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

1. A hollow metal sphere is floating on water at 0⁰C. If the temperature of water rises to q⁰C, 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.



2. Estimate the temperature at which oxygen molecules can escape from Earth. (g = 10 m/s, R_e = 6.4 ´ 10⁶ m, R = 8.3 Joule/mole ´ ⁰K, Molecular wt. of O₂ = 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.

   

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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