Qtrans, partition function

Using the previously derived expressions for q, we can now obtain expressions for each of the entropy terms. Equation 8.59 gives the molecular partition function for three-dimensional translational motion of a gas. Substituting this qtrans into Eq. 8.102, we obtain... 

Note that the partition function associated with the reaction coordinate is identical to the expression obtained from classical statistical mechanics, Qtrans = (1 /h) f- oo exp(—H/kBT)dpxdx,... 

Note that Q,rans is given per degree of freedom, implying that the total translational partition function for an adsorbed molecule is given by (Qtrans)2- Also, the total partition functions for vibration and rotation are the products of terms for... 

Further, we will presume at this point that the translational partition function, qtrans. is the major contributor to the thermodynamic properties of a monatomic gas. (We will justify this by using the kinetic theory of gases, which is covered in Chapter 19. The relative contributions of q iect and q will be considered in Chapter 18.) Therefore, for a monatomic ideal gas, we are assuming that... 

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