The collision frequency z of a molecule of mass m in a gas at a pressure pis

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The collision frequency z of a molecule of mass m in a gas at a pressure pis z = 4(J (kTlnm) 1/2p/kT, where o is the collision cross-section. Find an expression for the collision-limited lifetime of an excited state assuming that every collision is effective. Estimate the width of rotational transition in HCI ((J= 0.30 nm2) at 25°C and 1.0 atm. To what value must the pressure of the gas be reduced in order to ensure that collision broadening is less important than Doppler broadening?
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