Ideal gas equation from Kinetic Theory
The assumption
implies the interpretation of heat energy as mechanical energy of
the molecules, albeit as statistical concept only; that is, temperature
is the manifestation of the average motion of a large number of
molecules; it is absurd to say that
for any i.
Solved Problems

A hollow metal sphere is floating on water at
0^{0}C. If the temperature of water rises to q^{0}C, the
sphere just submerges in water. Neglect the expansion of sphere. Find expression for determining
coefficient of cubical expansion of water.
Solution
Given d : density of sphere,
r : density of water, g : Coefficient of cubical expansion of liquid.

Estimate the temperature at which oxygen molecules can escape from Earth. (g = 10 m/s,
R_{e} = 6.4 ´ 10^{6} m, R = 8.3 Joule/mole ´
^{0}K, Molecular wt. of O_{2} = 32)
Solution :
Given : C = R.M.S. velocity ,
V_{e} = escape velocity from Earth then the molecules can escape.
If C = V_{e} then the molecules can escape.
**********

Index
12.1 Solids
12.2 Liquids
12.3 Gases
12.4 Gas Laws
12.5 Equation of State :Ideal Gas Equation
12.6 Kinetic Theory of Ideal Gases
Chapter 13
