Figure 1 shows a single gas particle of an ideal gas with mass travelling at a velocity
in the
-direction of a rectangular box. The particle travels backwards and forwards within the box, repeatedly colliding with the shaded faces.
Figure 1

The box has dimensions ,
, and
.
Write an expression, in terms of and
, for the time interval
between collisions.
Explain why the change in momentum of a particle during one collision with a shaded face is .
The box contains particles of the ideal gas which have a mean square speed of
in the
-direction.
Show that the average force exerted by the particles on one of the shaded faces is given by
, stating one assumption you make.
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