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.
The problem statement
A uniform rod of length 2m and mass 5kg is connected to a vertical wall by a smooth hinge at A and a wire CB as shown. If a 10 Kg mass is attached to D, find:
a) the tension in the wire
b) the magnitude of the reaction at the hinge A.
attached is my copy of the...
Hi, I am currently studying Cosmology on my own, and I am learning about the Affleck-Dine mechanism of baryogenesis. I understand that in this case the baryon asymmetry is generated by the decay of a supersymmetric flat direction carrying B, which is excited during inflation.
Regarding...
Need help with equilibrium equations -- ASAP Please
Homework Statement
I'm studying for a final that I'm taking tomorrow and am stuck on the following:
Calculate Kc for the reaction:
4NOBr (g) \Leftrightarrow 4NO (g) + 2Br2 (g)
given the following information:
2NO(g) + Br2 (g)...
Two people are carrying a uniform wooden board that is 4.00 m long and weighs 180N. If one person applies an upward force equal to 80 N at one end, at what point does the other person lift?
m (distance from point of application of 80 N force)
I am thinking because of the the fact that...
Homework Statement
Description:
A ride consists of a carriage with a mass 300kg and with maximum occupancy of 300kg. The carriage is attached to a mechanical arm of length L = 5m that is capable of rotation. The arm is able to provide the torque necessary to swing the riders back and forth...
The equation ΔG=-nFEcell, I understand.
I also understand that, at unity activities of all species, Q=1 so R*T*ln(Q)=R*T*ln(1)=0. And therefore Ecell=E°cell and ΔG=ΔG°.
However, surely we cannot then write that ΔG°=-nFE°cell=-R*T*ln(K), since ΔG° is measured at unity activity when Q=1, rather...
I already have this equations. But I'm confused on how to solve it, because of this 100.
ΣFx=0
T₂Cos30°-T₃Cos60°-100N=0
ΣFy=0
T₂Sin30°+T₃Sin60°-9810N=0
How will I solve this? Please I Really have a problem on simplifying it, I need to solve for the T₂ and T₃
Homework Statement
If a beam with square cross-section and very low density is placed in water, it will turn one pair of its long opposite faces horizontal. This orientation,however, becomes unstable as we increase its density. Find the critical density when
this transition occurs. The...
1. Homework Statement [/b
A straight and homogenous stick with mass m is pressed against a wall with the force F. The stick is horizontal perpendicular against the wall. Given that the friction between the wall and the stick is μ, determine the horizontal component of F in order for the stick...
Homework Statement
1) What is the Equilibrium temperature distributions if α > 0?
2) Assume α > 0, k=1, and L=1, solve the PDE with initial condition u(x,0) = x(1-x)
Homework Equations
du/dt = k(d^2u/dx^2) - (α*u)
The Attempt at a Solution
I got u(x) = [(α*u*x)/2k]*[x-L] for...
Homework Statement
With the 5 equations, the equilibrium contants can be calculated at the bottom. (See image)
My complication
I am aware that X = 200 thus that value remains at that. Also, From the fourth equation K_{out} = Cl_{out}. But, I cannot seem to work out the values. If not...
Can you help me explain this part from my book?
In equilibrium, the pn junction has no external connections, i.e., the terminals are open and no voltage is applied across the device.
If so, I wonder why there is drift current in the equation above. In equilibrium, the total current is zero...
I need help to understand this solution:
Why electric field is zero at x < - b?
I think it should be non-zero because the electric field from positive and negative ions don't completely cancel each other.
How can you know E rises as x approaches zero?
Homework Statement
A physicist pours 100g of water at 100'C into a 20g aluminium cup which already contains 50g of water at 20'C. The final equilibrium temperature of the water is 71.847.
C(water)=4186J/kgC
C(aluminium)=900J/kgC
1. the amount of heat lost by the hot water
2. the amount...
QUESTION: Say I have the following equilibrium reaction
CO+\frac{1}{2}O_2\leftrightharpoons CO_2
The stoichiometric mixture of CO and $O_2$ in a closed vessel, initially at 1 atm and 300K, is exploded. Calculate the composition of the products of combustion at 2500K and the gas pressure.
Take...
LJ-Potential
Homework Statement
Find distance of equilibrium for:
1.
