Helium partition function

Write the partition function for 1 mole of helium and find expressions for... 

For the He/MeONO system, the temperature dependence of Pn for He was determined [119. An 18% decrease in over a 31 K increase in temperature was observed. This trend is similar to that observed previously for MIC [122] and can be explained by considering the size of the vibrational partition function of MeONO which increases by 19% over the 31 K temperature interval studied. Previous studies of collisional energy transfer in MeONO have shown that the vibrational degrees of freedom of the colliders is important. Thus, an inert gas such as helium, which has only translational degrees of freedom, would be expected to show a decrease in collision efficiency relative to MeONO on itself with increasing temperature. 

It is an experimental fact for inert gases such as helium, neon, and argon that the electronic energy can be ignored near room temperature, and we will see in the next section that this leads to a constant value for Zei. We now focus on the translational partition function. 

Calculate the molecular partition functions of helium gas and krypton gas at 298.15 K, assuming each gas is confined in a volume of 24.45 L. Explain the difference in the two results in terms of effective number of accessible states. 

In summary, a gas chromatograph functions as follows. An inert carrier gas (like helium) flows continuously from a large gas cylinder through the injection port, the column, and the detector. The flow rate of the carrier gas is carefully controlled to ensure reproducible retention times and to minimize detector drift and noise. The sample is injected (usually with a microsyringe) into the heated injection port where it is vaporized and carried into the column, typically a capillary column 15 to 30 m long, coated on the inside with a thin (0.2 fim) film of high boiling liquid (the stationary phase). The sample partitions between the mobile and stationary phases, and is separated into individual components based on relative solubility in the liquid phase and relative vapor pressures. 

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