Question

FIX THIS:Identify the postulate /s which help to formulate a mathematical model of gases.

i) A finite volume of gas consists of very large number of molecules

ii) The size of the molecules in much smaller than the separation between molecules.

iii) Molecules do not exert force on each other except during a collision

Options

A
I only
B
II only
C
III only
D
I and II only
E
I, II and III

Explanation

Explanation:
i) Postulate I states that a finite volume of gas is composed of a very large number of molecules. This assumption allows us to treat gases as continuous media, even though they are composed of discrete particles.
ii) Postulate II states that the size of gas molecules is much smaller than the separation between them. This assumption is essential for treating gas molecules as point particles and simplifies the mathematical modeling of their behavior.
iii) Postulate III states that gas molecules do not exert force on each other except during collisions. This assumption is fundamental in the kinetic theory of gases and is crucial for developing the mathematical models that describe gas behavior.

Option A: Incorrect because postulate i) alone is not sufficient to formulate a mathematical model of gases. It describes the number of molecules in a finite volume of gas but doesn't consider their behavior.

Option B: Incorrect because postulate ii) alone is not sufficient to formulate a mathematical model of gases. It describes the relative sizes of molecules but doesn't account for their interactions.

Option C: Incorrect because postulate iii) alone is not sufficient to formulate a mathematical model of gases. It describes molecular interactions during collisions but doesn't consider other aspects of gas behavior.

Option D: Incorrect because postulates i) and ii) together are still not sufficient to formulate a mathematical model of gases. While they provide some information, they don't account for molecular interactions.

Explanation:
i) Postulate I states that a finite volume of gas is composed of a very large number of molecules. This assumption allows us to treat gases as continuous media, even though they are composed of discrete particles.
ii) Postulate II states that the size of gas molecules is much smaller than the separation between them. This assumption is essential for treating gas molecules as point particles and simplifies the mathematical modeling of their behavior.
iii) Postulate III states that gas molecules do not exert force on each other except during collisions. This assumption is fundamental in the kinetic theory of gases and is crucial for developing the mathematical models that describe gas behavior.