Physic Labs
Collisions per second=N2Lvx\text{Collisions per second} = \frac{N}{2L}v_x
problems.proof.analysis

In a box of side LL, a molecule takes time 2L/vx2L/v_x to travel to the wall and back, so it hits that wall vx/(2L)v_x/(2L) times per second. With NN molecules (each direction equally likely), the number of collisions per second scales as Nvx/(2L)Nv_x/(2L).