construct a phase line. Identify the signs of $y′$ and $y′′$.}\\$ $\textrm{c. Sketch several solution...

Is it possible to derive the condition for hydrostatic equilibrium or the Navier-Stokes equation for a self-gravitating fluid - e.g. for water on a planet with non-homogeneous density - based on a variational principle? (the planet itself is assumed to be a fixed hard core not subject to the...

The figure below shows a system in equillibrium. The pulley and the springs (both with constants "k") are ideal. The period of oscillation of the mass A is given by: Relevant equations: F = -kx (SHM) I tried to do a "force diagram" and set up some geometric relations but it´s not working.

Homework Statement [/B] Superhero and Trusty Sidekick hang motionless from a rope. Superhero’s mass is 90.0 kg, while Trusty Sidekick’s is 55.0 kg, and the mass of the rope is negligible. (a) Draw a free-body diagram of the situation. (b) Find the tension in the rope above Superhero. (c)...

Degree of ionization is the number of particles which dissociate by the total number of particles. if that's the case then higher number of particles should mean higher number of particles which get dissociated. this should also mean higher the concentration the degree of ionization will also...

I was working on a pulley system as shown here: The mass on the right and left side is equivalent, and I am solving for when the system is in static equilibrium. Theta is the angle between the rope on either side of one of the pulleys. H and y are both measured from the original position of...

Homework Statement The Attempt at a Solution Can somebody please assist me in finding the direction of the normal force exerted on B? (How is normal force at B also normal to the rod? ) There is no hint provided from which I can conclude the direction of normal force. Can somebody please...

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} +...