Derive the following equation for a gas:
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.
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, force is the rate of change of the momentum
F = D (m u)
Dt
The momentum change upon collision is the momentum after
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