State quantities are dependent on path,and path quantities do not depend on path.for example:we want to travel from one city to another and we have different routes to travel by,so the distance traveled depends on that which one route is taken,so the distance traveled is a path quantity,well the city current where we are at times does not depend on the path we took,so it is state quantity
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Path quantity is a thermodynamic property that depends on the path taken to reach a particular state, whereas state quantity is a thermodynamic property that depends only on the current state of a system and is independent of the process by which the system arrived at that state. Examples of state quantities include temperature, pressure, and internal energy.
Path length is a scalar quantity because it is only described by its magnitude and does not have a direction associated with it. It is the total distance traveled along a path regardless of the direction of travel.
The direction of the object's velocity is always changing as it moves in a circular path.
Internal energy of a system is independent of the path taken, i.e., it only depends on the initial and final states of the system.
Internal energy is considered a state function because it only depends on the current state of the system, characterized by its temperature, pressure, and composition. It is independent of the path taken to reach that state, making it a useful quantity to describe the thermodynamic state of a system without needing to know the specific processes involved.
Distance is a scalar quantity, as it only has magnitude (how much ground an object has covered) without direction. It represents the length of the path taken by an object.