Physical Chemistry , 1st ed.

where the second equation is simply an algebraic rearrangement of the first one. Rearranging by applying the properties of logar ...

can be thought of as a measure of the number of possible places objects can occupy. This is one way of defining. And when such a ...

as long as the other relevant conditions apply to the system. Statistical ther- modynamics’ definition of entropy is thus consis ...

For atomic and molecular systems, we actually have such expressions: they come from the application of quantum mechanics to the ...

qexp exp h^2 (n 8 x 2 m  V n 2/ y 2 (^3) k  T nz^2 )  q nz exp 8 m  V h 2 2 / n 3 x^2 kT  ny exp 8  m h ...

Equation 17.54 is a useful conclusion. The (translational) partition func- tion, originally defined as an infinite sum of negati ...

Raising this unit to the power of 3/2 and including the m^3 unit from the vol- ume term, we have m 1  (^2)  3/2 m^3  m 1 ...

This is similar to the expression we get using the kinetic theory of gases (which we will consider in a later chapter). Statisti ...

0.08205 m L o a l t  m K 6.022  1023 /mol k k The mole units cancel on both sides of the fraction; for kwe get: k1.363 ...

Note the presence of the liter-to-m^3 conversion and the joule-to-Latm con- version in the appropriate places. Evaluating this ...

where in the second equality we have made a substitution using pmv. Comparing equations 17.64 and 17.65, we find that the class ...

wavelength be much, much smaller than the distance between the particles. If this is so, then the thermal de Broglie wavelength ...

17.2 Statistics 17.1.How many ways are there of putting three identical balls in four separate boxes, with one ball in each box? ...

17.17.What temperature is necessary to have twice as many atoms in the ground state as in the first excited state, at 16.4 cm^1 ...

18 T HE PREVIOUS CHAPTER INTRODUCED some of the basic concepts that led to the development of a statistical approach to energy a ...

Once we establish the complete partition function of a molecular gaseous species, we will consider one additional application of ...

Further, we approximated qqtrans, and were able to determine an expression for qin terms of various quantities, including the m ...

levels are so large, it would take millions or billions of degrees or atmospheres to have any significant change in qnuc. Since ...

and fifth energy levels. At what energy level can we truncate the summation for the electronic partition function? Assume standa ...

so it will have to be included explicitly in the determination ofqelect. Therefore, we have the electronic partition function as ...