The total number of subsets of a Finite Set containing n elements is 2ⁿ
We will discuss later in permutation and combination chapter in brief.
Relation Let A and B be two sets. Then a relation from set A to B is a subset of A × B. Thus, R is a relation from A to B⇔R ⊆ A × B. If R is a relation from a non-void set A to non-void set B and my if (a, b)…
Reversible and Irreversible processes A process which can be reversible i.e., operated in opposite direction from any state during the process such that the system returns to its initial state and their may be no effect on the surroundings. Thus at the end of the process both the system and…
State, path and process State A state is condition of system and is specified by its properties. At a given state all the properties of a system have definite values Path Change of state of a system is the consequence of any operation in which properties will change. The series of states through which system…
Quasi-static process A process during which the system remains nearly close to an equilibrium state is called Quasistatic process. In other words departure of the state of a system from Thermodynamic Equilibrium state will be Infinitesimally small. Quasi-static process Consider a system as shown in figure the system initially is in equilibrium state as weights…
Function as a correspondence Let A and B be two non-empty sets. Then a function ‘f ‘ from set A to set B is a rule or method or correspondence which associates elements of set A to elements of set B such that: Fig. 2(a) (i) all elements of set A are associated to…
Ordered pairs An ordered pairs consists of two objects or elements in a given fixed order. For example, if A and B are any two sets, then by an ordered pair of elements we mean a pair (a, b) in that order, where a ∈ A, b ∈…