IGNOU CHE 4 2018 - Derive the following equation for a gas:

Question

Derive the following equation for a gas:

Image ignouacademy-com--p-equation-76908

24 Jan 2018

Answer :

Word Count : 555

ASSUME:
Ideal gases are composed of:
- Numerous
- elastic molecules
- of Negligible Size compared to Bulk Container
- whose Thermal Motion is 'Random'

Consider a rectangular box length l, area of ends A, with a single molecule travelling left and then right the length of the box because of a collision with the end wall.

Image ignouacademy-com--span-derive-58777

The time between collisions with the left wall is the distance of travel between wall A and the other wall divided by the speed of the particle in the x-direction, u.

t = 2 L - (equation 1)
u

According to Newton,

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