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Pressure of an ideal gas." It is desired to get the pressure exerted by an ideal gas on a wall by accounting for the rate of momentum transfer from the molecules to the wall. (a) When a molecule traveling with a velocity v collides with a wall, its incoming velocity components are u and after a specular reflection at the wall, its components are Thus the net momentum transmitted to the wall by a molecule is 2mux. The molecules that have an x component of the velocity equal to u and that will collide with the wall during a small time interval ∆t, must be within the volume Su,∆t. How many molecules with be
Explain carefully how this expression is constructed. Verify that this relation is dimensionally correct
(b) Insert Eq. lC.l-1 for the Maxwell-Boltzmann equilibrium distribution into Eq. 1C.3-1 and perform the integration. Verify that this procedure leads to p = ~KT, the ideal gas law.
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