Uvdw(r)=-A/r6+B/r12
A=10-77 Jm6
B=10-134 Jm12
Homework Equations
Uvdw(r)=-A/r6+B/r12
The Attempt at a Solution
It is suppose that r is the distance, but I have not any idea how to calculate this...
I do not understand how equation(3) occurs.(taken from the book Internal Combustion Engines by John B.Heywood)
$$ $$
Consider a reactive mixture of ideal gases. The reactant species M_a,M_b etc.and the product species M_l,M_m etc. are related by the general reaction whose stoichiometry is...
Homework Statement
The springs AB and BC have stiffness k and an unstretched length of l. Determine the
displacement d of the cord from the wall when a force F is applied to the cord. See Picture attached.
Given:
l = 3 m
k = 600 N/m
F = 200 N
Homework Equations
Fspring= ks
s=...
Hello,
Consider a cylindrical region (length dr, end area dA) at a distance r from the center of the sun
Density =ρ(r)
Volume = Length x area = dr.dA (How is the formula for volume of a cylinder works here?)
Mass= Density x Volume = ρ(r).dr.dA
Now, computing F(grav) =...
Homework Statement
I am working on a project where I have to design and size an aquifer. There are two which either store hot or cold water for 6 months which is then pumped up to be used in either the summer or winter.
The aquifer is going to be 80 meters under the ground. The rest is...
Problem:
I've been working on my assignment and the purpose of it is to determine the concentration of a contaminant present in a sample of water. I've discovered the contaminant is ammonium phosphate with the levels of each being 200% higher than normal water. I obtained these results using...
Homework Statement
Answers were told to us to be
F = 2.91 N
Ft1 = 13.32 N
Ft2 = 3.36 N
Homework Equations
Fx = Ft2 cos(θ) - F = 0
Fy = Ft2 sin(θ) + Ft1 - Fg = 0
Torque equation
-FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0
The Attempt at a Solution
I plugged in all of the information i had...
Virtual work principle states: δW = \sum^{N}_{i=1}\vec{F}_{i}\centerdot δ\vec{r}_{i}
And from this, we can see that if a system is to be in equilibrium we have
δW = (\sum^{N}_{i=1}\vec{F}_{1} \centerdot \frac{\partial \vec{r}_{1}}{\partial q_{1}})δq_{1} + \cdots = 0
Where did q come...
Three forces -- in equilibrium or not?
Hi. I am new to physics and need some help on this question asap. Did I get it right or is it wrong? Correct me if I am wrong. Thank you.
Homework Statement
A diving board of length L is supported at a point a distance x from the end, and a diver weighing w1 stands at the free end (Figure 1) . The diving board is of uniform cross section and weighs w2.
(Figure 1)
Find the force at the support point.
Find the force at the end...
1. What occurs during static equilibrium?
3. The net force and net torque on the object is zero. The acceleration of the object is zero too. Would velocity of the object also be zero? Or no because it has constant velocity?
I've drawn the following FBD (using D'alembert prinicple)
[The N in my drawing is the F_A stated in the question]
----------------
Assuming my FBD has nothing wrong, am I right to say that I am free to choose my torque equation about ANY POINT?
somehow my solutions vary depending on my point...
Homework Statement
A uniform, 263-N rod that is 2.20m long carries a 225-N weight at its right end and an unknown weight W toward the left end (see attached figure). When W is placed 55.6-cm from the left end of the rod, the system just balances horizontally when the fulcrum is located...
I have an air molecule moving because of a sound wave.
f of sound wave = 500 Hz
wavelength of sound wave = 0.68 m
How fast is the air molecule moving in its equilibrium position?
Is it in equilibrium at V max? Would this be where the position = 0?
Homework Statement
A 0.241-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points x1 = -0.349 m and x2 = 0.419 m. The period of oscillation is 0.511 s. Find the frequency, f, the equilibrium position, xeq, the amplitude, A.
Homework Equations
The...
Homework Statement
A 0.500 kg mass is suspended from a spring and set into
oscillatory motion. A motion detector is used to record the motion, and it is found that its velocity function is given by Vx(t) What are:
a. the period of the motion;
b. the amplitude;
c. the maximum acceleration...
