Calculating the number of particles colliding with an area per unit time

[JDStupi]

Homework Statement

Consider a small portion (area=A) of the inside wall of a container full of gas. Show that the number of molecules colliding with this surface in a time interval Δt is PAΔt/(2mv_{x avg}), where P is the pressure, m is the average molecular mass, and v_{x avg} is the average x velocity of those molecules that collide with the wall.

Homework Equations

PV=NkT, 1/2mv²=3/2kT, P=F/A=m(Δv/Δt)

The Attempt at a Solution

The problem here is that I am not entirely sure where to start and would appreciate some hints as to which way to proceed. I have attempted to see relationships between the Ideal Gas Law, temperature-KE equivalence, and the pressure but have yet to succeed. For those who are interested it is Problem 1.22a in Schroeder's Introduction to Thermal Physics.

Thank you very much for any hints and help

 

[ehild]

Try to read that:

http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/kinthe.htmlehils

 

[technician]

If you start with the fact that P=F/A and that F = rate of change of momentum of colliding particles you should get an expression for P .
This expression should contain the details of number of collisions per second ,the change in momentum of each particle and the area A.
Hope this gets you started.