Properties of Ideal gases ∣ Charactaristic of gas equation ∣ Specific Heat
Ideal gases
Boyle and Charles investigated the behaviour of gases and formulated the laws.
Intersection of sets Let A and B be two sets. The intersection of A and B is the set of all those elements that belongs to both A and B. See in Fig(v) shaded region show A∩B We denote A intersection B by notation “A ∩ B” Thus A∩B = { x : x ∈…
Domain of relation Let R be a relation from a set A to a set B. Then the of all first components or coordinates of the ordered pairs belonging to R is called the domain of R. Thus, domain of R = { a : (a, b) ∈ R} Clearly, domain of R ⊆ A…
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…
Theorem 3 The total number of subsets of a finite set containing n elements is 2ⁿ. Proof Let A be a finite set containing n elements.Let 0 ≤ r ≤ n. Consider those subset,of A that have r elements each.We know that the number of ways in which r elements can be chosen…
Semi-Open or Semi-Closed interval If a and b are two real numbers such that a < b, then the sets (a, b] = { x : x ∈ R, a < x ≤ b} and [a, b)={ x : x ∈ R, a ≤ x < b are known as semi-open or semi-closed intervals ….
Disjoint sets Two sets A and B are said to be disjoint, if A∩B=Φ. If A∩B≠Φ, then A and B are said to be intersecting or overlapping sets As shown in Fig(vi) Fig(vi) Example If A={ 1, 2, 3, 4, 5, 6 }, B={ 7, 8, 9, 10, 11 } and C= { 6, 8, 10,…
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