Home | | Physics 11th std | Relation between pressure and mean kinetic energy

Chapter: 11th Physics : Kinetic Theory of Gases

Relation between pressure and mean kinetic energy

Physics : Kinetic Theory of Gases - Relation between pressure and mean kinetic energy

Relation between pressure and mean kinetic energy

 

From earlier section, the internal energy of the gas is given by


The above equation can also be written as


From the equation (9.12), we can state that the pressure of the gas is equal to two thirds of internal energy per unit volume or internal energy density (u=U/V).

Writing pressure in terms of mean kinetic energy density using equation (9.6)


where ρ = nm = mass density (Note n is number density)

Multiply and divide R.H.S of equation (9.13) by 2, we get


From the equation (9.14), pressure is equal to 2/3 of mean kinetic energy per unit volume.

 

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
11th Physics : Kinetic Theory of Gases : Relation between pressure and mean kinetic energy |


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.