Gravitational potential energy is an example of a force that is path independent.
Work can be a path dependent
and a path independent variable. It depends on what type of force is being applied to do the work. Friction is a non-conservative force – work done against friction is path dependent.
Why is work done path dependent?
Path dependence implies that
the amount of work or heat needed to make the change depends on how the process was performed
, not just what state the material started in and ended in.
Does amount of work depend on Path?
E does not depend on the path used to go from the initial to the final state, but the amount of
work does depend
on the path used, the amount of heat given off or absorbed must depend on the path.
Is volume path dependent or independent?
As a result, volume is a state function because it
is not dependent on
the object’s path or history.
Is work path dependent thermodynamics?
Two important examples of a path function are heat and work. These two functions are dependent on
how the thermodynamic system changes from the initial state to final state
. These two functions are introduced by the equation ΔU which represents the change in the internal energy of a system.
Is Q w path dependent?
Hint: the symbols q, w andΔU(q+w) in thermodynamics are symbols to heat , work and internal energy respectively. q
and w both are path dependent in nature
, that is their value is not just defined by the initial and final position but by the path followed as well and it can vary on how the change is carried.
Is kinetic energy a path function?
Kinetic energy: To find the change in kinetic energy, we directly subtract the final and initial values. It’s the energy possessed by the particle due to its motion. Hence is a state function,
not a path function
.
Is reversible work path dependent?
A reversible process is a ideal process. Work
done in path dependent
. This can also be verified by the PV diagram.
How Q is a path dependent function?
Q is path dependent function.
It varies on different condition of pressure and volume
. Here note that whether a reaction is carried out under constant volume or constant pressure, ΔU will ultimately be the same (that is why it is a state function).
Is work done always path independent?
The work a
conservative force does on an object is path-independent
; the actual path taken by the object makes no difference.
Why work done in a closed path is zero?
The work done by the celestial body moon revolving around the earth in a closed circular orbit under the influence of the earth’s gravity is zero. This is because
the force of gravity is a conservative
and it does not depend upon the path along which work is done.
Is work done path function?
Heat and work are forms of energy that are in motion. They exist only when there is a change in the state of system and surroundings. In other words, they are non-existent before and after the change of state. Therefore, the work done is
a path function
.
Why is work done by gravity path independent?
Gravitational force is type of conservative force and all type of conservative forces depends on the displacement and not on the path traveled by it . It is because
conservative forces have particular direction and not like friction force
whose directions is always opposite to direction of motion.
Why potential energy is path independent?
the Green Path all have the same change in potential energy. The path does not matter.
Path independence is a quality of conservative forces
. The work done along this path can be simplified to a straight line.
What function is path independent?
A
vector field
is path-independent if and only if the circulation around every closed curve in its domain is 0. 0 . If a vector field F is path-independent, then there exists a function f such that ∇f=F. That is, F is a conservative or gradient vector field.
How many independent intensive properties are required to specify a state?
The state of a simple compressible system is completely specified by
two independent
, intensive properties.
