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The number of collisions z that a molecule in the gas phase makes per unit time,...

The number of collisions z that a molecule in the gas phase makes per unit time, when only one species is present, is given by z=pid^2(8kT/pim)^1/2(P/kT)where d is the collision diameter, m the molecular mass, T the temperature, and p the pressure. For benzene at 1 Torr and 293 K, and assuming d 1⁄4 5 A ̊ , calculate z and hence the pressure broadening Dn, in hertz, of observed transitions.

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