System Equilibrium Example Problem (2024)

FAQs

What is an example of a system at equilibrium? ›

Systems in equilibrium are balanced. For example, if you are running on a treadmill you are in constant motion. However, you are not moving forward or backwards. As fast as you run forward the treadmill is moving you backwards.

hom*ogeneous Equilibrium

For example: O2 (g) + N2 (g) ⇌ 2NO (g) Reactions in which the total amount of reactant molecules is not equal to the number of molecules in the products. For example: Cl2 (g) + CO (g) ⇌ COCl2(g)

A well-known example is the addition of a concentrated solution of ammonia to a suspension of silver chloride, in which dissolution is favoured by the formation of an ammine complex. When sufficient ammonia is added to a suspension of silver chloride, the solid dissolves.

An example of equilibrium in everyday life is a book on a table at rest. Here the weight of the book and the reaction force exerted by the table on the book cancel each other thus keeping the book in static equilibrium.

A ship is said to be in stable equilibrium if, when inclined, she tends to return to the initial position. For this to occur the center of gravity must be below the metacenter; that is, the ship must have positive initial metacentric height.

To find the equilibrium price a mathematical formula can be used. The equilibrium price formula is based on demand and supply quantities; you will set quantity demanded (Qd) equal to quantity supplied (Qs) and solve for the price (P). This is an example of the equation: Qd = 100 - 5P = Qs = -125 + 20P.

How to calculate equilibrium quantity? It can be calculated by solving the demand and supply function (Qa – bP = x + yP). Solving the equation when the supply equals the demand gives an equilibrium price.

How to find equilibrium solutions. When having a differential equation we say the solution is an equilibrium solution if the derivative of it with respect to the independent value is equal to zero. This means the slope of the tangent line of the function is horizontal, balanced and so it has a zero value of inclination ...

In order for a system to be in equilibrium, it must satisfy all three equations of equilibrium, Sum Fx = 0, Sum Fy = 0 and Sum M = 0. Begin with the sum of the forces equations. The simplest way to solve these force systems would be to break the diagonal forces into their component pars.

What is an example of an equilibrium constant problem? ›

(Remember that equilibrium constants are unitless.) A more complex example of this type of problem is the conversion of n-butane, an additive used to increase the volatility of gasoline, into isobutane (2-methylpropane). K=[isobutane][n-butane]. Thus the equilibrium constant for the reaction as written is 2.6.

Rotational equilibrium – A body moves in a circular path with constant velocity. Static equilibrium – A wall – hanging, hanging on the wall. Dynamic equilibrium – A ball descends down in a fluid with its terminal velocity. Unstable equilibrium – A pencil standing on its tip.

A balanced seesaw and a book at rest on a table surface are typical examples of objects in static equilibrium. There are three types or states of equilibrium, namely, stable, unstable, and neutral.

A system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly. An obvious example is a ball resting on top of a hill.

1 The equilibrium point q is said to be stable if given ϵ > 0 there is a δ > 0 such that φ(t, p) − q < ϵ for all t > 0 and for all p such that p − q < δ. If δ can be chosen not only so that the solution q is stable but also so that φ(t, p) → q as t → ∞, then q is said to be asymptotically stable.

Two systems are in thermal equilibrium when their temperatures are the same. Two systems are in mechanical equilibrium when their pressures are the same. Two systems are in diffusive equilibrium when their chemical potentials are the same. All forces are balanced and there is no significant external driving force.

Explanation: Out of the given examples, the system at equilibrium is when five swimmers jump into the water at the same time as five others get out of the water. In a chemical system, equilibrium occurs when the forward reaction rate equals the reverse reaction rate.

Q can be used to determine which direction a reaction will shift to reach equilibrium. If K > Q, a reaction will proceed forward, converting reactants into products. If K < Q, the reaction will proceed in the reverse direction, converting products into reactants. If Q = K then the system is already at equilibrium.

Static Equilibrium Example

We see that a stick is lying on a smooth flat surface with two equal and opposite forces acting upon it. It is evident that the horizontal forces ∑F_x= F_netx= 0 and the vertical forces ∑F_y = F_nety = 0, and hence, the stick is either at rest or moving with constant velocity.