Homework Statement
See attachment
Homework Equations
Let u be the angle between AC and AO and v the angle between BE and BD.
Ta is the tension at point A and Tb is the tension at point B.
The Attempt at a Solution
Tried starting with the OAB body and got:
-mg + Ta sin(u) + Tb...
Homework Statement
Charge A and charge B are 2.2m apart.Charge A is 1.0C, and charge B is 2.0c. Charge C, which is 2.0C, is located between them and is in electrostatic equilibrium. How far from charge A is charge C.
Homework Equations
E = KcQ1Q2/r^2-------Electric force Formula where E...
Here is a text from my Physics Book :
The net external torque on the object about any axis must be zero for it to be in rotational equilibrium.
I divide the torques into two categories, anticlockwise and clockwise. (This approach works fine for 2-D objects but will it work for 3-D objects...
Homework Statement
Homework Equations
Ʃτ = 0
τ = rFsinθ
The Attempt at a Solution
I'm not even really sure where to start with this. My first thought was that it's not moving, so presumably the forces sum to 0. I also thought of treating the point where the net is exerting...
Homework Statement
Here's a diagram of a rod that's free to pivot about the point indicated. Is it possible to make the right end of the rod push down, by pulling on the left end of the rod? If so, show on the diagram the direction that you would pull on the left end of the rod, and explain...
Homework Statement
Diagram 4 shows a 2 kg mirror hung on a wall using strings of the same length . The mirror is in equilibrium state.
a) On Diagram 4 , label the force that act on the mirror .
b) Calculate the tension of the string , T that act on the mirror .
c) Suggest a modification to...
Homework Statement
A horizontal beam of weight W is supported by a hinge and cable as shown. The force exerted
on the beam by the hinge has a vertical component that must be:
Answer is nonzero and up.
The pull P is just sufficient to keep the 14-N block and the weightless pulleys in...
Homework Statement
Two ideal gases are separated by a partition which does not allow molecules to pass from one volume to the other. Gas 1 has: N1, V1, T1, Cv1 for the number of molecules, volume it occupies, temperature in kelvin, and specific heat per molecule at constant volume...
When making the Morse Potential graphs of diatomic molecules going through a transition, the excited state sometimes has a different equilibrium bond length. A visual example is here: http://en.wikipedia.org/wiki/File:Franck-Condon-diagram.png
I was wondering how the average bond length of...
Homework Statement
what magnitude of force applied horizontally at the axle of the wheel is necessary to wheel over an obstacle of height h = 0.108 m? The wheel's radius is r = 0.698 m and its mass is m = 1.71 kg.
Homework Equations
I know that in order to have a static equilibrium we...
equilibrium -- A rod influenced by multiple rope tensions
Homework Statement
Smooth and identical rod has a weight of P. The rod seems to be in equilibrium with X and Y which has a weight of P. What can be the weight of X according to the values below?(ip means rope)
P , 6P or 9PHomework...
Hello, I was wondering if someone could explain part of the solution to this problem for me.
http://img706.imageshack.us/img706/5517/disksproblem.png
To the right is the Free Body Diagram of Disk E, and I can draw the forces on there well enough. But I really do not understand how they...
I'm studying vapor pressure and I'm having trouble to understand some concepts.
Vapor pressure depends only on the temperature of the liquid in question right? For example, if we have a container with water at 30° C, it doesn't matter the experiment, would it ALWAYS be a vapor phase with...
Homework Statement
A uniform solid cube, of edge 1m and weight 200N, rests on a rough horizontal plane. A light rod AB
of length 1.2m is smoothly hinged at A to a point of the plane and B is in contact with a smooth face
of the cube. The rod lies in a vertical plane perpendicular to...
Hi, I have simple question
N2+3H2 = 2NH3 + heat
How would the equilibrium position be affected if ammonia is removed from the vessel?, shouldn't it move to the left to produce more reactants and replace the ammonia? why does it move to the right?, because that's what my texbook says.
Homework Statement
\dot{x} = -pxy + qx, \dot{y} = rxy - sy
where p,q,r and s are positive constants (p does not equal r)
Question is : Determine all the equilibrium points for the system of differential equations given above, expressing your answers in terms of p,q,r and s
The...