By Arther Adamson (Auth.)
A Textbook of actual Chemistry
summary: A Textbook of actual Chemistry
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This is often an actual copy of a publication released sooner than 1923. this isn't an OCR'd publication with unusual characters, brought typographical error, and jumbled phrases. This booklet could have occasional imperfections similar to lacking or blurred pages, terrible photographs, errant marks, and so forth. that have been both a part of the unique artifact, or have been brought through the scanning strategy.
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Extra resources for A Textbook of Physical Chemistry
We must then divide out the permutations that should not be present. Thus in the case of system 2, there are 6! ways of permuting the molecules in the * box, 3! ways for the e box, and 1! or one way for the c box. ) = 840. The general statements of the preceding conditions are then 1 τ 2 3 1 2 2 1 2 3 Ν = £ Ν • = constant, (2-8) Ε = £ Ni€ = constant, (2-9) 4 t W AM where N denotes the number of molecules in the zth state of energy e and W is the statistical weight or probability of the particular distribution.
L We turn now to the van der Waals equation; referring to Fig. 1-12, it seems clear that the section labeled V must represent the molar volume of the gaseous state of the substance, while that labeled V should correspond to the liquid state. The van der Waals equation connects these two branches with the section showing a maximum and a minimum, but a real substance takes the short cut of direct condensation when Ρ reaches P° as illustrated in Fig. 1-13. We would like to know how to locate the horizontal line of this short cut, and hence the liquid vapor pressure P°.
A s a simple illustration, s u p p o s e that o n e wishes t o m a x i m i z e the area o f a rectangle subject t o the constraint that its perimeter b e c o n s t a n t . W e t h u s h a v e xy = si a n d 2x + 2y = s where χ a n d y are the sides a n d s/ a n d s t h e area a n d perimeter, respectively. B y the variation m e t h o d , w e write 9 y 8x + χ 8y = 0, 2 8x + 2 δ ; = 0, a n d , introducing the undetermined multiplier, a, (y8x + x8y) + a(28x + 2 8 ; ) = 0, or (y + 2a) 8x + (x + 2a) 8y = 0.
A Textbook of Physical Chemistry by Arther Adamson (Auth.)