We defined an overall collision frequency between particles, \(\Omega_{c}\), in equation (3.8) and the mean free path, \(\lambda_{f}\) in equation (3.12). If we assume that all the particles are the same size:

a. Assuming the mean free path is one particle diameter, calculate the maximum number of particles we can have in any given volume, \(V\).

b. Derive an expression for the overall collision frequency, \(\Omega_{c}\). Does it depend on the particle diameter, \(d_{p}\) and if so, how?

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8k,T 1/2 2. (a,a) = d (8k) (+) Overall collision (3.8) frequency